Chapter 8.4 (Mathematics 5)

Subtraction of metres and kilometres

Subtraction of metres and kilometres without conversion

Group Activity 6

In pairs, find the length of the road that is not tarmacked.

The length of a road is 9 km 350 m. A section of the road, 4 km 160 m is tarmacked.

km m 9 350 4 160

  1. To get the section not tarmacked, set the subtraction of 9 km 350 m from 4 km 160 m vertically.
  2. First subtract the metres and write the results under the metres column.
  3. Subtract the kilometres and write the results under the km column.
  4. Discuss the results and share with other groups.

Example 5

The length of a road is 12 km 475 m. A section of the road 4 km 315 m long was tarmacked. What length of the road was not tarmacked?

km m Length of the road 12 475 Length of the road tarmacked 4 315 Length of the road not tarmacked 8 160

Length of the untarmacked road is 8 km 160 m.

Exercise G

G1

In pairs, work out:

G2

Work out:

  1. 5 km 800 m from 10 km 950 m
    The result is  km  m.
  2. 12 km 350 m from 25 km 485 m
    The result is  km  m.

82 km 700 m  50 km 475 m =  km  m

 km  m   km  m =  km  m

Subtraction of metres and kilometres with conversion

Group Activity 7

Mwandime covered 12 km 400 m in his journey. He covered 8 km 900 m by cycling and walked the rest of the journey.

In groups of three, work out the distance that he walked.

km m 12 400 8 900

  1. Write the subtraction question vertically.
  2. First subtract the metres, that is, 900 m from 400 m. What do you notice? Remember 1000 m is 1 km.
  3. Regroup the metres and subtract.
  4. Subtract 8 km from the remaining 11 km.
  5. Discuss the results and share with other groups.

Example 6

Subtract 2 km 930 m
from 5 km 850 m.

km m 5 850 2 930 2 920

  1. 850 – 930 is not possible.
  2. Regroup 1 km from the 5 km to 1000 m.
  3. Add 850 m to 1 000 m to get 1 850.
  4. 1 850 m – 930 m = 920 m. Write 920 m under the metres column.
  5. 4 km – 2 km = 2 km. Record 2 in the kilometres column.

Exercise H

H1

In pairs, work out:

H2

Work out:

  1. 25 km 620 m from 48 km 310 m
    The result is  km  m.
  2. 92 km 605 m from 125 km 115 m
    The result is  km  m.

42 km  40 km 500 m =  km  m

24 km 200 m  6 km 850 m =  km  m

15 km 490 m  4 km 720 m =  km  m

The railway