MathsFreePrintable
Advanced Decimal Shifting
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Advanced Decimal Shifting
Show your working for calculation questions. Remember: multiplying by 10, 100 or 1,000 scales a number up; dividing by these numbers scales it down.
Convert and shift
1.Write 3/8 as a decimal, then multiply your decimal by 10.
2.Write 5/16 as a decimal, then divide your decimal by 100.
3.Which statement correctly describes multiplying 4.26 by 1,000?
- The digits shift three places to the left in the place-value columns, giving 4,260.
- The digits shift three places to the right in the place-value columns, giving 0.00426.
- The decimal point shifts three places left, giving 0.00426.
- The number stays the same because only whole numbers can be multiplied by 1,000.
4.Complete both calculations: 0.047 × 100 = and 0.047 × 1,000 = .
Decimals in context
5.A drink recipe uses 0.125 litres of juice per bottle. How many litres are needed to fill 100 bottles?
6.A 0.25 kg bag of oats costs $1.80. At the same rate, what would 10 kg of oats cost?
7.A walking track is 0.684 kilometres long. Convert this distance to metres and then to centimetres.
8.A roll of ribbon costs $0.64 per metre. What is the cost per centimetre if the price is shared equally across 100 centimetres?
Reason and solve
9.Convert 13/32 to a decimal. Round it to three decimal places, then multiply the rounded value by 1,000.
10.Put 0.58, 0.805, 0.85 and 0.508 in increasing order. Use the number line to help.
11.Match each decimal operation to its result.
- 0.36 × 10
- 0.36 ÷ 100
- 0.072 × 1,000
- 0.72 ÷ 100
- 0.0036
- 3.6
- 0.0072
- 72
12.In your own words, explain why 6.3 × 10 is 63. Refer to place value in your explanation.
3 printable pages
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