In the previous article we just learned about the metric measures of length, mass, and capacity apart from that we also learned about converting bigger units into smaller units. Conversion from one unit into another unit is often used in calculations and it is also used in our daily life. It is also used in the scientific, technical, and medical fields.

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## Smaller Units to Bigger Units Conversion

The conversion of one metric unit to another metric unit is useful in our day-to-day life. In particular, conversion is used in mathematical calculations, and to convert smaller units into bigger units we need to divide the particular unit to which we have to convert them. Before that, we need to know about the conversions and also about the metric units in detail.

### Converting Smaller Units of Length into Bigger Units of Length

To convert smaller units of length into bigger units of length, first, we need to know the different units of length to convert them. To convert them we need to divide them.

**Unit Conversion Table of Length**

1 Kilometre(km) = 10 hectometres (hm) = 1000 m 1 Hectometre(hm) = 10 Decathletes (dcm) = 100 m 1 Demeter (dcm) = 10 Metres (m) 1 Meter (m) = 10 Decimetres (dm) = 100 cm = 1000 mm 1 Decimetre (dm) = 10 Centimetres (cm) 1 Centimetre (cm) = =10 Millimetres (mm) |

**Example 1:**

Convert 40 mm into cm.

**Solution: **We know that 10 mm = 1 cm

Now convert 40 mm into cm, 40 mm = ?

let it be x, Now by dividing we get

Now, x = \(\frac { 40 }{ 10} \) cm

x = 4 cm.

**Example 2:**

Convert 6000 m into km.

**Solution: **We know that 1000 m = 1 km

Now convert 6000 m into km, 6000 m =?

let it be x, Now by dividing we get

Now, x = \(\frac { 6000 }{ 1000} \) km

x = 6 km.

**Example 3:**

Convert 1567 mm into the following.

a)Centimetre

b)Metre

c)Kilometre

**Solution: **

We know that 10 mm = 1 cm, 1000 mm = 1 m, 1000000 m = 1 km

**a) **

Now convert 1567 mm into centimetre

10 mm = 1 cm

1567 mm = x( let it be)

x = \(\frac { 1567 }{ 10} \) cm

x = 156.7 cm

**b)** Now convert 1567 mm into metre

1000 mm = 1 m

1567 mm = x( let it be)

x = \(\frac { 1567 }{ 1000} \) m

x = 1.567 m

**c)** Now convert 1567 mm into kilometre

1000000 m = 1 km

1567 mm = x( let it be)

x = \(\frac { 1567 }{ 1000000} \) km

x = 0.001567 km

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### Converting Smaller Units of Mass into Bigger Units of Mass

To convert smaller units of Mass into bigger units of Mass, first, we need to know the different units of mass to convert them. To convert them we need to divide them.

**Unit Conversion Table of Mass**

1 kilogram(kg) = 10 hectograms 1 hectogram(hg)= 10 decagrams 1 decagram (dag)= 10 grams 1 gram(g) = 10 decigrams 1 decigram (dg)= 10 centigrams 1 centigram (cg)= 10 milligrams |

**Example 1:**

Convert 45000 mg into grams

**Solution: **We know that 1000 mg = 1 g

Now convert 45000 mg into g, 45000 mg = ?

let it be x, Now by dividing we get

Now, x = \(\frac { 45000 }{ 1000} \) g

x = 45 g.

**Example 2:**

Convert 7654 g into kg

**Solution: **We know that 1000 g = 1 kg

Now convert 7654 g into kg, 7654 g = ?

let it be x, Now by dividing we get

Now, x = \(\frac { 7654 }{ 1000} \) kg

x = 7.654 kg

or we can also write this as

7654 g = 7000 g + 654 g

= \(\frac { 7000 }{ 1000} \) kg + 654 g

= 7 kg 654 g

**Example 3:**

Convert 2478 mg into following.

a)decigram

b)gram

c)Kilogram

**Solution: **We know that 100 mg = 1 dg, 1000 mg = 1 g, 1000000 mg = 1 kg

**a) **Now convert 2478 mg into decigram

100 mg = 1 dg

2478 mg = x( let it be)

x = \(\frac { 2478 }{ 100} \) dg

x = 24.78 dg

**b)** Now convert 2478 mg into gram

1000 mg = 1 g

2478 mg = x( let it be)

x = \(\frac { 2478 }{ 1000} \) g

x = 2.478 g

**c)** Now convert 2478 mg into kilogram

1000000 mg = 1 kg

2478 mg = x( let it be)

x = \(\frac { 2478 }{ 1000000} \) kg

x = 0.002478 kg

### Converting Smaller Units of Capacity into Bigger Units of Capacity

To convert smaller units of capacity into bigger units of capacity, first, we need to know the different units of capacity to convert them. To convert them we need to divide them.

**Unit Conversion Table of Capacity**

1 kiloliter (kl) = 10 Hectoliters (hl) 1 Hectoliter (hl)= 10 Decaliters (dal) 1 Decaliter (dal)= 10 Liters (l) 1 Liter (l)= 10 Deciliters (dl) 1 Decilitre (dl)= 10 Centilitres (cl) 1 Centilitre= 10 Millilitres |

**Example 1:**

Convert 67000 ml into L.

**Solution: **We know that 1000 ml = 1 L

Now convert 67000 ml into L, 67000 ml = ?

let it be x, Now by dividing we get

Now, x = \(\frac { 67000 }{ 1000} \) L

x = 67 L.

**Example 2:**

Convert 45321 L into kl.

**Solution: **We know that 1000 L = 1 kl

Now convert 45321 L into kl, 45321 L = ?

let it be x, Now by dividing we get

Now, x = \(\frac { 45321 }{ 1000} \) kl

x = 45.321 KL.

or we can also written as

45321 L = 45000 L + 321 L

= \(\frac { 45000 }{ 1000} \) kl + 321 L

= 45 kl 321 L

**Example 3:**

Convert 79890 ml into following.

a)decilitre

b)litre

c)Kilolitre

**Solution:**

We know that 100 ml = 1 dl, 1000 ml = 1 L, 1000000 ml = 1 kl

**a) **Now convert 79890 ml into decilitre

100 ml = 1 dl

79890 ml = x( let it be)

x = \(\frac { 79890}{ 100} \) dl

x = 798.9 dl

**b) **Now convert 79890 ml into litre

1000 ml = 1 L

79890 ml = x( let it be)

x = \(\frac { 79890}{ 1000} \) L

x = 79.89 L

**c)** ** **Now convert 79890 ml into kilolitre

1000000 ml = 1 kL

79890 ml = x( let it be)

x = \(\frac { 79890}{ 1000000} \) kl

x = 0.07989 kl.

**Note:** Now we will see an example which consists of different type of conversions, so that you will get to know in detail and understand the concept.

**Example**:

Convert the following

a) 5678 mm into m

b)546387 mg into dg

c)5643 ml into cl

**Solution:
a) **Now we know that

1000 mm = 1 m

5678 mm = x ( let it be)

x = \(\frac { 5678}{ 1000} \) m

=5.678 m

or we can written as

5678 mm = 5000 mm + 678 mm

= \(\frac { 5000}{ 1000} \) m + 678 mm

= 5 m 678 mm

**b)**Now we know that 100 mg = 1dg

546387 mg = x( let it be)

x = \(\frac { 546387}{ 100} \) dg

= 5463.87 dg

**c)**Now we know that 10 ml = 1 cl

5643 ml = x(let it be)

x = \(\frac { 5643}{ 10} \)cl

= 564.3 cl