Lesson 1 Order of Operations

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1 Lesson 1 Order of Operations "Operations" means things like add, subtract, multiply, divide Student A solved the following problem: 17-7 x 2 = 20. Is he correct? Why or why not?

2 Lesson 1 Order of Operations PEMDAS You can remember it by saying "Please Excuse My Dear Aunt Sally".

3 Lesson 2 & 3 Place Value

4 The symbols are: Lesson 4 Ordering < (less than) > (greater than) To compare two whole numbers, 1. Put them in standard form. 2. The one with more digits is greater than the other. Example: 402 has more digits than 42, so 402 > 42

5 Lesson 4 Ordering 3. If they have the same number of digits, Compare the most significant digits (the leftmost digit). The one having the larger significant digit is greater. If the most significant digits are the same, Compare the next pair of digits from the left. Repeat this until the pair of digits is different. The number with the larger digit is greater Example: 402 and 412 have the same number of digits. Compare the leftmost digit of each number Moving to the right, we compare the next two numbers 402 < 412

6 Lesson 5 Rounding Whole Numbers Student A has $1200, and Student B has $2100. Approximately, how many thousands do they both have? Rounding makes numbers easier to work with. Rounding is useful in making estimates of sums, differences, etc.

7 Lesson 5: Rounding Whole Numbers To round numbers to the nearest ten, o Numbers that end in 1 through 4: round down to 0. o Ex. 43 becomes 40. o Numbers that end in 5 or more: round up to the next even ten. Examples: o Ex. 45 becomes 50. Rounding 119 to the nearest ten gives:? Rounding 155 to the nearest ten gives:? Rounding 102 to the nearest ten gives:?

8 Lesson 5 Rounding Whole Numbers To round numbers to the nearest hundred, Numbers that end in 1 through 49: end in 00 o Ex. 243 becomes 200. Numbers that end with 50: round up to the next even hundred. o Ex. 353 becomes 400. To round a number to any place value Examples: Rounding 180 to the nearest hundred gives:?? Round 1,234 to the nearest thousand:?? Rounding 150,090 to the nearest hundred thousand gives??

9 Lesson 6 Adding and Subtracting

10 Lesson 7 Problem Solving In December, a local burger chain sold 4,354 hamburgers. This was 1,567 fewer than in November. What was the total number of hamburgers sold for the two months?

11 Lesson 7 Problem Solving What was the total number of hamburgers sold for the two months? 4,354 Sold in December + 1,567 Fewer than in November. 5,921 Sold in November + 4,354 Sold in December 10,275 Total number sold

12 Lesson 8 Multiplying and Dividing Whole Numbers

13 Lesson 8: Multiplying and Dividing Whole Numbers

14 Lesson 8 Multiplying and Dividing Whole Numbers Divisibility by 2 A whole number is divisible by 2 if the rightmost digit is even: (either 0, 2, 4, 6, or 8). Examples: 84 is divisible by ? 31? 66667?

15 Lesson 8 Multiplying and Dividing Whole Numbers Divisibility by 3 A whole number is divisible by 3 if the sum of all its digits is divisible by 3. Examples: 177 is divisible by 3: sum = ? sum =? ? sum =?

16 Lesson 8 Multiplying and Dividing Whole Numbers Divisibility by 4 A whole number is divisible by 4 if the last two digits are divisible by 4. Examples: 124 is divisible by ? 88124?

17 Lesson 8 Multiplying and Dividing Whole Numbers Divisibility by 5 A whole number is divisible by 5 if the last digit is 0 or 5. Examples: 125 is divisible by ? 88120?

18 Lesson 8 Multiplying and Dividing Whole Numbers Divisibility by 6 A whole number is divisible by 6 if it is divisible by 2 and 3 Examples: 324 is divisible by 6 315? 120?

19 Lesson 8 Multiplying and Dividing Whole Numbers Divisibility by 8 A whole number is divisible by 8 if the last three digits are divisible by 8 Examples: 128 is divisible by ? 88160?

20 Lesson 8 Multiplying and Dividing Whole Numbers Divisibility by 9 A whole number is divisible by 9 if the sum of the digits is divisible by 9 Examples: 126 is divisible by ? 88180?

21 Lesson 9 Money and Decimals Everyone who knows how to write dollars and cents knows how to write decimals. The dot in $9.50 is a decimal point The dollars are to the left of the decimal point The first digit to the right of the decimal point is the dime s position The second digit to the right of the decimal point is the penny s position Example: To pay $13.09, you need: dollars, dimes, pennies

22 Lesson 10 Decimal Place Values The first place to the right of the decimal point is called tenth The second place to the right of the decimal point is called hundredth Example: In 0.3 we have 3 tenths In 0.47 we have 47 hundredths

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