Chapter 13: worked solutions and marking guide
39 review answers and 39 exam answers
Chapter review solutions
Calculate 4.7 + 0.2.
Combine 47 and 2 tenths to get 49 tenths, or 4.9.
Calculate 5.8 + 4.7.
The tenths combine to 15 tenths, which makes one whole and 5 tenths. Add whole units to get 10.5.
Calculate 5.3 − 1.9.
Rename 5.3 as 4 wholes and 13 tenths. Subtract 1 whole and 9 tenths; result 3.4.
Calculate 1.39 + 2.03.
Add 139+203 exact hundredths = 342 hundredths = 3.42.
Calculate 1.00 − 0.51.
Rename 1.00 as 100 hundredths; subtract 51 hundredths to get 49 hundredths.
Calculate 7.44 − 2.11.
744 hundredths minus 211 hundredths = 533 hundredths = 5.33.
An item costs $2.60 and another costs $2.79. What is their exact combined price?
Add cents exactly: 260+279=539 cents = $5.39.
Calculate 4.1 + 0.3.
Combine 41 and 3 tenths to get 44 tenths, or 4.4.
Calculate 1.9 + 1.7.
The tenths combine to 16 tenths, which makes one whole and 6 tenths. Add whole units to get 3.6.
Calculate 7.3 − 1.8.
Rename 7.3 as 6 wholes and 13 tenths. Subtract 1 whole and 8 tenths; result 5.5.
Calculate 5.45 + 3.94.
Add 545+394 exact hundredths = 939 hundredths = 9.39.
Calculate 1.00 − 0.91.
Rename 1.00 as 100 hundredths; subtract 91 hundredths to get 9 hundredths.
Calculate 3.84 − 2.68.
384 hundredths minus 268 hundredths = 116 hundredths = 1.16.
An item costs $4.83 and another costs $2.81. What is their exact combined price?
Add cents exactly: 483+281=764 cents = $7.64.
Calculate 3.7 + 0.3.
Combine 37 and 3 tenths to get 40 tenths, or 4.0.
Calculate 3.7 + 0.9.
The tenths combine to 16 tenths, which makes one whole and 6 tenths. Add whole units to get 4.6.
Calculate 3.2 − 1.6.
Rename 3.2 as 2 wholes and 12 tenths. Subtract 1 whole and 6 tenths; result 1.6.
Calculate 1.27 + 1.97.
Add 127+197 exact hundredths = 324 hundredths = 3.24.
Calculate 1.00 − 0.34.
Rename 1.00 as 100 hundredths; subtract 34 hundredths to get 66 hundredths.
Calculate 6.08 − 1.50.
608 hundredths minus 150 hundredths = 458 hundredths = 4.58.
An item costs $5.01 and another costs $2.80. What is their exact combined price?
Add cents exactly: 501+280=781 cents = $7.81.
Calculate 3.7 + 1.2.
Combine 37 and 12 tenths to get 49 tenths, or 4.9.
Calculate 5.9 + 2.6.
The tenths combine to 15 tenths, which makes one whole and 5 tenths. Add whole units to get 8.5.
Calculate 2.2 − 1.6.
Rename 2.2 as 1 wholes and 12 tenths. Subtract 1 whole and 6 tenths; result 0.6.
Calculate 4.72 + 3.15.
Add 472+315 exact hundredths = 787 hundredths = 7.87.
Calculate 1.00 − 0.49.
Rename 1.00 as 100 hundredths; subtract 49 hundredths to get 51 hundredths.
Calculate 5.67 − 2.59.
567 hundredths minus 259 hundredths = 308 hundredths = 3.08.
An item costs $2.89 and another costs $1.83. What is their exact combined price?
Add cents exactly: 289+183=472 cents = $4.72.
Calculate 3.9 + 1.0.
Combine 39 and 10 tenths to get 49 tenths, or 4.9.
Calculate 1.6 + 1.9.
The tenths combine to 15 tenths, which makes one whole and 5 tenths. Add whole units to get 3.5.
Calculate 3.2 − 1.5.
Rename 3.2 as 2 wholes and 12 tenths. Subtract 1 whole and 5 tenths; result 1.7.
Calculate 6.80 + 3.48.
Add 680+348 exact hundredths = 1028 hundredths = 10.28.
Calculate 7.0 + 0.4. Explain how place value or a model can check your result.
Combine 70 and 4 tenths to get 74 tenths, or 7.4. A correct explanation should name the relevant fractional place values and verify the answer.
Calculate 1.8 + 0.9. Explain how place value or a model can check your result.
The tenths combine to 17 tenths, which makes one whole and 7 tenths. Add whole units to get 2.7. A correct explanation should name the relevant fractional place values and verify the answer.
Calculate 7.3 − 1.7. Explain how place value or a model can check your result.
Rename 7.3 as 6 wholes and 13 tenths. Subtract 1 whole and 7 tenths; result 5.6. A correct explanation should name the relevant fractional place values and verify the answer.
Calculate 6.48 + 2.20. Explain how place value or a model can check your result.
Add 648+220 exact hundredths = 868 hundredths = 8.68. A correct explanation should name the relevant fractional place values and verify the answer.
Calculate 0.10 − 0.05. Explain how place value or a model can check your result.
Rename 0.10 as 10 hundredths; subtract 5 hundredths to get 5 hundredths. A correct explanation should name the relevant fractional place values and verify the answer.
Calculate 7.40 − 2.21. Explain how place value or a model can check your result.
740 hundredths minus 221 hundredths = 519 hundredths = 5.19. A correct explanation should name the relevant fractional place values and verify the answer.
An item costs $6.53 and another costs $2.93. What is their exact combined price? Explain how place value or a model can check your result.
Add cents exactly: 653+293=946 cents = $9.46. A correct explanation should name the relevant fractional place values and verify the answer.
Practice examination solutions
Calculate 5.6 + 3.6. Explain how place value or a model can check your result.
The tenths combine to 12 tenths, which makes one whole and 2 tenths. Add whole units to get 9.2. A correct explanation should name the relevant fractional place values and verify the answer.
Scoring (3 points): 1 point for identifying the relevant property; 1 for a correct solution; 1 for reasoning.
Calculate 2.6 + 0.6.
Combine 26 and 6 tenths to get 32 tenths, or 3.2.
Scoring (2 points): 1 point for a sound method and 1 point for a correct, labeled answer.
Calculate 1.00 − 0.99.
Rename 1.00 as 100 hundredths; subtract 99 hundredths to get 1 hundredths.
Scoring (2 points): 1 point for a sound method and 1 point for a correct, labeled answer.
Calculate 8.36 − 1.53. Explain how place value or a model can check your result.
836 hundredths minus 153 hundredths = 683 hundredths = 6.83. A correct explanation should name the relevant fractional place values and verify the answer.
Scoring (3 points): 1 point for identifying the relevant property; 1 for a correct solution; 1 for reasoning.
Calculate 6.55 + 2.96.
Add 655+296 exact hundredths = 951 hundredths = 9.51.
Scoring (2 points): 1 point for a sound method and 1 point for a correct, labeled answer.
Calculate 1.00 − 0.09.
Rename 1.00 as 100 hundredths; subtract 9 hundredths to get 91 hundredths.
Scoring (2 points): 1 point for a sound method and 1 point for a correct, labeled answer.
Calculate 8.65 + 3.07.
Add 865+307 exact hundredths = 1172 hundredths = 11.72.
Scoring (2 points): 1 point for a sound method and 1 point for a correct, labeled answer.
Calculate 7.8 + 1.1. Explain how place value or a model can check your result.
Combine 78 and 11 tenths to get 89 tenths, or 8.9. A correct explanation should name the relevant fractional place values and verify the answer.
Scoring (3 points): 1 point for identifying the relevant property; 1 for a correct solution; 1 for reasoning.
An item costs $2.33 and another costs $1.69. What is their exact combined price? Explain how place value or a model can check your result.
Add cents exactly: 233+169=402 cents = $4.02. A correct explanation should name the relevant fractional place values and verify the answer.
Scoring (3 points): 1 point for identifying the relevant property; 1 for a correct solution; 1 for reasoning.
Calculate 4.1 − 1.5.
Rename 4.1 as 3 wholes and 11 tenths. Subtract 1 whole and 5 tenths; result 2.6.
Scoring (2 points): 1 point for a sound method and 1 point for a correct, labeled answer.
Calculate 3.68 − 1.71.
368 hundredths minus 171 hundredths = 197 hundredths = 1.97.
Scoring (2 points): 1 point for a sound method and 1 point for a correct, labeled answer.
Calculate 1.6 + 4.5.
The tenths combine to 11 tenths, which makes one whole and 1 tenths. Add whole units to get 6.1.
Scoring (2 points): 1 point for a sound method and 1 point for a correct, labeled answer.
Calculate 4.1 − 1.7.
Rename 4.1 as 3 wholes and 11 tenths. Subtract 1 whole and 7 tenths; result 2.4.
Scoring (2 points): 1 point for a sound method and 1 point for a correct, labeled answer.
Calculate 7.02 + 1.58. Explain how place value or a model can check your result.
Add 702+158 exact hundredths = 860 hundredths = 8.60. A correct explanation should name the relevant fractional place values and verify the answer.
Scoring (3 points): 1 point for identifying the relevant property; 1 for a correct solution; 1 for reasoning.
Calculate 6.2 − 1.5.
Rename 6.2 as 5 wholes and 12 tenths. Subtract 1 whole and 5 tenths; result 4.7.
Scoring (2 points): 1 point for a sound method and 1 point for a correct, labeled answer.
Calculate 4.5 + 0.4.
Combine 45 and 4 tenths to get 49 tenths, or 4.9.
Scoring (2 points): 1 point for a sound method and 1 point for a correct, labeled answer.
Calculate 1.00 − 0.48. Explain how place value or a model can check your result.
Rename 1.00 as 100 hundredths; subtract 48 hundredths to get 52 hundredths. A correct explanation should name the relevant fractional place values and verify the answer.
Scoring (3 points): 1 point for identifying the relevant property; 1 for a correct solution; 1 for reasoning.
Calculate 1.27 + 2.36.
Add 127+236 exact hundredths = 363 hundredths = 3.63.
Scoring (2 points): 1 point for a sound method and 1 point for a correct, labeled answer.
Calculate 9.67 − 2.49.
967 hundredths minus 249 hundredths = 718 hundredths = 7.18.
Scoring (2 points): 1 point for a sound method and 1 point for a correct, labeled answer.
Calculate 1.7 + 1.4.
Combine 17 and 14 tenths to get 31 tenths, or 3.1.
Scoring (2 points): 1 point for a sound method and 1 point for a correct, labeled answer.
Calculate 7.58 + 3.16.
Add 758+316 exact hundredths = 1074 hundredths = 10.74.
Scoring (2 points): 1 point for a sound method and 1 point for a correct, labeled answer.
Calculate 5.53 + 3.16.
Add 553+316 exact hundredths = 869 hundredths = 8.69.
Scoring (2 points): 1 point for a sound method and 1 point for a correct, labeled answer.
Calculate 7.36 − 1.75.
736 hundredths minus 175 hundredths = 561 hundredths = 5.61.
Scoring (2 points): 1 point for a sound method and 1 point for a correct, labeled answer.
Calculate 8.4 − 1.5.
Rename 8.4 as 7 wholes and 14 tenths. Subtract 1 whole and 5 tenths; result 6.9.
Scoring (2 points): 1 point for a sound method and 1 point for a correct, labeled answer.
An item costs $5.36 and another costs $1.67. What is their exact combined price?
Add cents exactly: 536+167=703 cents = $7.03.
Scoring (2 points): 1 point for a sound method and 1 point for a correct, labeled answer.
Calculate 1.00 − 0.31.
Rename 1.00 as 100 hundredths; subtract 31 hundredths to get 69 hundredths.
Scoring (2 points): 1 point for a sound method and 1 point for a correct, labeled answer.
An item costs $5.85 and another costs $3.01. What is their exact combined price?
Add cents exactly: 585+301=886 cents = $8.86.
Scoring (2 points): 1 point for a sound method and 1 point for a correct, labeled answer.
An item costs $2.66 and another costs $1.18. What is their exact combined price?
Add cents exactly: 266+118=384 cents = $3.84.
Scoring (2 points): 1 point for a sound method and 1 point for a correct, labeled answer.
Calculate 5.7 + 3.9.
The tenths combine to 16 tenths, which makes one whole and 6 tenths. Add whole units to get 9.6.
Scoring (2 points): 1 point for a sound method and 1 point for a correct, labeled answer.
Calculate 4.6 + 3.5.
The tenths combine to 11 tenths, which makes one whole and 1 tenths. Add whole units to get 8.1.
Scoring (2 points): 1 point for a sound method and 1 point for a correct, labeled answer.
Calculate 3.7 + 1.7.
The tenths combine to 14 tenths, which makes one whole and 4 tenths. Add whole units to get 5.4.
Scoring (2 points): 1 point for a sound method and 1 point for a correct, labeled answer.
An item costs $5.29 and another costs $2.07. What is their exact combined price?
Add cents exactly: 529+207=736 cents = $7.36.
Scoring (2 points): 1 point for a sound method and 1 point for a correct, labeled answer.
Calculate 9.07 − 1.65.
907 hundredths minus 165 hundredths = 742 hundredths = 7.42.
Scoring (2 points): 1 point for a sound method and 1 point for a correct, labeled answer.
Calculate 1.00 − 0.29.
Rename 1.00 as 100 hundredths; subtract 29 hundredths to get 71 hundredths.
Scoring (2 points): 1 point for a sound method and 1 point for a correct, labeled answer.
An item costs $1.72 and another costs $2.73. What is their exact combined price?
Add cents exactly: 172+273=445 cents = $4.45.
Scoring (2 points): 1 point for a sound method and 1 point for a correct, labeled answer.
Calculate 7.4 + 0.7.
Combine 74 and 7 tenths to get 81 tenths, or 8.1.
Scoring (2 points): 1 point for a sound method and 1 point for a correct, labeled answer.
Calculate 5.3 − 1.8. Explain how place value or a model can check your result.
Rename 5.3 as 4 wholes and 13 tenths. Subtract 1 whole and 8 tenths; result 3.5. A correct explanation should name the relevant fractional place values and verify the answer.
Scoring (3 points): 1 point for identifying the relevant property; 1 for a correct solution; 1 for reasoning.
Calculate 3.6 + 1.4.
Combine 36 and 14 tenths to get 50 tenths, or 5.0.
Scoring (2 points): 1 point for a sound method and 1 point for a correct, labeled answer.
Calculate 1.00 − 0.55.
Rename 1.00 as 100 hundredths; subtract 55 hundredths to get 45 hundredths.
Scoring (2 points): 1 point for a sound method and 1 point for a correct, labeled answer.