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101 centimetres is the same as 1.01 metres.
Decimal Numbers 2 (Difficult)
Explore how decimals reveal the hidden maths of our solar system. Discover how tiny numbers explain vast distances and planetary orbits.
1 .
What is 21.63 kilometres in centimetres?
2,163 cm
21,630 cm
2,163,000 cm
216,300 cm
2 .
How many kilograms are there in 2.3 tonnes?
2,300,000
23,000
230
2,300
There are 1,000 kg in 1 tonne, so in 2.3 tonnes there are 1,000 × 2.3 = 2,300 kg
3 .
What is 14,253 centimetres in metres?
1,425.3 m
1.4253 m
14.253 m
142.53 m
There are 100 cm in 1 m, so in 14,253 cm there are 14,253 ÷ 100 = 142.53 m
4 .
How many square centimetres are there in 15.3 square metres?
1,530 cm²
15,300 cm²
153,000 cm²
1,530,000 cm²
Be careful of squares! There are 100 cm in 1 m, so in 1 sq m there are 100 × 100 = 10,000 sq cm. In 15.3 sq m there are 15.3 × 10,000 = 153,000 sq cm
5 .
How many kilograms are there in 7,531.09 grams?
0.753109 kg
7.53109 kg
75.3109 kg
753.109 kg
There are 1,000 g in 1 kg, so in 7,531.09 g there are 7,531.09 ÷ 1,000 = 7.53109 kg
6 .
What was 987.654 divided by if the answer is 0.987654?
1,000
100
10,000
10
The rule for dividing by a whole number beginning with 1 and followed by one or more zeros, e.g. dividing by 10, 100, 1,000, ... is as follows: When dividing by such a number, move the digits to the right by the same number of zeros as in the number: 987.654 ÷ 1,000 = 0.987654: the digits have moved three places to the right = the number of zeros in one thousand
7 .
What was 9.87654 multiplied by if the answer is 987.654?
100
10
1,000
10,000
The rule for multiplying by a whole number beginning with 1 and followed by one or more zeros, e.g. multiplying by 10, 100, 1,000, ... is as follows: When multiplying by such a number, move the digits to the left by the same number of zeros as in the number: 100 × 9.87654 = 987.654: the digits have moved two places to the left = the number of zeros in one hundred
8 .
What does 0.00025 have to be multiplied by to give 2.5?
1,000
10,000
100,000
100
For 0.00025 to become 2.5, the digits will have to move 4 places to the left. You will have to multiply 0.00025 by 10,000 - which has 4 zeros
9 .
The marathon is a race over a distance of 42.195 kilometres. How many metres is that?
4,219,500 m
421,950 m
42,195 m
4,219.5 m
There are 1000 m in 1 km, so in 42.195 km there are 227.65 × 1,000 = 42,195 m
10 .
A gold bar weighs 12,442.61 grams. How many kilograms does a gold bar weigh?
1.244261 kg
1,244.261 kg
124.4261 kg
12.44261 kg
There are 1,000 g in 1 kg, so in 12,442.61 g there are 12,442.61 ÷ 1,000 = 12.44261 kg
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Next, convert m to cm by multiplying by 100. So, 21,630 x 100 = 2,163,000