OPERATIONS OF METRIC UNITS

Problem 1 :

Convert all lengths to meters and then add:

3 km + 110 m + 32 cm

Solution:

3 km:

Here, we convert bigger unit into smaller unit. So we have to multiply.

3 km = 3 × 1000 m

= 3000 m

32 cm:

Here, we convert smaller unit into bigger unit. So we have to divide.

32 cm = 32/100

= 0.32 m

Adding all together, we get

= 3000 m + 110 m + 0.32 m

= 3110.32 m

Problem 2 :

72 km + 43 m + 47 cm + 16 mm

Solution:

72 km:

Here, we convert bigger unit into smaller unit. So we have to multiply.

72 km = 72 × 1000 m

= 72000 m

47 cm:

Here, we convert smaller unit into bigger unit. So we have to divide.

47 cm = 47/100

= 0.47 m

16 mm:

Here, we convert smaller unit into bigger unit. So we have to divide.

16 mm = 16/1000

= 0.016 m

Adding all together, 

= 72000 m + 43 m + 0.47 m + 0.016 m

= 72043.486 m

Problem 3 :

153 m + 217 cm + 48 mm

Solution:

217 cm:

Here, we convert smaller unit into bigger unit. So we have to divide.

217 cm = 217/100

= 2.17 m

48 mm:

Here, we convert smaller unit into bigger unit. So we have to divide.

48 mm = 48/1000

= 0.048 m

Adding altogether, we get

= 153 m + 2.17 m + 0.048 m

= 155.218 m

d. 15 km + 348 m + 63 cm + 97 mm

Solution:

15 km:

Here, we convert bigger unit into smaller unit. So we have to multiply.

15 km = 15 × 1000 m

= 15000 m

63 cm:

Here, we convert smaller unit into bigger unit. So we have to divide.

63 cm = 63/100

= 0.63 m

97 mm:

Here, we convert smaller unit into bigger unit. So we have to divide.

97 mm = 97/1000

= 0.097 m

Adding altogether, we get

= 15000 m + 348 m + 0.63 m + 0.097 m

= 15348.727 m

Problem 5 :

23 m + 47 cm + 338 mm

Solution:

47 cm:

Here, we convert smaller unit into bigger unit. So we have to divide.

47 cm = 47/100

= 0.47 m

338 mm:

Here, we convert smaller unit into bigger unit. So we have to divide.

338 mm = 338/1000

= 0.338 m

Adding altogether, we get

= 23 m + 0.47 m + 0.338 m

= 23.808 m

Problem 6 :

23 km + 76 m + 318 cm + 726 mm

Solution:

23 km:

Here, we convert bigger unit into smaller unit. So we have to multiply.

23 km = 23 × 1000 m

= 23000 m

318 cm:

Here, we convert smaller unit into bigger unit. So we have to divide.

318 cm = 318/100

= 3.18 m

726 mm:

Here, we convert smaller unit into bigger unit. So we have to divide.

726 mm = 726/1000

= 0.726 m

= 23000 m + 76 m + 3.18 m + 0.726 m

= 23079.906 m

Arrange the metric measurements in order

Write the following in the same units and hence write them in ascending order.

Problem 7 :

37 mm, 4 cm

Solution:

4 cm:

Here, we convert bigger unit into smaller unit. So we have to multiply.

4 cm = 4 × 10 mm

= 40 mm

Ascending order: 

37 mm < 40 mm

37 mm < 4 cm

Problem 8 :

750 cm, 8 m , 7800 mm

Solution:

750 cm:

Here, we convert bigger unit into smaller unit. So we have to multiply.

750 cm = 750 × 10 mm

= 7500 mm

8 m:

Here, we convert bigger unit into smaller unit. So we have to multiply.

8 m = 8 × 1000 mm

= 8000 mm

Ascending order:

7500 mm < 7800 mm < 8000 mm

750 cm < 7800 mm < 8 m

Problem 9 :

1250 m, 1.3 km

Solution:

1.3 km:

Here, we convert bigger unit into smaller unit. So we have to multiply.

1.3 km = 1.3 × 1000 m

= 1300 m

Ascending order:

1250 m < 1300 m

1250 m < 1.3 km

Problem 10 :

0.005 km, 485 cm, 5.2 m

Solution:

0.005 km:

0.005 km = 0.005 × 1000 m

= 5 m

485 cm:

485 cm = 485/100

= 4.85 m

Ascending order:

4.85 m < 5 m < 5.2 m

485 cm < 0.005 km < 5.2 m

Problem 11 :

3500 mm, 347 cm, 3.6 m

Solution:

3500 mm:

3500 mm = 3500/1000

= 3.5 m

347 cm:

347 cm = 347/100

= 3.47 m

Ascending order:

3.47 m < 3.5 m < 3.6 m

347 cm < 3500 mm < 3.6 m

Problem 12 :

0.134 km, 128 m, 13000 cm

Solution:

0.134 km:

0.134 km = 0.134 × 1000 m

= 134 m

13000 cm:

13000 cm = 13000/100

= 130 m

Ascending order:

128 m < 130 m < 134 m

128 m < 13000 m < 0.134 km

Problem 13 :

4.82 m, 512 cm, 4900 mm

Solution:

512 cm:

512 cm = 512/100

= 5.12 m

4900 mm:

4900 mm = 4900/1000

= 4.9 m

Ascending order:

4.82 m < 4.9 m < 5.12 m

4.82 m < 4900 mm < 512 cm

Problem 14 :

7.2 m, 7150 cm, 71800 mm

Solution:

7150 cm:

7150 cm = 7150/100

= 71.5 m

71800 mm:

71800 mm = 71800/1000

= 71.8 m

Ascending order:

7.2 m < 71.5 m < 71.8 m 

7.2 m < 7150 cm < 71800 mm