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Decimal Addition and Subtraction

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Decimal Addition and Subtraction

Work carefully and align decimal points when calculating. Show your working where requested. Use New Zealand dollars for money questions.

Decimal Calculations

Add or subtract each pair of decimal numbers. Show your working.

1.Calculate 16.38 + 9.7.

2.Calculate 8.594 + 6.72.

3.Calculate 27.05 + 18.936.

4.Calculate 32.4 − 7.86.

5.Calculate 60.000 − 14.725.

6.Calculate 21.063 − 8.9.

Estimate, Then Calculate

Round each number to the nearest whole number to estimate. Then find the exact result.

7.Estimate and then calculate 19.62 + 7.31. Give the rounded numbers, the estimated sum, and the exact sum.

8.Estimate and then calculate 42.26 − 16.81. Give the rounded numbers, the estimated difference, and the exact difference.

Decimal Problems in Context

Write a calculation to show how you reached each answer.

9.Wiremu buys a pie for $6.80, a juice for $3.45 and a yoghurt for $2.75. What is the total cost?

10.Wire costs $24.50. Isla pays with a $50 note. How much change should he receive?

11.Three lengths of ribbon measure 7.385 m, 4.6 m and 12.09 m. What is their combined length?

12.A container needs 3.25 L of cleaning solution. Moana has 1.875 L. How many more litres does she need?

Explain and Apply

Choose the most useful method and explain your thinking.

13.Which method is most reliable for adding 5.27 and 13.8 by hand?

Align the decimal points, then add matching place values.
Ignore the decimal points until the final step.
Add the digits in any order without aligning them.
Round both numbers and use the estimate as the exact answer.

14.Explain why aligning decimal points helps when adding or subtracting decimal numbers.

15.Write a short money situation that can be solved using decimal subtraction, then show the subtraction and answer. For example, find the change from $20 after spending $6.45.