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. 5 1 = 1.5 =.65 one and five two and sixty-five Thousandths, ten, hundred, and so on, can also be written as common fractions or decimal fractions. 365 1,000 = 0.365 5 = 5.0016 three hundred sixty-five 8,54 0,000 4 = 4.854 five and sixteen ten four and twenty-eight thousand, five hundred forty-two hundred 65 0 16,000 You can see that it is more efficient to work with decimals than with fractions that are this complicated especially when we need to add, subtract, or multiply them! This year you will work mostly with decimal,, and. Tenths have one digit after the decimal point. five 0.5 four and one tenth 4.1 Hundredths have two digits after the decimal point. two and six.06 fifteen 0.15 6
Lesson Thousandths have three digits after the decimal point. three hundred eight 0.308 one and five 1.005 Zeros hold places that have no other digit. 0.308 1.005 Match. 1. a. 3 decimal places. b. 1 decimal place Romania is the 1th largest country in Europe. 3. c. decimal places Write the decimal for each fraction and mixed number. 3 4. a. b. 1 c. 6 185 1,000 31 0 45 0 5. a. b. c. 5 35 1,000 Write a fraction or mixed number for each decimal. 6. a. 0.3 b. 5.9 c. 0.5 7. a. 0.08 b. 0.7 c. 8. Read these numbers to your teacher. 543,834,97 509,670,000 464,000,083 5,400,000 8.4 0.15 1 4 We R e m e m b e r Round to the nearest whole number. 8. a. 1.095 b. 9.751 c. 13.19 d. 39.5 7
Lesson + - x S k i l l B u i l d e r s 5 8,0 0 9,0 0 0 3 6 5 9. a. 1 4,3 0, 1 1 1 b. 8 ) 9 6 c. 7 8 d. + 5 1 15 4 15 7 15 Write < or >. - -9-8 -7-6 -5-4 -3 - -1 0 1 3 4 5 6 7 8 9. a. 6 16 b. -6-16 c. -3 d. -1 Use letters and symbols to write the names. A B 11. line segment 1. ray U V 13. line L Write parallel, perpendicular, or intersect. Z Y 14. AB and BL and are to each other. Z 15. UV is to AB. Find the area of each shape. Label your answers in square units. When all sides are the same, only one side will be labeled. 3 ft 7 ft m 4 cm 16. a. b. c. 5 cm Write the ratio. 8 17. Each cow at Nathaniel Orphanage eats about 30 lbs of silage and 15 lbs of grain in one day. What is the ratio of silage to grain?
Lesson 18. Ramona s tata makes 90,000 lei (Romanian money) a day. How many lei does he make in a week if he works at the factory 5 days a week? Answer: 19. The famous Danube River flows 1,450 kilometers to reach the country of Romania. The river continues for another 1,400 kilometers through Romania before emptying into the Black Sea. How long is the Danube River? Answer: Write these as one-place decimals. 0. a..50 b. 0.30 Write these as two-place decimals. 1. a. 0.6 b. 3.8 Round to the nearest ten.. a. 58 b. 195 c. 3,649 Round to the nearest hundred. 3. a. 1,495 b.,936 c. 759 Estimate. 4. a. estimate 685 43 b. estimate 49 57 = = Write a fraction or mixed number for each decimal. Write a decimal for each fraction or mixed number. 5 5. a. b. c. 4 6. a..9 b. 3.09 c. 0. 51 0 15 00 9
Mastery Drill 3 3 Decimals and Place Value 5, 0 6. 8 9 7 five thousand, two hundred six and eight hundred ninety-seven Each digit of this number has a place value. Notice that on either side of the column, the place values run in opposite directions. We use s at the end of the whole number place values to the left of the decimal point: We use ths at the end of the decimal place values to the right of the decimal point: Write the digits from each number in the place-value chart. The first one is done for you. 1. a..60 b. 0.785 6 0. a. 3,40.6 b. 9.3 Write place-value names. 3. The first place to the left of the decimal point is. 4. The third place to the right of the decimal point is. 5. The fourth place to the left of the decimal point is.
Lesson 3 Follow the directions to write the number. 6.,. Write 4 in the place. Write in the place. Write 1 in the place. Write 0 in the place. Write 8 in the place. Write 6 in the place. Write 5 in the place. Name the place value of the 7 in each number. 7. a. 7,468.1 b. 7.006 8. a. 459.607 b. 530.07 We R e m e m b e r Write a fraction or mixed number for each decimal. Write a decimal for each fraction or mixed number. 35 0 65 00 9. a. b. c. 6. a. 0.5 b. 0.1 c. 0.06 3 Write the decimal for each picture. 11. a. b. Write acute, right, or obtuse for each angle. 1. a. b. c. 11
Lesson 3 + - x S k i l l B u i l d e r s 5 Write the remainder as a fraction. Check by multiplying. 6 1 $ 3 5.8 9 1 13. a. 5 1 b. ) 5 7 c. 3 d. 6 7 4 7 Write the volume in cubic centimeters. 14. 5 cm 3 cm 4 cm 15. The Hanganu (hän gäå nü) family grows grapes in the courtyard. Mrs. Hanganu picked 7 bunches of grapes for making grape juice. If each bunch has 55 grapes, how many grapes are on the 7 bunches? Answer: Continue the pattern of the rolling figure. 16. 1
Lesson 3 Round to the nearest dollar. 17. a. $36.1 b. $16.94 c. $4.55 Underline the correct answer. 18. If it is a fifteen-minute car ride to Oravita, and a fifteen-minute walk to the nearest lake, then Heather lives closer to the lake, Oravita. Copy and solve. 19. 5.3 + 9.5 + 3.1 + 8.9 Write these numbers. To shop in Romania, you must understand large numbers. The leu (lü) is the monetary unit in Romania. The plural form of this word is lei (l6). There are 500-lei coins, 1,000-lei coins, and 5,000-lei coins. The paper money starts at,000 lei. There are also,000-lei notes, 0,000- lei notes, 50,000-lei notes, 0,000-lei notes, 500,000-lei notes and 1,000,000-lei notes. 0. Four and seven (decimal) 1. Six million, two hundred seven thousand, five hundred thirty-eight Order these decimal numbers from least to greatest.. 0.39 1.3 0.93 0.83 3. 3. 1.5 3.4 Name the place value of the 4 in each number. 4. a. 7,408.1 b. 9.34 5. a. 574.639 b. 5.418 13