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Decimals Operations and Applications
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Decimals Operations and Applications
Show your working for calculations. Use a decimal point in every decimal answer.
Decimal place value and ordering
1.Write three and six tenths as a decimal.
2.Write eight and thirty-seven hundredths as a decimal.
3.Write five and two hundred six thousandths as a decimal.
4.Which is the greatest number: 0.68, 0.608 or 0.806?
- 0.68
- 0.608
- 0.806
5.Select all numbers tied for greatest: 4.07, 4.7 or 4.70.
- 4.07
- 4.7
- 4.70
6.Put 2.306, 2.36, 2.063 and 2.3 in order from smallest to largest.
Calculating with decimals
7.Calculate 16.38 + 5.7. Show your working.
8.Calculate 0.472 + 3.86. Show your working.
9.Calculate 21.4 − 8.76. Show your working.
10.Calculate 10.05 − 4.738. Show your working.
11.Calculate 6.37 × 10.
12.Calculate 0.462 × 100.
13.Calculate 3.08 × 1,000.
14.Calculate 82.5 ÷ 10.
15.Calculate 729.4 ÷ 100.
Decimals, fractions and percentages
16.Match each decimal to its equivalent fraction and percentage.
- 0.2
- 0.5
- 0.8
- 0.4
- 1/2 = 50%
- 1/5 = 20%
- 4/5 = 80%
- 2/5 = 40%
17.Write 0.45 as a fraction in its simplest form.
18.Write 0.72 as a percentage.
19.Write 7/20 as a decimal.
20.Write 68% as a decimal.
Decimal applications
21.Talia buys a notebook for $3.85, a pen for $2.40 and a folder for $5.65. What is the total cost?
22.Talia pays for the $11.90 purchase with a $20 note. How much change should she receive?
23.Four cyclists complete a course in these times: Maia, 14.08 minutes; Tui, 14.8 minutes; Ria, 14.35 minutes; and Mei, 14.305 minutes. List them from fastest to slowest.
24.A batch of muffins needs 1.8 kg of flour. How much flour is needed to make half a batch?
25.The daily high temperatures over five days were 16.4°C, 18.2°C, 17.5°C, 19.1°C and 18.8°C. Find the mean temperature, rounded to one decimal place.
Estimation and reasoning
26.Round each number to the nearest whole number to estimate 9.6 + 11.2, then calculate the exact sum.
27.Round each number to the nearest whole number to estimate 17.3 − 5.7, then calculate the exact difference.
28.Round 5.2 to the nearest whole number to estimate 5.2 × 4, then calculate the exact product.
29.Select every true statement.
- 0.4 is greater than 0.04
- 3.50 is equal to 3.5
- 0.6 is equal to 3/5
- 2.4 × 10 = 24
- 0.2 + 0.2 + 0.2 = 0.8
30.A walking loop is 1.6 km long. If Hana walks 2.75 laps, what distance does she cover?
5 printable pages
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