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Adding and Subtracting Decimals

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Adding and Subtracting Decimals

Show your working. For calculations, line up the decimal points and use zeroes as placeholders when needed. Round to the nearest whole number when asked to estimate.

Decimal calculations

1.Estimate 6.38 + 2.47 by rounding each number to the nearest whole number, then find the exact sum.

2.Estimate 9.14 − 3.76 by rounding each number to the nearest whole number, then find the exact difference.

3.Calculate 24.638 + 7.957. Show your aligned calculation.

4.Calculate 18.204 − 9.678. Show your aligned calculation.

Decimals in everyday situations

5.At a market, Maia buys a reusable bag for $5.85, fruit for $6.40 and bread for $3.75. What is the total cost?

6.A water tank needs 3.250 litres to be full. It currently contains 1.875 litres. How many more litres are needed?

7.The temperature in a town was 16.4°C in the afternoon. Overnight it fell by 7.9°C. What was the temperature after the fall?

8.A cyclist travelled 4.65 km before lunch, 3.28 km after lunch and another 2.95 km in the evening. How far did the cyclist travel altogether?

Reasoning and checking

9.Ari has $25.00. Ari spends $8.65 on lunch and $3.80 on a bus fare. Estimate the amount left by rounding each amount to the nearest dollar, then calculate the exact amount left.

10.A length of ribbon is 5.600 m. A piece measuring 2.735 m is cut off. What length remains?

11.Explain why the digits in the same place-value columns must be aligned when adding or subtracting decimals. Include what the decimal points help you line up.

12.A learner writes: 6.72 + 14.5 = 20.57. Is the answer correct? If not, calculate the correct total.