Step-by-step Maths Level 5: Converting length: km, m, cm and mm
Part of the Step-by-step Maths Level 5 metric length, mass and capacity chapter. Chapter overview · whole chapter on one page
Converting length: km, m, cm and mm
1 km = 1,000 m, 1 m = 100 cm, and 1 cm = 10 mm. Going to a smaller unit makes the number bigger, so multiply.
To change a number of centimetres into metres and centimetres, divide by 100. 340 cm = 3 m 40 cm.
Key ideas
- 1 km = 1,000 m; 1 m = 100 cm; 1 cm = 10 mm.
- Smaller unit: multiply. Bigger unit: divide.
- Write both parts with their units.
Method. Multiply by 1,000 to change kilometres into metres.
- Use the rule. 1 kilometre is 1,000 metres.1 km = 1,000 m
- Multiply the kilometres by 1,000. Each kilometre is 1,000 metres.3 × 1,000 = 3,000
- Write the answer with the unit. The unit is metres.3,000 m
Check. Check: 3,000 ÷ 1,000 = 3.
Watch out. Going to a smaller unit makes the number bigger. Multiply.
Method. Multiply by 100 to change m into cm.
- Use the rule. 1 m is 100 cm.1 m = 100 cm
- Multiply the m by 100. Each m has 100 cm.4 × 100 = 400
- Write the answer with the unit. The unit is cm.400 cm
Check. Check: 400 ÷ 100 = 4.
Watch out. A smaller unit gives a bigger number. Multiply by 100.
Method. Divide by 100 to find the whole m; the remainder is the cm.
- Use the rule. 1 m is 100 cm.1 m = 100 cm
- Share 340 cm into groups of 100. Each group is one m.340 ÷ 100 = 3 r 40
- Write the answer. 3 whole m and the cm left over.3 m 40 cm
Check. Check: 3 × 100 + 40 = 340.
Watch out. Use a space between the two parts, and the unit after each: 3 m 40 cm.
Watch out
Watch out. 1 m is 100 cm, not 10 cm. Check the number of zeros for each unit.
Exam tip
Grown-up tip. Use a metre stick or a ruler. Ask: “How many centimetres in one metre? How many millimetres in one centimetre?”
Exercise 8A Practice: converting length
Non-calculatorMethod. Divide by 100 to find the whole m; the remainder is the cm.
- Use the rule. 1 m is 100 cm.1 m = 100 cm
- Share 1,888 cm into groups of 100. Each group is one m.1,888 ÷ 100 = 18 r 88
- Write the answer. 18 whole m and the cm left over.18 m 88 cm
Check. Check: 18 × 100 + 88 = 1,888.
Watch out. Use a space between the two parts, and the unit after each: 18 m 88 cm.
Method. Divide by 10 to find the whole cm; the remainder is the mm.
- Use the rule. 1 cm is 10 mm.1 cm = 10 mm
- Share 32 mm into groups of 10. Each group is one cm.32 ÷ 10 = 3 r 2
- Write the answer. 3 whole cm and the mm left over.3 cm 2 mm
Check. Check: 3 × 10 + 2 = 32.
Watch out. Use a space between the two parts, and the unit after each: 3 cm 2 mm.
Method. Divide by 100 to find the whole m; the remainder is the cm.
- Use the rule. 1 m is 100 cm.1 m = 100 cm
- Share 1,253 cm into groups of 100. Each group is one m.1,253 ÷ 100 = 12 r 53
- Write the answer. 12 whole m and the cm left over.12 m 53 cm
Check. Check: 12 × 100 + 53 = 1,253.
Watch out. Use a space between the two parts, and the unit after each: 12 m 53 cm.
Method. Multiply by 1,000 to change kilometres into metres.
- Use the rule. 1 kilometre is 1,000 metres.1 km = 1,000 m
- Multiply the kilometres by 1,000. Each kilometre is 1,000 metres.14 × 1,000 = 14,000
- Write the answer with the unit. The unit is metres.14,000 m
Check. Check: 14,000 ÷ 1,000 = 14.
Watch out. Going to a smaller unit makes the number bigger. Multiply.
Method. Multiply by 1,000 to change kilometres into metres.
- Use the rule. 1 kilometre is 1,000 metres.1 km = 1,000 m
- Multiply the kilometres by 1,000. Each kilometre is 1,000 metres.2 × 1,000 = 2,000
- Write the answer with the unit. The unit is metres.2,000 m
Check. Check: 2,000 ÷ 1,000 = 2.
Watch out. Going to a smaller unit makes the number bigger. Multiply.
Method. Multiply by 100 to change m into cm.
- Use the rule. 1 m is 100 cm.1 m = 100 cm
- Multiply the m by 100. Each m has 100 cm.8 × 100 = 800
- Write the answer with the unit. The unit is cm.800 cm
Check. Check: 800 ÷ 100 = 8.
Watch out. A smaller unit gives a bigger number. Multiply by 100.
Method. Multiply by 100 to change m into cm.
- Use the rule. 1 m is 100 cm.1 m = 100 cm
- Multiply the m by 100. Each m has 100 cm.9 × 100 = 900
- Write the answer with the unit. The unit is cm.900 cm
Check. Check: 900 ÷ 100 = 9.
Watch out. A smaller unit gives a bigger number. Multiply by 100.
Method. Divide by 100 to find the whole m; the remainder is the cm.
- Use the rule. 1 m is 100 cm.1 m = 100 cm
- Share 981 cm into groups of 100. Each group is one m.981 ÷ 100 = 9 r 81
- Write the answer. 9 whole m and the cm left over.9 m 81 cm
Check. Check: 9 × 100 + 81 = 981.
Watch out. Use a space between the two parts, and the unit after each: 9 m 81 cm.
Method. Multiply by 10 to change cm into mm.
- Use the rule. 1 cm is 10 mm.1 cm = 10 mm
- Multiply the cm by 10. Each cm has 10 mm.5 × 10 = 50
- Write the answer with the unit. The unit is mm.50 mm
Check. Check: 50 ÷ 10 = 5.
Watch out. A smaller unit gives a bigger number. Multiply by 10.
Method. Multiply by 10 to change cm into mm.
- Use the rule. 1 cm is 10 mm.1 cm = 10 mm
- Multiply the cm by 10. Each cm has 10 mm.4 × 10 = 40
- Write the answer with the unit. The unit is mm.40 mm
Check. Check: 40 ÷ 10 = 4.
Watch out. A smaller unit gives a bigger number. Multiply by 10.
Method. Divide by 100 to find the whole m; the remainder is the cm.
- Use the rule. 1 m is 100 cm.1 m = 100 cm
- Share 1,127 cm into groups of 100. Each group is one m.1,127 ÷ 100 = 11 r 27
- Write the answer. 11 whole m and the cm left over.11 m 27 cm
Check. Check: 11 × 100 + 27 = 1,127.
Watch out. Use a space between the two parts, and the unit after each: 11 m 27 cm.
Method. Multiply by 10 to change cm into mm.
- Use the rule. 1 cm is 10 mm.1 cm = 10 mm
- Multiply the cm by 10. Each cm has 10 mm.8 × 10 = 80
- Write the answer with the unit. The unit is mm.80 mm
Check. Check: 80 ÷ 10 = 8.
Watch out. A smaller unit gives a bigger number. Multiply by 10.
Method. Divide by 100 to find the whole m; the remainder is the cm.
- Use the rule. 1 m is 100 cm.1 m = 100 cm
- Share 1,086 cm into groups of 100. Each group is one m.1,086 ÷ 100 = 10 r 86
- Write the answer. 10 whole m and the cm left over.10 m 86 cm
Check. Check: 10 × 100 + 86 = 1,086.
Watch out. Use a space between the two parts, and the unit after each: 10 m 86 cm.
Method. Divide by 10 to find the whole cm; the remainder is the mm.
- Use the rule. 1 cm is 10 mm.1 cm = 10 mm
- Share 111 mm into groups of 10. Each group is one cm.111 ÷ 10 = 11 r 1
- Write the answer. 11 whole cm and the mm left over.11 cm 1 mm
Check. Check: 11 × 10 + 1 = 111.
Watch out. Use a space between the two parts, and the unit after each: 11 cm 1 mm.
Method. Multiply by 100 to change m into cm.
- Use the rule. 1 m is 100 cm.1 m = 100 cm
- Multiply the m by 100. Each m has 100 cm.17 × 100 = 1,700
- Write the answer with the unit. The unit is cm.1,700 cm
Check. Check: 1,700 ÷ 100 = 17.
Watch out. A smaller unit gives a bigger number. Multiply by 100.
Method. Multiply by 1,000 to change kilometres into metres.
- Use the rule. 1 kilometre is 1,000 metres.1 km = 1,000 m
- Multiply the kilometres by 1,000. Each kilometre is 1,000 metres.3 × 1,000 = 3,000
- Write the answer with the unit. The unit is metres.3,000 m
Check. Check: 3,000 ÷ 1,000 = 3.
Watch out. Going to a smaller unit makes the number bigger. Multiply.