New
New
Year 5

Converting units of length

I can use knowledge of multiplication and division to convert units of length.

New
New
Year 5

Converting units of length

I can use knowledge of multiplication and division to convert units of length.

Lesson details

Key learning points

  1. There are 10 mm in 1 cm.
  2. There are 100 cm in 1 m.
  3. There are 1,000 m in 1 km.
  4. There are 1,000 mm in 1 m.
  5. There are 10 dm in 1 m.

Common misconception

Children may confuse when to multiply or when to divide.

Encourage children to think about which unit of measure is larger e.g. km are larger than m. In a given amount, there will be fewer of the larger unit so we need to divide.

Keywords

  • Convert - To convert means to change a value or expression from one form to another. In this context it means to change from one unit of measurement to another such as from cm to mm.

  • Decimetre - A decimetre is a metric unit of length, equal to one-tenth of a metre. Decimetre can be abbreviated to dm.

Give children chance to practice measuring in one unit and converting to the other given units. Children need to be secure in multiplying and dividing by 10 and its powers to avoid overload when converting between measures.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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6 Questions

Q1.
Match the expression to their product.
Correct Answer:4 × 100 = ,400

400

Correct Answer:4 × 10 = ,40

40

Correct Answer:4 × 1 =,4

4

Correct Answer:6 × 10 = ,60

60

Correct Answer:6 × 100 = ,600

600

Correct Answer:6 × 0 =,0

0

Q2.
13.09 x 10 = ?
13.090
13.9
139
Correct answer: 130.9
1309
Q3.
When we multiply 0.72 by 100, what is the new value of the digit 7?
seven hundredths
seven tenths
seven ones
Correct answer: seven tens
seven hundreds
Q4.
Match the expression to the correct product.
Correct Answer:0.31 × 10,3.1

3.1

Correct Answer:0.31 × 1,000,310

310

Correct Answer:5.76 × 10,57.6

57.6

Correct Answer:5.76 × 100,576

576

Correct Answer:0.23 × 10,2.3

2.3

Correct Answer:0.23 × 100,23

23

Q5.
Lucas is thinking of a number. His number is one hundredth times the size of 4 What is his number?
0.004
Correct answer: 0.04
0.4
40
40
Q6.
What is the perimeter of a rectangular field of length 350 m and width 250 m? m.
Correct Answer: 1,200, 1.2 km

6 Questions

Q1.
Match the equivalent lengths
Correct Answer:10.3 cm `,103 mm

103 mm

Correct Answer:13 cm,130 mm

130 mm

Correct Answer:130 cm,1,300 mm

1,300 mm

Correct Answer:130 cm,1.3 m

1.3 m

Correct Answer:1030 cm,10.3 m

10.3 m

Q2.
Match the equivalent lengths.
Correct Answer:250 cm,25 dm

25 dm

Correct Answer:250 cm,2.5 m

2.5 m

Correct Answer:25 m,250 dm

250 dm

Correct Answer:25 m,2,500 cm

2,500 cm

Correct Answer:25 dm,2,500 mm

2,500 mm

Q3.
Which of these is the correct conversion of 9,035 m into km?
9,035 m × 1,000 = 9,035,000 km
9,035 m ÷ 1,000 = 0.935 km
9,035 m ÷ 1,000 = 0.9035 km
9,035 m ÷ 100 = 90.35 km
Correct answer: 9,035 m ÷ 1,000 = 9.035 km
Q4.
True or false? A line measuring 104 mm is longer than a line measuring 11 cm.
True
Correct answer: False
Q5.
Starting with the smallest, put these measurements in order.
1 - 603 cm
2 - 6.1 m
3 - 613 cm
4 - 6.3 m
5 - 631 cm
Q6.
The width of a rectangular lake is 700 m and the length is 0.91 km. What is the perimeter of the lake? Give your answer in kilometres. km
Correct Answer: 3.22, 3,220 m