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Decimal Addition and Subtraction
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Decimal Addition and Subtraction
Use partial sums to add and partial differences to subtract. Show how you split each number by place value, and include dollar signs for money answers.
Add Decimals with Partial Sums
1.Find 4.26 + 3.58. Break each number into ones, tenths, and hundredths, then add the partial sums.
2.Add 7.39 and 2.84 by adding the ones, tenths, and hundredths separately. What is the sum?
3.Emily buys a sketchbook for $6.85 and colored pencils for $3.79. Use partial sums to find the total cost.
4.Which breakdown correctly adds 5.47 + 2.68 using partial sums?
- 5 + 2 = 7; 0.4 + 0.6 = 1.0; 0.07 + 0.08 = 0.15; total 8.15
- 5 + 2 = 7; 0.4 + 0.6 = 1.0; 0.07 + 0.08 = 0.15; total 7.15
- 5 + 2 = 7; 0.47 + 0.68 = 1.05; total 7.05
- 5 + 2 = 7; 0.4 + 0.6 = 0.10; 0.07 + 0.08 = 0.15; total 7.25
Subtract Decimals with Partial Differences
5.Calculate 6.72 − 3.48 using partial differences. Show how you handle each place value.
6.Find 9.15 − 4.67. Use partial differences and regroup where needed.
7.Eli had $15.00 to spend at a school book fair. He spent $8.76. How much money remained? Show the subtraction with partial differences.
8.True or false: To find 8.63 − 2.79 with partial differences, you must regroup because 0.03 is less than 0.09.
TrueFalse
Mixed Decimal Practice
9.Choose addition or subtraction, then solve 8.76 + 5.89. Show a partial-sums strategy.
10.Choose addition or subtraction, then solve 18.24 − 9.57. Show a partial-differences strategy.
11.A hiking trail is 12.65 miles long. A group has walked 7.38 miles. How many miles are left? Write an equation and solve.
12.A jug contains 2.45 liters of juice. Another 1.8 liters is poured in. How many liters are in the jug now? Write an equation and solve.
13.Complete the calculation: 3.28 + 1.67 = 3 + 1 + 0.2 + 0.6 + 0.08 + 0.07 = .
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