1) Write the decimal represented by the shaded portion of the picture on the line (the large square equals one unit).

Size: px
Start display at page:

Download "1) Write the decimal represented by the shaded portion of the picture on the line (the large square equals one unit)."

Transcription

1 PMI 5 th Grade, Unit 1 Decimal Concepts Chapter Problems Place Value Classwork 1) Write the decimal represented by the shaded portion of the picture on the line (the large square equals one unit). 2) Using the number 6,789, what digit is in the: a. Hundreds place? b. Tenths place? c. Millions place? d. Hundred thousands place? e. Thousandths place? f. Ones place? g. Hundredths place? 3) Using the number 67,980, what digit is in the: a. Hundred thousands place? b. Thousandths place? c. Tens place? d. Hundreds place? e. Tenths place? f. Hundredths place? g. Millions place? NJ Center for Teaching and Learning ~ 1 ~

2 Homework 4) Write the decimal represented by the shaded portion of the picture on the line (the large square equals one unit). 5) Using the number 647, what digit is in the: a. Hundreds place? b. Tenths place? c. Millions place? d. Hundred thousands place? e. Thousandths place? f. Ones place? g. Hundredths place? 6) Using the number 164, what digit is in the: a. Hundred thousands place? b. Thousandths place? c. Tens place? d. Hundreds place? e. Tenths place? f. Hundredths place? g. Ones place? Decimals on the Number Line Classwork 7) Label the following numbers on the number line: 0.5, 0.3, 0.9, 0.2 NJ Center for Teaching and Learning ~ 2 ~

3 8) Label the following numbers on the number line: 0.4, 0.1, 0.7, 0.8 9) Label the following numbers on the number line: 0.5, 0.25, ) Label the following numbers on the number line: 0.85, 0.35, 0.55, 0.1 Homework 11) Label the following numbers on the number line: 3.5, 3.85, 3.2, ) Label the following numbers on the number line: 10.25, 10.75, ) Label the following numbers on the number line: 7.1, 7.7, 7.45, ) Label the following numbers on the number line: 0, 1, 0.4, 0.65, 0.1, 0.2 NJ Center for Teaching and Learning ~ 3 ~

4 Classwork 15) Write the following numbers in word form. a. 4, b c d e f. 85, g h. 6,543, i j ) Write the following numbers in standard form. a. Sixteen and 73 hundredths b. Nine hundred thirty-three and seven tenths c. Two thousand, five hundred three and twenty hundredths d. Seventy-three thousandths NJ Center for Teaching and Learning ~ 4 ~

5 e. Nine hundred fifteen and sixty-five thousandths f. Eight tenths g. Forty-five thousand, six and seventy-seven hundredths h. Nine hundred fifteen thousandths i. Four hundred five and eighty-nine hundredths j. Seven thousandths Homework 17) Write the following numbers in word form. a b. 9, c d. 7,854,900.8 e f. 4, g. 54, h i j NJ Center for Teaching and Learning ~ 5 ~

6 18) Write the following numbers in standard form. a. Three hundred fifteen and seven tenths b. Nine thousand, six hundred five and seventy-three hundredths c. Seven thousand, and seven thousandths d. Four thousand, seven hundred thirty and three thousandths e. Eight and three hundred twenty-three thousandths f. Six hundred fifty-one and four tenths g. Thirteen thousandths h. Forty-five and ninety-nine hundredths i. Fourteen hundredths j. Six thousand, five hundred forty-three and twenty-one hundredths Comparing with Symbols Classwork 19) Put the correct symbol between each pair of numbers: >, <, = a f b g c h d i e j NJ Center for Teaching and Learning ~ 6 ~

7 Homework 20) Put the correct symbol between each pair of numbers: >, <, = a f b g c h d i e j Ordering Decimals Classwork 21) Use the digits to create the smallest number you can that will be between 0 and 1. a. 4,0,3 b. 5,9,2 c. 3,7,0 22) For each set of numbers, circle the number with the least value and underline the number with the greatest value. a b c d e NJ Center for Teaching and Learning ~ 7 ~

8 23) Order the numbers least to greatest a. 0.45, 0.405, 0.04, 0.5 b. 3.7,3.2, 3.09, 3.062, 24) Order the numbers greatest to least. a. 0.81, , 81, 0.081, b. 9.3,9.01, 9.32, 9.327, Homework 25) Use the digits to create the largest number you can that will be between 0 and 1. a. 6, 2, 7 b. 0, 6, 1 c. 8, 0, 4 26) For each set of numbers, circle the number with the least value and underline the number with the greatest value. a b c d e NJ Center for Teaching and Learning ~ 8 ~

9 27) Order the numbers least to greatest a. 9.03, 9.008, 9.41, 9.3 b. 0.47, 0.56, 0.6, ) Order the numbers greatest to least. a. 7.54, 7.59, 7.03, b , 0.07, 7, 0.7 Round Numbers to Designated Place Value Classwork 29) What is an advantage and a disadvantage of rounding numbers? 30) Round each of the following to the nearest tenth: a b c d e NJ Center for Teaching and Learning ~ 9 ~

10 31) Round each of the following to the nearest thousandth: a b c d e ) Round the following prices to the nearest dollar. Estimate the total cost of all the items? a. $13.75, $2.31, $5.99 b. $0.99, $3.15, $2.89 c. $1.79, $4.09, $ ) Round the following prices to the nearest half-dollar. Estimate the total cost of all the items? a. $5.55, $3.10, $6.89 b. $0.80, $1.20, $1.99 c. $14.45, $10.10, $19.99 NJ Center for Teaching and Learning ~ 10 ~

11 Homework 34) Explain two real life situations where rounding numbers would be helpful. 35) Round each of the following to the nearest hundredth: a b c d e ) Round each of the following to the nearest whole number (one): a b NJ Center for Teaching and Learning ~ 11 ~

12 c d e ) Round the following prices to the nearest dollar. Estimate the total cost of all the items? a. $6.99, $4.25, $8.79 b. $0.81, $3.19, $2.80 c. $25.61, $20.40, $ ) Round the following prices to the nearest half-dollar. Estimate the total cost of all the items? a. $15.45, $13.80, $16.99 b. $0.99, $2.22, $7.77 c. $6.80, $3.21, $5.01 NJ Center for Teaching and Learning ~ 12 ~

13 Unit Review Decimal Concepts Multiple Choice Questions 39) Which number represents sixty-nine thousandths? a. 69,000 b c d ) Which number represents twenty-three and 15 hundredths? a b. 2,315 c d ) Which number represents five hundred fifty-two and two tenths? a. 5,522 b c d ) The number is: a. nine and seventy-eight hundredths b. ninety and seventy-eight hundreds c. ninety and seventy-eight thousandths d. ninety and seventy-eight hundredths 43) The number is: a. six hundred and thirty-nine hundredths b. six hundred and thirty-nine c. six hundred thirty-nine thousandths d. six hundred thirty-nine thousand 44) The number is: a. seventy-eight thousandths b. seven and eight hundredths c. seven and eight thousandths d. seven and eight tenths NJ Center for Teaching and Learning ~ 13 ~

14 45) Which digit is in the tenths place in the number ? a. 2 b. 3 c. 4 d. 8 46) Which digit is in the thousandths place in the number ? a. 8 b. 4 c. 0 d. 3 47) Which digit is in the ones place in the number ? a. 9 b. 6 c. 7 d. 2 48) Which digit is in the hundredths place in the number ? a. 4 b. 5 c. 1 d. 6 49) a. > b. < c. = 50) a. > b. < c. = 51) a. > b. < c. = 52) a. > b. < c. = NJ Center for Teaching and Learning ~ 14 ~

15 53) a. > b. < c. = 54) Which number is the greatest? a b c d ) Which number is the greatest? a b c d ) Which number is the least? a. 3.7 b. 7.3 c d ) Which number is the least? a. 0.1 b c d ) A shirt at the mall is $9.44, a pair of pants is $22.67, and a necklace is $4.25. If you round the cost of each to the nearest dollar, and buy one of each item, what would your estimated total cost be? a. $36.00 b. $35.00 c. $36.50 d. $37.00 NJ Center for Teaching and Learning ~ 15 ~

16 59) At the toy store, a Furby costs $57.78, a teddybear costs $12.32, and a skateboard costs $ If you buy one Furby, two teddybears and one skateboard, what would your estimated total cost to the nearest dollar be? a. $101 b. $91 c. $102 d. $103 60) Joanna sells ice cream cones for $1.99, brownies for $0.56, and cookies for $1.20. If William rounds the cost of each to the nearest half dollar, and wants one of each dessert item, what would his estimated cost be? a. $4.50 b. $3.00 c. $3.80 d. $4.00 Decimal Concepts Short Constructed Response Questions 61) Write the decimal represented by the shaded portion of the picture on the line. (The large square equals one unit.) 62) Write out with words. 63) Write out with words. 64) What is three hundred and seven hundred thirty-one thousandths in numbers? NJ Center for Teaching and Learning ~ 16 ~

17 65) What is nine and nine tenths in numbers? 66) Order the numbers from least to greatest: 8, 8.3, 9, 8.65, ) Order the numbers from least to greatest: 0.8, 0.82, 0.809, ) Order the numbers from greatest to least: 0.6, 6.0, 0.006, ) Use the digits 5, 3, and 1 to create the smallest number you can between 0 and 1. 70) Use the digits 0,1 and 9 to create the largest number you can between 0 and 1. 71) Round to the nearest tenth. 72) Round to the nearest hundredth. 73) Round to the nearest one. 74) Round to the nearest hundredth. 75) Round to the nearest tenth. NJ Center for Teaching and Learning ~ 17 ~

18 Decimal Concepts Extended Constructed Response Questions 76) a. Label the following numbers on the number line: 6, 7, 6.55, 6.2, 6.8 b. Which number is least? c. Use three of the above numbers to fill in the blanks. < < 77) a. Write the words eight hundred two and eight hundred two thousandths in numbers. b. Round that same number to the nearest tenth and write that number in word form. c. Round that new number to the nearest one. NJ Center for Teaching and Learning ~ 18 ~

19 78) Shaqwana goes to the store for flowers. Roses cost $3.89, Lilies cost $2.40, and Carnations cost $0.72. a. If Shaqwana wants to buy three Roses, two Lilies, and one Carnation, what would her estimated total cost be if she rounded to the nearest dollar? b. What would her estimated cost be if she rounded to the nearest half dollar? c. Would Shaqwana be paying more, less, or the same if she changed her rounding from the dollar to the half dollar? Explain why. NJ Center for Teaching and Learning ~ 19 ~

20 ; 0.40; 0.73; a. 5 b. 0 c. 6 d. 7 e. 2 f. 3 g a. 9 b. 4 c. 1 d. 3 e. 9 f. 6 g. 7 CW-HW Answer Key ; 0.57; 0.80; a. 8 b. 3 c. nothing d. 6 e. 5 f. 4 g a. 1 b.0 c. 8 d. 9 e. 4 f. 9 g NJ Center for Teaching and Learning ~ 20 ~

21 a. four thousand, three hundred twenty-five and twenty-four hundredths b. forty-two and nine hundred seventy-six thousandths c. five hundred sixty-seven and thirteen hundredths d. six hundred fifty four thousandths e. fifteen and six thousandths f. eighty-five thousand, six hundred fifty-four and thirty-seven hundredths g. five and nine thousandths h. six million, five hundred forty-three thousand, five hundred and eighty-one hundredths i. seven hundredths j. six hundred thirty-two and five thousandths 16.a b c. 2, d e f. 0.8 g. 45, h i j a. four hundred twenty-three and five hundredths b. nine thousand, eight hundred sixty-five and five hundred forty-one thousandths c. sixty-four and five hundred six thousandths d. seven million, eight hundred fifty-four thousand, nine hundred and eight tenths e. seventy-five hundredths f. four thousand, and sixty-five hundredths g. fifty-four thousand, six hundred twelve and six thousandths h. eighty-four and one hundred fifty-six thousandths i. nine hundred and ninety-eight hundredths j. four thousandths 18.a b. 9, NJ Center for Teaching and Learning ~ 21 ~

22 c. 7, d. 4, e f g h i j. 6, a. < b. = c. < d. > e. > f. > g. > h. < i. < j. > 21.a b c a. circle= ; underline= b. circle= ; underline= c. circle= 0.375; underline= 0.85 d. circle= underline= 0.3 e. circle= underline= a < < 0.45 < 0.5 b < 3.09 < 3.2 < a. 81 > 0.81 > > b > 9.32 > 9.3 > a b c a. circle= underline= b. circle= underline= c. circle= underline= d. circle= underline= e. circle= underline= a < 9.03 < 9.3 < 9.41 b < 0.47 < 0.56 < a > 7.54 > > 7.03 b. 7 > 0.7 > 0.07 > a. > b. > c. > d. = e. < f. < g. < h. < i. < j. > 29. Rounding is used to make numbers easier to work with, but results are not precise. 30. a b. 0.8 c d. 6.0 e a b c d NJ Center for Teaching and Learning ~ 22 ~

23 e a. $22.00 b. $7.00 c. $ a. $15.50 b. $4.00 c. $ answers will vary 35. a b c d e a. 53 b. 4 c. 54 d. 6 e a. $20.00 b. $7.00 c. $ a. $46.30 b. $11.00 c. $15.00 Unit Review 39. c 40. a 41. b 42. d 43. c 44. c 45. a 46. a 47. a 48. b 49. b 50. c 51. a 52. a 53. b 54. c 55. d 56. d 57. b 58. a 59. b 60. c ; 4.4; four hundred thirty- two and eight hundredths 63. nine and sixty-four thousandths > 0.6 > 0.05 > < 8.3 < 8.65 < < < < 0.82 < a b. 6 c. answers will vary 77. a b. eight hundred two and eight tenths c a. $17.00 b. $17.50 c. more; Explanations will vary, but should indicate that when rounding half-dollars up to dollars, the numbers will be greater, than when rounding pennies up to half dollars NJ Center for Teaching and Learning ~ 23 ~

24 NJ Center for Teaching and Learning ~ 24 ~

118 One hundred Eighteen

118 One hundred Eighteen 1 2 3 4 5 6 7 8 9 10 ten 11 Eleven 12 Twelve 13 Thirteen 14 Fourteen 15 Fifteen 16 Sixteen 17 Seventeen 18 Eighteen 19 Nineteen 20 Twenty 21 Twenty 22 Twenty 23 Twenty 24 Twenty 25 Twenty 26 Twenty 27

More information

Whole Number and Decimal Place Values

Whole Number and Decimal Place Values Whole Number and Decimal Place Values We will begin our review of place values with a look at whole numbers. When writing large numbers it is common practice to separate them into groups of three using

More information

Accuplacer Arithmetic Study Guide

Accuplacer Arithmetic Study Guide Accuplacer Arithmetic Study Guide Section One: Terms Numerator: The number on top of a fraction which tells how many parts you have. Denominator: The number on the bottom of a fraction which tells how

More information

Unit 6 Number and Operations in Base Ten: Decimals

Unit 6 Number and Operations in Base Ten: Decimals Unit 6 Number and Operations in Base Ten: Decimals Introduction Students will extend the place value system to decimals. They will apply their understanding of models for decimals and decimal notation,

More information

NS3-1: Place Value Ones, Tens, and Hundreds page 33

NS3-1: Place Value Ones, Tens, and Hundreds page 33 NS3-1: Place Value Ones, Tens, and Hundreds page 33 1. Write the place value of the underlined digit. a) 17 ones b) 98 REMEMBER: 3 7 5 c) 24 d) 63 e) 381 f) 972 g) 457 h) 79 i) 261 j) 8 2. Give the place

More information

MathSphere MATHEMATICS. Equipment. Y6 Fractions 6365 Round decimals. Equivalence between decimals and fractions

MathSphere MATHEMATICS. Equipment. Y6 Fractions 6365 Round decimals. Equivalence between decimals and fractions MATHEMATICS Y6 Fractions 6365 Round decimals. Equivalence between decimals and fractions Paper, pencil, ruler Fraction cards Calculator Equipment MathSphere 6365 Round decimals. Equivalence between fractions

More information

Math. Rounding Decimals. Answers. 1) Round to the nearest tenth. 8.54 8.5. 2) Round to the nearest whole number. 99.59 100

Math. Rounding Decimals. Answers. 1) Round to the nearest tenth. 8.54 8.5. 2) Round to the nearest whole number. 99.59 100 1) Round to the nearest tenth. 8.54 8.5 2) Round to the nearest whole number. 99.59 100 3) Round to the nearest tenth. 310.286 310.3 4) Round to the nearest whole number. 6.4 6 5) Round to the nearest

More information

1 3 7 5. 2 3 1 6. The pattern going to the right or the left from the decimal point is the same but there are two big differences:

1 3 7 5. 2 3 1 6. The pattern going to the right or the left from the decimal point is the same but there are two big differences: Review of Place Values in Decimal Numbers A decimal number includes a decimal point and digit(s) to the right of the decimal point. Saying a decimal number aloud is very similar to saying a whole number

More information

One million, eight hundred forty-five thousand, twenty-seven dollars. 1, 8 4 5, 0 2 7

One million, eight hundred forty-five thousand, twenty-seven dollars. 1, 8 4 5, 0 2 7 Section 1.1 Place Value Whole numbers appear in everyday situations. We encounter whole numbers in ATM machines when we withdraw money, conduct an inventory, carry out a census count, and when counting

More information

2 Arithmetic: Place Value

2 Arithmetic: Place Value MEP Y7 Practice Book A 2 Arithmetic: Place Value This unit concentrates on place value, both for whole numbers and for decimals, and revises the important techniques of rounding numbers to a given accuracy.

More information

LESSON 5 - DECIMALS INTRODUCTION

LESSON 5 - DECIMALS INTRODUCTION LESSON 5 - DECIMALS INTRODUCTION Now that we know something about whole numbers and fractions, we will begin working with types of numbers that are extensions of whole numbers and related to fractions.

More information

Place Value of Whole Numbers Through One Million

Place Value of Whole Numbers Through One Million Place Value of Whole Numbers Through One Million Brief Overview: This learning unit develops and reviews place value concepts through millions. It involves the utilization of manipulatives. The lessons

More information

4 9 7, 5 4 8, 6 0 1, 3 7 2.

4 9 7, 5 4 8, 6 0 1, 3 7 2. 1.1 Digits and Place Value 1. Understand Digits and Place Value Digits are mathematical symbols that are arranged in a specific order to represent numeric values. There are ten different digits in our

More information

NEW STUDENT SURVEY REPORT FOR FALL 2008 COHORT

NEW STUDENT SURVEY REPORT FOR FALL 2008 COHORT NEW STUDENT SURVEY REPORT FOR FALL 2008 COHORT of NEW and TRANSFER STUDENTS Introduction The New Student Survey has been administered to new and new transfer students in all twelve Connecticut Community

More information

Exercise 4. Converting Numbers To Words And Words To Numbers. (This will help you to write cheques, stories and legal papers)

Exercise 4. Converting Numbers To Words And Words To Numbers. (This will help you to write cheques, stories and legal papers) Exercise 4 Converting Numbers To Words And Words To Numbers. (This will help you to write cheques, stories and legal papers) At the end of this exercise you will: Be able to convert numbers to the written

More information

Mathematics Success Grade 6

Mathematics Success Grade 6 T276 Mathematics Success Grade 6 [OBJECTIVE] The student will add and subtract with decimals to the thousandths place in mathematical and real-world situations. [PREREQUISITE SKILLS] addition and subtraction

More information

5 3.00 0.60 5 3.00-30 00 1 3 = 3 5 = Step 1: Divide the numerator by the denominator to get a decimal.

5 3.00 0.60 5 3.00-30 00 1 3 = 3 5 = Step 1: Divide the numerator by the denominator to get a decimal. Mixed Numbers Decimals Changing A MIXED NUMBER TO A DECIMAL: Step 1: Divide the numerator by the denominator to get a decimal. whole number numerator denominator 1 3 3 5 numerator denominator decimal 5

More information

The Lobster Problem A Lesson for Fifth and Sixth Graders

The Lobster Problem A Lesson for Fifth and Sixth Graders The Lobster Problem A Lesson for Fifth and Sixth Graders by Carrie De Francisco and Marilyn Burns From Online Newsletter Issue Number 10, Summer 2003 Money is a useful model for helping students make sense

More information

Wigan LEA Numeracy Centre. Year 6 Mental Arithmetic Tests. Block 1

Wigan LEA Numeracy Centre. Year 6 Mental Arithmetic Tests. Block 1 Wigan LEA Numeracy Centre Year 6 Mental Arithmetic Tests Block 1 6 Produced by Wigan Numeracy Centre July 2001 Year Six Mental Arithmetic Test 1 (5 seconds response time) 1. Write the number three hundred

More information

REVIEW SHEETS BASIC MATHEMATICS MATH 010

REVIEW SHEETS BASIC MATHEMATICS MATH 010 REVIEW SHEETS BASIC MATHEMATICS MATH 010 A Summary of Concepts Needed to be Successful in Mathematics The following sheets list the key concepts that are taught in the specified math course. The sheets

More information

Name of Lecturer: Mr. J.Agius LESSON 1. Place Values: Whole numbers. Hundreds Tens Units 1 1 0 1 0 0 1, 0 0 0 1 0, 0 0 0 1 0 0, 0 0 0 1, 0 0 0, 0 0 0

Name of Lecturer: Mr. J.Agius LESSON 1. Place Values: Whole numbers. Hundreds Tens Units 1 1 0 1 0 0 1, 0 0 0 1 0, 0 0 0 1 0 0, 0 0 0 1, 0 0 0, 0 0 0 LESSON 1 1.1 Place value, whole/decimal numbers Place Values: Whole numbers Million 100 Thousands 10 Thousands Thousands Hundreds Tens Units 1 1 0 1 0 0 1, 0 0 0 1 0, 0 0 0 1 0 0, 0 0 0 1, 0 0 0, 0 0 0

More information

5.1 Introduction to Decimals, Place Value, and Rounding

5.1 Introduction to Decimals, Place Value, and Rounding 5.1 Introduction to Decimals, Place Value, and Rounding 5.1 OBJECTIVES 1. Identify place value in a decimal fraction 2. Write a decimal in words 3. Write a decimal as a fraction or mixed number 4. Compare

More information

Decimals Part I. Writing Word Names for Decimals. Steps: 1. Read the whole number. 2. Read the decimal point as and

Decimals Part I. Writing Word Names for Decimals. Steps: 1. Read the whole number. 2. Read the decimal point as and Decimals Part I Decimal is a real number expressed in base 10. It is composed of digits and one decimal point. Each digit in relation to the decimal point has a particular value. Since decimal is a base

More information

Beginning & Low-Intermediate

Beginning & Low-Intermediate Unit 2 Basic Banking Services And Checking Accounts Beginning & Low-Intermediate Objectives Identify vocabulary and concepts related to basic banking services. Identify checking account services and understand

More information

Equations & Inequalities Chapter Questions

Equations & Inequalities Chapter Questions Equations & Inequalities Chapter Questions 1. When given a set of possible solutions to an equation or inequality, how do you determine which are solutions? 2. What are inverse operations? Name them. 3.

More information

Representing Decimals (pages 102 105)

Representing Decimals (pages 102 105) A Representing Decimals (pages 102 105) Decimals are numbers that are expressed using a decimal point. The decimal point separates the whole number part of the decimal from the part that is less than one.

More information

Loans: Banks or credit unions can loan you money. You pay the money back a little at a time. They charge you interest for the loan.

Loans: Banks or credit unions can loan you money. You pay the money back a little at a time. They charge you interest for the loan. Basic Banking Services and Checking Accounts Beginner & Low-Intermediate Materials What Can a Bank Do for You? Lesson 1: Introduction to Banking Services Worksheet 1-1 page 1 What Can a Bank Do for You?

More information

POINTS FOR QUICK REVISION

POINTS FOR QUICK REVISION CHAPTER 1 Knowing Our Numbers POINTS FOR QUICK REVISION l Natural Numbers: To count and calculate we use numbers 1, 2, 3, 4,... which are called counting numbers or natural numbers. l There is no greatest

More information

Structured Settlement Investments: IMMEDIATE INCOME STREAMS

Structured Settlement Investments: IMMEDIATE INCOME STREAMS Structured Settlement Investments: IMMEDIATE INCOME STREAMS Genworth Life Insurance Company A rating (539424) Sixty seven (67) monthly payment as follows: $1,000.00 due on June, 1st 2014 thru December

More information

Changing a Decimal or Fraction to a Percent

Changing a Decimal or Fraction to a Percent 6. Changing a Decimal or Fraction to a Percent 6. OBJECTIVES. Change a decimal to a percent. Change a fraction to a percent. Change a mixed number to a percent Changing a decimal to a percent is the opposite

More information

Rounding Decimals S E S S I O N 1. 5 A. Rounding Decimals

Rounding Decimals S E S S I O N 1. 5 A. Rounding Decimals S E S S I O N 1. 5 A Math Focus Points Rounding decimals to the nearest one, tenth, and hundredth Today s Plan ACTIVITY DISCUSSION Rounding a 9 Up SESSION FOLLOW-UP 45 MIN CLASS PAIRS INDIVIDUALS 15 MIN

More information

3. ROUNDING OFF DECIMAL NUMBERS TO THE NEAREST TENTH

3. ROUNDING OFF DECIMAL NUMBERS TO THE NEAREST TENTH 3. ROUNDING OFF DECIMAL NUMBERS TO THE NEAREST TENTH Material: Decimal Board and materials Small gold circle Prepared problems Paper and pencil Presentation: 1. Form a number on the board with discs: 0.68.

More information

Pre-Algebra Lecture 6

Pre-Algebra Lecture 6 Pre-Algebra Lecture 6 Today we will discuss Decimals and Percentages. Outline: 1. Decimals 2. Ordering Decimals 3. Rounding Decimals 4. Adding and subtracting Decimals 5. Multiplying and Dividing Decimals

More information

Arithmetic Review ORDER OF OPERATIONS WITH WHOLE NUMBERS

Arithmetic Review ORDER OF OPERATIONS WITH WHOLE NUMBERS Arithmetic Review The arithmetic portion of the Accuplacer Placement test consists of seventeen multiple choice questions. These questions will measure skills in computation of whole numbers, fractions,

More information

DATE PERIOD. Estimate the product of a decimal and a whole number by rounding the Estimation

DATE PERIOD. Estimate the product of a decimal and a whole number by rounding the Estimation A Multiplying Decimals by Whole Numbers (pages 135 138) When you multiply a decimal by a whole number, you can estimate to find where to put the decimal point in the product. You can also place the decimal

More information

Money: Week 1 of 2. Beginning Level (CASAS reading scores of 181-200)

Money: Week 1 of 2. Beginning Level (CASAS reading scores of 181-200) The Minnesota Literacy Council created this curriculum with funding from the MN Department of Education. We invite you to adapt it for your own classrooms. Beginning Level (CASAS reading scores of 181-200)

More information

AUTUMN UNIT 2. first half. Putting numbers into words. Multiplying and dividing by 10 and 100. Positive and negative numbers. Addition.

AUTUMN UNIT 2. first half. Putting numbers into words. Multiplying and dividing by 10 and 100. Positive and negative numbers. Addition. PART AUTUMN first half NUMBER: PLACE VALUE ADDITION AND SUBTRACTION SECTION Putting numbers into words SECTION Multiplying and dividing by 0 and 00 SECTION Positive and negative numbers SECTION Addition

More information

Assessment For The California Mathematics Standards Grade 3

Assessment For The California Mathematics Standards Grade 3 Introduction: Summary of Goals GRADE THREE By the end of grade three, students deepen their understanding of place value and their understanding of and skill with addition, subtraction, multiplication,

More information

These tests contain questions ranging from Level 3 to Level 4. They get progressively more difficult. Children should have five seconds to

These tests contain questions ranging from Level 3 to Level 4. They get progressively more difficult. Children should have five seconds to These tests contain questions ranging from Level to Level. They get progressively more difficult. Children should have five seconds to answer questions in each test and ten seconds to answer questions.

More information

Tenths, Hundredths, and Thousandths

Tenths, Hundredths, and Thousandths Mastery Drill Tenths, Hundredths, and Thousandths You remember that and can be written as common fractions or as decimal fractions. = 0. 0 = 0.0 two two Mixed numbers in or can also be written both ways.

More information

20(-1) - (-4) (-5) 10)

20(-1) - (-4) (-5) 10) Pre-Algebra Final Exam Review Name Write the whole number in words. 1) 9,300,695 1) Add. 2) 58,142 30,645 + 5,300,621 2) Round the whole number to the given place. 3) 49,815,425 to the nearest million

More information

EPISODE 22: FINANCE REPORT

EPISODE 22: FINANCE REPORT STUDY NOTES EPISODE 22: FINANCE REPORT NUMBERS, NUMERALS AND DIGITS Understanding numbers, numerals and digits is an important part of the IELTS test, and may be assessed in any section of the test. In

More information

DECIMAL COMPETENCY PACKET

DECIMAL COMPETENCY PACKET DECIMAL COMPETENCY PACKET Developed by: Nancy Tufo Revised: Sharyn Sweeney 2004 Student Support Center North Shore Community College 2 In this booklet arithmetic operations involving decimal numbers are

More information

NUMBERS AND THE NUMBER SYSTEM

NUMBERS AND THE NUMBER SYSTEM NUMBERS AND THE NUMBER SYSTEM Pupils should be taught to: Know the number names and recite them in order, from and back to zero As outcomes, Year 1 pupils should, for example: Join in rhymes like: One,

More information

Permission is given for the making of copies for use in the home or classroom of the purchaser only.

Permission is given for the making of copies for use in the home or classroom of the purchaser only. Copyright 2005 Second Edition 2008 Teresa Evans. All rights reserved. Permission is given for the making of copies for use in the home or classroom of the purchaser only. Part 1 Math Card Games to Play

More information

Produce legible text. Use a capital letter for proper nouns. Order and compare numbers up to 10, including zero

Produce legible text. Use a capital letter for proper nouns. Order and compare numbers up to 10, including zero Teacher s notes Skills and curriculum references Wt/E1.1 & Wt/E2.1 Use written words and phrases to record or present information Ws/E1.2 Punctuate a simple sentence with a capital letter and a full stop

More information

NWT Apprenticeship Support Materials

NWT Apprenticeship Support Materials NWT Apprenticeship Support Materials Math Reading Comprehension Science * Module 1 Foundations * Module 2 Patterns and Relations * Module 3 Variables and Equations * Module 4 Measuring Time, Shapes and

More information

Sunny Hills Math Club Decimal Numbers Lesson 4

Sunny Hills Math Club Decimal Numbers Lesson 4 Are you tired of finding common denominators to add fractions? Are you tired of converting mixed fractions into improper fractions, just to multiply and convert them back? Are you tired of reducing fractions

More information

Mathematics tests. Mark scheme KEY STAGE 3. for Mental mathematics tests A, B and C LOWER TIER & HIGHER TIERS. National curriculum assessments

Mathematics tests. Mark scheme KEY STAGE 3. for Mental mathematics tests A, B and C LOWER TIER & HIGHER TIERS. National curriculum assessments Ma KEY STAGE LOWER TIER & HIGHER TIERS Mathematics tests Mark scheme for Mental mathematics tests A, B and C 2008 National curriculum assessments QCA wishes to make its publications widely accessible.

More information

Numeration systems. Resources and methods for learning about these subjects (list a few here, in preparation for your research):

Numeration systems. Resources and methods for learning about these subjects (list a few here, in preparation for your research): Numeration systems This worksheet and all related files are licensed under the Creative Commons Attribution License, version 1.0. To view a copy of this license, visit http://creativecommons.org/licenses/by/1.0/,

More information

Chapter 5. Decimals. Use the calculator.

Chapter 5. Decimals. Use the calculator. Chapter 5. Decimals 5.1 An Introduction to the Decimals 5.2 Adding and Subtracting Decimals 5.3 Multiplying Decimals 5.4 Dividing Decimals 5.5 Fractions and Decimals 5.6 Square Roots 5.7 Solving Equations

More information

DIVISION OF DECIMALS. 1503 9. We then we multiply by the

DIVISION OF DECIMALS. 1503 9. We then we multiply by the Tallahassee Community College 0 DIVISION OF DECIMALS To divide 9, we write these fractions: reciprocal of the divisor 0 9. We then we multiply by the 0 67 67 = = 9 67 67 The decimal equivalent of is. 67.

More information

Decimals are absolutely amazing We have only 10 symbols, yet can represent any number, large or small We use zero (0) as a place holder to allow us

Decimals are absolutely amazing We have only 10 symbols, yet can represent any number, large or small We use zero (0) as a place holder to allow us Decimals 1 Decimals are absolutely amazing We have only 10 symbols, yet can represent any number, large or small We use zero (0) as a place holder to allow us to do this 2 Some Older Number Systems 3 Can

More information

Unit 2 Number and Operations in Base Ten: Place Value, Addition, and Subtraction

Unit 2 Number and Operations in Base Ten: Place Value, Addition, and Subtraction Unit 2 Number and Operations in Base Ten: Place Value, Addition, and Subtraction Introduction In this unit, students will review the place value system for reading and writing numbers in base ten. Students

More information

Introduce Decimals with an Art Project Criteria Charts, Rubrics, Standards By Susan Ferdman

Introduce Decimals with an Art Project Criteria Charts, Rubrics, Standards By Susan Ferdman Introduce Decimals with an Art Project Criteria Charts, Rubrics, Standards By Susan Ferdman hundredths tenths ones tens Decimal Art An Introduction to Decimals Directions: Part 1: Coloring Have children

More information

6 The Hindu-Arabic System (800 BC)

6 The Hindu-Arabic System (800 BC) 6 The Hindu-Arabic System (800 BC) Today the most universally used system of numeration is the Hindu-Arabic system, also known as the decimal system or base ten system. The system was named for the Indian

More information

Structured Settlement Investments: IMMEDIATE INCOME STREAMS NONE AVAILABLE LIFE CONTINGENT PAYMENT STREAMS

Structured Settlement Investments: IMMEDIATE INCOME STREAMS NONE AVAILABLE LIFE CONTINGENT PAYMENT STREAMS Structured Settlement Investments: IMMEDIATE INCOME STREAMS NONE AVAILABLE LIFE CONTINGENT PAYMENT STREAMS Cigna Life Insurance Company A+ rating (LIFE CONTINGENT) Backed by 525K American General Policy

More information

5 Mathematics Curriculum

5 Mathematics Curriculum New York State Common Core 5 Mathematics Curriculum G R A D E GRADE 5 MODULE 1 Topic B Decimal Fractions and Place Value Patterns 5.NBT.3 Focus Standard: 5.NBT.3 Read, write, and compare decimals to thousandths.

More information

Progressions for the Common Core State Standards in Mathematics (draft)

Progressions for the Common Core State Standards in Mathematics (draft) Progressions for the Common Core State Standards in Mathematics (draft) cthe Common Core Standards Writing Team 2 April 202 K 5, Number and Operations in Base Ten Overview Students work in the base-ten

More information

Five daily lessons. Page 9 Page 11. Page 17

Five daily lessons. Page 9 Page 11. Page 17 Unit 2 Ordering, estimating and rounding Year 2 Spring term Unit Objectives Year 2??Read and write whole numbers to at least 100 in figures and words.??compare two given two-digit numbers, say which is

More information

MMLA Student Test/MathAssessments.MSCenters.Org. MMLA Mathematics Assessment Items

MMLA Student Test/MathAssessments.MSCenters.Org. MMLA Mathematics Assessment Items Page 1 of 42 MMLA Mathematics Assessment Items Name: Date: Multiple Choice Questions Select the one best answer for each question. 1. Which of the following sets of numbers are all of the factors of 24?

More information

Chapter 4 -- Decimals

Chapter 4 -- Decimals Chapter 4 -- Decimals $34.99 decimal notation ex. The cost of an object. ex. The balance of your bank account ex The amount owed ex. The tax on a purchase. Just like Whole Numbers Place Value - 1.23456789

More information

Basic Pre Algebra Intervention Program

Basic Pre Algebra Intervention Program Basic Pre Algebra Intervention Program This 9 lesson Intervention Plan is designed to provide extra practice lessons and activities for students in Pre Algebra. The skills covered are basics that must

More information

Math 0306 Final Exam Review

Math 0306 Final Exam Review Math 006 Final Exam Review Problem Section Answers Whole Numbers 1. According to the 1990 census, the population of Nebraska is 1,8,8, the population of Nevada is 1,01,8, the population of New Hampshire

More information

What numbers could you use to describe a building or infrastructure project?

What numbers could you use to describe a building or infrastructure project? Worksheet 1 Questions about numbers What numbers could you use to describe a building or infrastructure project? What numbers could you use to describe the job of architect? What questions would you ask

More information

Phoenix Management Services Lending Climate in America Survey

Phoenix Management Services Lending Climate in America Survey Phoenix Management Services Lending Climate in America Survey 4th Quarter 2010 Summary, Trends and Implications PHOENIX LENDING CLIMATE IN AMERICA QUARTERLY SURVEY SUMMARY, TRENDS AND IMPLICATIONS 1. Existing

More information

hundred thousands one thousands ten thousands one millions hundreds

hundred thousands one thousands ten thousands one millions hundreds Title: Rounding Numbers Grade(s): 4 Subject(s): Mathematics, Technology Education Author: ICAC Team Overview: After reviewing place value and rounding, students will create place value tables and solve

More information

1 Write the value of each underlined digit as a fraction. 2 Write the value of each underlined digit in words. 3 Write these numbers in words.

1 Write the value of each underlined digit as a fraction. 2 Write the value of each underlined digit in words. 3 Write these numbers in words. 1 Write the value of each underlined digit as a fraction. a 2.765 b 0.914 c 12.38 d 36.95 2 Write the value of each underlined digit in words. a 7.21 b 0.287 c 124.38 d 0.004 3 Write these numbers in words.

More information

MA 1125 Lecture 14 - Expected Values. Friday, February 28, 2014. Objectives: Introduce expected values.

MA 1125 Lecture 14 - Expected Values. Friday, February 28, 2014. Objectives: Introduce expected values. MA 5 Lecture 4 - Expected Values Friday, February 2, 24. Objectives: Introduce expected values.. Means, Variances, and Standard Deviations of Probability Distributions Two classes ago, we computed the

More information

5 Mathematics Curriculum

5 Mathematics Curriculum New York State Common Core 5 Mathematics Curriculum G R A D E GRADE 5 MODULE 1 Topic C Place Value and Rounding Decimal Fractions 5.NBT.4 Focus Standard: 5.NBT.4 Use place value understanding to round

More information

1004.6 one thousand, four AND six tenths 3.042 three AND forty-two thousandths 0.0063 sixty-three ten-thousands Two hundred AND two hundreds 200.

1004.6 one thousand, four AND six tenths 3.042 three AND forty-two thousandths 0.0063 sixty-three ten-thousands Two hundred AND two hundreds 200. Section 4 Decimal Notation Place Value Chart 00 0 0 00 000 0000 00000 0. 0.0 0.00 0.000 0.0000 hundred ten one tenth hundredth thousandth Ten thousandth Hundred thousandth Identify the place value for

More information

Figure 24.1. The concepts of percents, fractions, and decimals are interrelated so it is important to be able to convert among all three forms.

Figure 24.1. The concepts of percents, fractions, and decimals are interrelated so it is important to be able to convert among all three forms. 24 Percent Percents are very useful in conveying informtation. People hear that there is 60 percent chance of rain or that the interest rate on mortgage loans is up by 0.5 percent. Percents were devised

More information

WSMA Decimal Numbers Lesson 4

WSMA Decimal Numbers Lesson 4 Thousands Hundreds Tens Ones Decimal Tenths Hundredths Thousandths WSMA Decimal Numbers Lesson 4 Are you tired of finding common denominators to add fractions? Are you tired of converting mixed fractions

More information

Maths Assessment Year 4: Fractions

Maths Assessment Year 4: Fractions Name: Maths Assessment Year : Fractions 1. Recognise and show, using diagrams, families of common equivalent fractions. 2. Count up and down in hundredths. 3. Solve problems involving increasingly harder

More information

Keystone National High School Placement Exam Math Level 1. Find the seventh term in the following sequence: 2, 6, 18, 54

Keystone National High School Placement Exam Math Level 1. Find the seventh term in the following sequence: 2, 6, 18, 54 1. Find the seventh term in the following sequence: 2, 6, 18, 54 2. Write a numerical expression for the verbal phrase. sixteen minus twelve divided by six Answer: b) 1458 Answer: d) 16 12 6 3. Evaluate

More information

4 Mathematics Curriculum

4 Mathematics Curriculum New York State Common Core 4 Mathematics Curriculum G R A D E GRADE 4 MODULE 1 Topic F Addition and Subtraction Word Problems 4.OA.3, 4.NBT.1, 4.NBT.2, 4.NBT.4 Focus Standard: 4.OA.3 Solve multistep word

More information

Mathematical goals. Starting points. Materials required. Time needed

Mathematical goals. Starting points. Materials required. Time needed Level N of challenge: B N Mathematical goals Starting points Materials required Time needed Ordering fractions and decimals To help learners to: interpret decimals and fractions using scales and areas;

More information

LESSON PLANS FOR PERCENTAGES, FRACTIONS, DECIMALS, AND ORDERING Lesson Purpose: The students will be able to:

LESSON PLANS FOR PERCENTAGES, FRACTIONS, DECIMALS, AND ORDERING Lesson Purpose: The students will be able to: LESSON PLANS FOR PERCENTAGES, FRACTIONS, DECIMALS, AND ORDERING Lesson Purpose: The students will be able to: 1. Change fractions to decimals. 2. Change decimals to fractions. 3. Change percents to decimals.

More information

4 th Grade Summer Mathematics Review #1. Name: 1. How many sides does each polygon have? 2. What is the rule for this function machine?

4 th Grade Summer Mathematics Review #1. Name: 1. How many sides does each polygon have? 2. What is the rule for this function machine? . How many sides does each polygon have? th Grade Summer Mathematics Review #. What is the rule for this function machine? A. Pentagon B. Nonagon C. Octagon D. Quadrilateral. List all of the factors of

More information

Reading and Writing Large Numbers

Reading and Writing Large Numbers Reading and Writing Large Numbers Objective To read and write large numbers in standard, expanded, and number-and-word notations. www.everydaymathonline.com epresentations etoolkit Algorithms Practice

More information

MATH COMPUTATION. Part 1. TIME : 15 Minutes

MATH COMPUTATION. Part 1. TIME : 15 Minutes MATH COMPUTATION Part 1 TIME : 15 Minutes This is a practice test - the results are not valid for certificate requirements. A calculator may not be used for this test. MATH COMPUTATION 1. 182 7 = A. 20

More information

Calculation Policy Fractions

Calculation Policy Fractions Calculation Policy Fractions This policy is to be used in conjunction with the calculation policy to enable children to become fluent in fractions and ready to calculate them by Year 5. It has been devised

More information

Has difficulty with counting reliably in tens from a multiple of ten

Has difficulty with counting reliably in tens from a multiple of ten Has difficulty with counting reliably in tens from a multiple of ten Opportunity for: looking for patterns 5 YR / 100-square Tens cards (Resource sheet 24) Multiples of ten (10 100) written on A5 pieces

More information

Revision Notes Adult Numeracy Level 2

Revision Notes Adult Numeracy Level 2 Revision Notes Adult Numeracy Level 2 Place Value The use of place value from earlier levels applies but is extended to all sizes of numbers. The values of columns are: Millions Hundred thousands Ten thousands

More information

Chapter 3 Review Math 1030

Chapter 3 Review Math 1030 Section A.1: Three Ways of Using Percentages Using percentages We can use percentages in three different ways: To express a fraction of something. For example, A total of 10, 000 newspaper employees, 2.6%

More information

Percent Word Problems

Percent Word Problems Percent Word Problems Ratio and proportion method Here are several aids that will help you solve word problems: 1. Make sure you understand the question that is asked 2. Sort out the information to make

More information

Economic Literacy Activities

Economic Literacy Activities Economic Literacy Activities Activity 1: Canadian Coins... 1 Activity 2: Cash or Charge... 4 Activity 3: Money Amounts...23 Activity 4: Hours of Business Game...42 Activity 5: Canadian Coins...57 Activity

More information

Unit 1: Greetings and Introductions. Level 2 ESL

Unit 1: Greetings and Introductions. Level 2 ESL Unit 1: Greetings and Introductions Level 2 ESL Revision 3.5 Instructor: Robert Ferrier ferrierr@durhamtech.edu 1 Please bring the following to every class: Your binder and all unit packages Pencil or

More information

Possible Stage Two Mathematics Test Topics

Possible Stage Two Mathematics Test Topics Possible Stage Two Mathematics Test Topics The Stage Two Mathematics Test questions are designed to be answerable by a good problem-solver with a strong mathematics background. It is based mainly on material

More information

Wigan LEA Numeracy Centre. Year 3 Time Block 3 Mental Arithmetic Test Questions

Wigan LEA Numeracy Centre. Year 3 Time Block 3 Mental Arithmetic Test Questions Wigan LEA Numeracy Centre Year 3 Time Block 3 Mental Arithmetic Test Questions Produced by Wigan Numeracy Centre September 2000 Test 3 (end of week 2) Year 3 Block 3 I will read every question twice. In

More information

Learning English with CBC Radio Living in Alberta. Understanding Credit Cards

Learning English with CBC Radio Living in Alberta. Understanding Credit Cards Learning English with CBC Radio Living in Alberta Understanding Credit Cards by Maroro Zinyemba Project Manager: Justine Light Daylight Consulting Inc. Integration Enhancement Topic: Budgeting Basics Lesson:

More information

FSCJ PERT. Florida State College at Jacksonville. assessment. and Certification Centers

FSCJ PERT. Florida State College at Jacksonville. assessment. and Certification Centers FSCJ Florida State College at Jacksonville Assessment and Certification Centers PERT Postsecondary Education Readiness Test Study Guide for Mathematics Note: Pages through are a basic review. Pages forward

More information

Section 5.4 Multiplying Decimals

Section 5.4 Multiplying Decimals Section 5.4 Multiplying Decimals Objectives In this section, you will learn to: To successfully complete this section, you need to understand: Multiply a decimal by a decimal. Multiplying whole numbers

More information

Exponents. Exponents tell us how many times to multiply a base number by itself.

Exponents. Exponents tell us how many times to multiply a base number by itself. Exponents Exponents tell us how many times to multiply a base number by itself. Exponential form: 5 4 exponent base number Expanded form: 5 5 5 5 25 5 5 125 5 625 To use a calculator: put in the base number,

More information

The basis of the Management Board s standpoint

The basis of the Management Board s standpoint 15 January 2016 Standpoint of the Management Board of Grupa DUON S.A. concerning Public Tender Offer for the Sale of Shares of Grupa DUON S.A., announced by Fortum Holding B.V. on 8 January 2016 The Management

More information

lesson six using banking services teacher s guide

lesson six using banking services teacher s guide lesson six using banking services teacher s guide using banking services web sites web sites for banking services The Internet is probably the most extensive and dynamic source of information in our society.

More information

2015 School Competition Target Round Problems 1 & 2

2015 School Competition Target Round Problems 1 & 2 2015 School Competition Target Round Problems 1 & 2 Name DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO. This section of the competition consists of eight problems, which will be presented in pairs. Work

More information

Place Value of Whole Numbers (through 999,999) 1. What numeral means the same as 40,000 + 2,000 + 50 + 7?

Place Value of Whole Numbers (through 999,999) 1. What numeral means the same as 40,000 + 2,000 + 50 + 7? Place Value of Whole Numbers (through 999,999) 1. What numeral means the same as 40,000 + 2,000 + 50 + 7? A. 42,507. 42,057. 40,057. 40,257 2. How is the numeral 907,203 written in words? A. Ninety-seven

More information

IMMEDIATE INCOME STREAMS

IMMEDIATE INCOME STREAMS IMMEDIATE INCOME STREAMS Symetra Life Insurance Company A rating (897174) Five (5) monthly payments as follows: $391.10 from June 15 th, 2014 till October 15 th, 2014; Twelve (12) monthly payments as follows:

More information

Number Expressions in Ojibwe

Number Expressions in Ojibwe Number Expressions in Ojibwe R. Valentine The following examples of number expressions in Ojibwe (Odawa/Chippewa dialect) are taken from Frederick Baraga s grammar, which was published in 1850. These forms

More information