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Multiplying and Dividing Decimals by 10, 100, 1000

Quiz · Maths · Stage 3 · Year 5
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Work through the levels in order. Type your answer and press Check — open the worked solution if you get stuck. Answers like -6, 3/4 or 0.25 are typed exactly as shown. A ⭐ Bonus Challenge at the end is extra credit — skip it if the rest was hard work.

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Level 1 · Warm-up

1 What is 4.6 × 10?ones4tenths6hundredthsthousandths× 10
Show worked solution
4 ones → 4 tens, 6 tenths → 6 ones: 46.
2 Work out 2.5 × 100 and 2.5 × 1000.ones2tenths5hundredthsthousandths
Show worked solution
2.5 × 100 = 250; 2.5 × 1000 = 2 500.
3 What is 83 ÷ 10?
Show worked solution
8 tens → 8 ones, 3 ones → 3 tenths: 8.3.

Level 2 · Core

4 What is 0.08 × 1000?ones0tenths0hundredths8thousandths× 1000
Show worked solution
The 8 moves from the hundredths to the tens, with a 0 in the ones: 80.
5 Convert 4.5 m to centimetres and to millimetres.4.5 m× 100? cm× 10? mm
Show worked solution
4.5 × 100 = 450 cm; 450 × 10 = 4 500 mm.
6 How many metres is 1 500 cm?
Show worked solution
1 500 ÷ 100 = 15 m.

Level 3 · Challenge

7 Kim divided 342 by a number and got 34.2.342÷ ?34.21  Kim divided by 10.
2  342 ÷ 100 = 3.42.
3  34.2 × 100 = 342.
Which statements are correct?
Show worked solution
One column → ÷ 10 (1 ✓). Two columns → 3.42 (2 ✓). 34.2 × 100 = 3 420, not 342 (3 ✗). 1 and 2.
8 Work out 3.6 ÷ 100 and 0.036 × 1000.ones3tenths6hundredthsthousandths
Show worked solution
3.6 ÷ 100 = 0.036. 0.036 × 1000 = 36.
9 A number multiplied by 100 gives 4 070. What is the number?
Show worked solution
4 070 ÷ 100 = 40.7.