Decimals · Usually met around P4
Decimals in money and measures
1 L = 1000 mL, $1 = ten 10¢.
How to do it
Method
1 L = 1000 mL, $1 = ten 10¢
1.234 L = 1234 mL; $23 and 50¢ = $23.5
Another way
Place-value table
1.234 L = 1000 + 200 + 30 + 4 mL
In full
Money and measures are often written as decimals. $1 = 10 ten-cent coins, so 10¢ = $0.1 and $23 and 5 ten-cents is $23.5. 1 L = 1000 mL, 1 kg = 1000 g and 1 km = 1000 m, so 1 mL = 0.001 L: 1.234 L = 1234 mL, and 2 kg 50 g = 2.050 kg = 2.05 kg. 1 m = 100 cm: 1.35 m = 135 cm. Big unit to small, multiply by 1000 (or 100); small to big, divide by 1000 (or 100). Or use a place-value table: in 1.234 L the 1 is 1 L, and 2, 3, 4 are 200, 30 and 4 mL, 1234 mL in all.
Worked examples
Have a go first, then open each one for the answer and the working.
Example 1
2.045 L = □ mL
Show the answer and working
Answer: 2045
1 L = 1000 mL, so 2.045 × 1000 = 2045.
Example 2
3.15 m = □ cm
Show the answer and working
Answer: 315
1 m = 100 cm, so 3.15 × 100 = 315.
Example 3
Which is 6 kg 14 g written in kilograms?
- A. 7.4 kg
- B. 6.14 kg
- C. 6.014 kg
- D. 6014 kg
Choose the right answer
Show the answer and working
Answer: C. 6.014 kg
14 g = 141000 kg, so it is 6.014 kg.
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