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Adding and Subtracting Decimals
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Adding and Subtracting Decimals
Line up decimal points carefully. Show your working for calculations and use the opposite operation to check each answer.
Decimal calculations
Calculate each sum or difference. Give your answer in decimal form.
1.Calculate 3,748.65 + 2,596.80. Then check your answer by subtracting one addend from the total.
2.Calculate 9,003.20 − 4,768.95. Check your result by adding the difference to 4,768.95.
3.Calculate 16,240.07 + 8,519.86.
4.Calculate 20,000.00 − 7,386.48.
5.Calculate 5,607.9 + 846.37. Write the answer with two decimal places.
6.Calculate 13,502.4 − 987.65. Write the answer with two decimal places.
Decimal money problems
Work out each amount in pounds and pence. Include a calculation check where asked.
7.A charity shop receives £2,450.75 in donations on Monday and £1,896.40 on Tuesday. How much was donated altogether?
8.Evie has £8,000. She buys a bicycle for £1,275.85 and a helmet for £68.99. How much money does she have left?
9.A plumber's invoice is £1,386.50. The customer has paid £925.75 so far. How much is still due?
10.A family had £3,200.00 in a travel fund. After paying for accommodation, £1,784.65 remained. How much did the accommodation cost?
Checking and explaining
Use inverse operations to reason about decimal calculations.
11.Which addition checks the answer to 18.60 − 7.85 = 10.75?
- 18.60 + 7.85 = 26.45
- 10.75 + 7.85 = 18.60
- 18.60 − 10.75 = 7.85
- 10.75 − 7.85 = 2.90
12.Match each calculation to the operation that can check its answer. For a subtraction, use the original subtrahend; for an addition, use one of the addends.
- 6.40 + 2.75
- 12.00 − 4.65
- 3.28 + 9.16
- 15.50 − 8.92
- Subtract 9.16 from the total
- Subtract 2.75 from the total
- Add 4.65 to the difference
- Add 8.92 to the difference
13.A pupil says that 7.4 + 2.86 = 7.686 because the digits can be added in each column without aligning the decimal points. Is the answer correct? Give the correct total and explain one important step.
14.Explain how you could use an inverse operation to check 24.50 − 9.78. State the calculation you would do after finding the difference.
15.Put these decimals in order from least to greatest: 3.75, 3.57, 3.705, 3.5.
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