 # Conversion of Standard Unit of Length | Units of Measurement of Length | How to do Length Conversions?

Are you familiar with the standard unit of lengths? Then converting one unit of length to other units is very easy. This web page explains how to convert one unit of length to other. You can check examples for a better understanding of how to convert one unit of length to other. You can solve similar problems with the help of this knowledge.

## Units of Measurement of Length

We know the relation between the standard units of length.

 1 meter=100cm1 kilometer=1000m 1.To convert centimeters to meters, the number is divided by 100. 2.  To convert kilometers into meters, the number is multiplied by 1000. There are other units also for measuring length. A very small length of an object is measured in millimeters (mm). In between centimeter and meter, there is a unit of measuring length called decimeter (dm). It is 10 times a centimeter. 1 decimeter = 10 centimeters (1 dm = 10 cm) , 10 decimeters = 1 meter (10 dm = 1 m) Now, 10 mm = 1 cm 10 cm = 1 dm 10 dm = 1 m 1 km = 1000 m = 100000 cm On the basis of these details, we can convert one type into another.

### Converting Units of Length Examples

Example 1:

Convert the 6m  into centimeters?
Solution:
For converting meters into centimeters, the number of meters is multiplied by 100. The result is the product cm.

(6*100)cm

=600cm

Therefore, 6m is converted to 600cm.

Example 2:

Convert the following into centimeters.

(i) 1.15 m (ii) 55m

(i) 1.15 m

Solution:

For converting meters into centimeters, the number of meters is multiplied by 100. The result is the product cm.

(15*100)cm

=1500cm

Therefore, 15m is converted to 1500cm.

(ii) 55m

Solution:

For converting meters into centimeters, the number of meters is multiplied by 100. The result is the product cm.

(55*100)cm

=5500cm

Therefore, 55m is converted to 5500cm.

Example 3:

Convert 4m 15cm to  centimeters

Solution:

First, convert 4m to centimeters and then add 15 cm.

For converting meters to centimeters multiply the number by 100.

=(4*100) cm

=400cm

=15+400

=415cm

Therefore 4m15cm is converted to 415cm.

Example 4:

Convert 12m 4cm into  centimeters

Solution:

First, convert 12m to centimeters and then add 4 cm.

For converting meters to centimeters multiply the number by 100.

=(12*100)cm

=1200cm

=1200+4

=1204cm

Therefore, 12m4cm is converted to 1204cm.

Example 5:

Convert 9m 8cm into centimeters

Solution:

First, convert 9m to centimeters and then add 8 cm.

For converting meters to centimeters multiply the number by 100.

=(9*100)cm

=900cm

=900+8

=908cm

Example 6:

Convert the 125 cm into ‘m’ and ‘cm’.

Solution:

To convert ‘cm’ to ‘m’ and ‘cm’ take two digits from the right are ‘cm’ and the rest have to be written in ‘m’.

i.e. First two digits from the right 25 as cm and the rest 1 has to be written in m.

=1m 25cm

Therefore, 125cm is converted to 1m 25cm.

Example 7:

Convert the 208cm into ‘m’ and ‘cm’.

Solution:

To convert ‘cm’ to ‘m’ and ‘cm’ take two digits from the right are ‘cm’ and the rest have to be written in ‘m’.

i.e. First two digits from the right 08 as ‘cm’ and the rest 2 have to be written in ‘m’.

=2m 8cm

Therefore, 208cm is converted into 2m 8cm.

Example 8:

Convert the 5167cm  into ‘m’ and ‘cm’.

Solution:

To convert ‘cm’ to ‘m’ and ‘cm’ take two digits from the right are ‘cm’ and the rest have to be written in ‘m’.

i.e. First two digits from the right 67 as ‘cm’ and the rest 51 have to be written in ‘m’.

=51m 67cm

Therefore, 5167cm is converted into 51m 67cm.

Example 9:

Convert 6 km into meters

Solution:

6 km

As we know that 1 km = 1000 meters so to convert kilometers into meters, the number of km is multiplied by 1000, or place three zeroes after the number of km and write meter in the place of km.

= (6 × 1000) m

= 6000 m

Therefore, 6 km is converted to 6000m.

Example 10:

Convert 9 km into meters

Solution:

As we know that 1 km = 1000 meters so to convert kilometers into meters, the number of km is multiplied by 1000, or place three zeroes after the number of km and write meter in the place of km.

= (9 × 1000) m

= 9000 m

Therefore 9km is converted into 9000m.

Example 11:

Convert 12 km into meters.

Solution:

As we know that 1 km = 1000 meters so to convert kilometers into meters, the number of km is multiplied by 1000, or place three zeroes after the number of km and write meter in the place of km.

= (12 × 1000) m

= 12000 m

Therefore 12 km is converted into 12000m.

Example 12:

(i) Convert 2 km 173 m into meters?

Solution:

2 km 173 m

First, convert 2 km to m and then add 173 m

To convert km to m multiply the number by 1000.

= (2 × 1000) m + 173 m

= 2000 m + 173 m

= 2173 m

Therefore 2km 173 is converted into 2173 m.

(ii) Convert 18 dm 6 cm into centimeters

Solution:

18 dm 6 cm

First, convert 18 dm to cm and then add 6 cm

To convert dm to cm multiply the number by 10. [Since, 1 dm = 10 cm]

= (18 × 10) cm + 6 cm

= 180 cm + 6 cm

= 186 cm

Therefore, 18dm 6cm is converted into 186cm.

(iii) Convert 44 dm 5 cm into centimeters

Solution:

44 dm 5 cm

First, convert 44 dm to cm and then add 5 cm

To convert dm to cm multiply the number by 10. [Since, 1 dm = 10 cm]

= (44 × 10) cm + 5 cm

= 440 cm + 5 cm

= 445 cm

Therefore, 18dm 6cm is converted into 445cm.

Example 13:

Convert the following:

(i) 1 km 284 m into meters

Solution:

1 km 284 m

First, convert 1 km to m and then add 284 m.

For converting km to m multiply it with 1000.

= (1 × 1000) m + 284 m

= 1000 m + 284 m

= 1284 m

Therefore, 1km284m is converted to 1284m.

(ii) 2009 m into kilometer

Solution:

2009 m

For converting ‘m’ to km divide the number with 1000 = (2009 ÷ 1000) km

= 2 km 009 m   (Since first three digits number is taken for meter and the rest for km)

= 2 km 9 m

Therefore, 2009m is converted into 2 km 9 m.

(iii) 573 cm into decimeters

Solution:

573 cm = (573 ÷ 10) dm

= 57 dm 3 cm   (Since first two digits number are taken for dm and the rest for cm)

(iv) 1 m 8 dm into decimeters

Solution:

We know, 1 meter = 10 decimeters

1 m 8dm

= (1 × 10) dm + 8 dm

= 10 dm + 8 dm

= 18 dm

We will solve more problems as required for the conversion of the standard unit of length as we know the relation between the units of length.

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