To convert a smaller unit into a larger unit, we move the decimal point to the left. In other words, we can say that we share.

This is very important for us to learn how to convert smaller units into larger units. We often use it in our daily life.

Convert smaller units of length to larger units of length:

For example:

1. Convert 80 mm to cm.

Solution:

We know that 10 mm = 1 cm

80 mm = ( frac {80} {10} ) cm

= 8 cm


2. Convert 485 mm to cm.

Solution:

485 mm = 480 mm + 5 mm

We know that 10 mm = 1 cm

480 mm + 5 mm = ( frac {480} {10} ) cm + 5 mm

= 48 cm 5 mm

3. Convert 15000 m to km.

Solution:

We know that 1000 m = 1 km

15000 m = ( frac {15000} {1000} ) km

= 15 km

Conversion of smaller mass units into larger mass units:

To convert lower mass units to higher units, multiply by 1000. A quick way to convert is to write three digits from the right as the lower unit and the rest as the higher unit.

For example:

1. Convert 14000 mg to g.

We know that 1000 mg = 1 g

So 14000 mg = ( frac {14000} {1000} ) g

= 14 g

2. Express 3180 g to kg.

3180 g = 3000 g + 180 g

= ( frac {3000} {1000} ) kg + 180 g

= 3 kg 180 g

To convert the capacity of smaller units to capacity of larger units:

To convert milliliters to liters, we divide the number of milliliters (ml) by 1000. A quick way to convert ml to l is to write three digits from the right as ml and the rest as l.

For example:

Convert 76489 ml to L.

76489 ml = 76000 ml + 489 ml

= ( frac {76000} {1000} ) + + 489 ml

= 76 l 489 ml

Solved examples for converting smaller units into larger units:

1. Convert 9362.8 grams to the following units.

(i) decagrams

(ii) hectograms

(iii) kilograms

Solution:

Because 1 day = 10 g

So, 1 g = ( frac {1} {10} ) dag

So, 9362.8 g = ( frac {9362.8} {10} ) = (9362.8 ÷ 10) dag = 936.28 dag

So,

(i) 9362.8 g = = (9362.8 ÷ 10) dag = 936.28 dag

(ii) 9362.8 g = = (9362.8 ÷ 100) hg = 93.628 hg, (Because 1 g = ( frac {1} {100} ) hg)

(ii) 9362.8 g = = (9362.8 ÷ 1000) kg = 9.3628 kg, (Because 1 g = ( frac {1} {1000} ) kg)

2. Convert 2345 millimeters to the following units.

(i) centimeters

(ii) meters

(iii) kilometers

Solution:

(i) 2345 millimeters = (2345 ÷ 10) = 234.5 centimeters,
[Because 1 mm = (frac{1}{10}) cm]

(ii) 2345 millimeters = (2345 ÷ 1000) = 2.345 meters,
[Because 1 mm = (frac{1}{1000}) m]

(iii) 2345 millimeters = (2345 ÷ 1000000) = 0.002345 kilometers, [Because 1 mm = (frac{1}{1000000}) km]

Let’s look at another example with different types of conversions.

3. Convert the following:

(i) 3598 mm to m

(ii) 4683254 mg in dg

(iii) 5923 ml to cl

Solution:

(i) 3598 mm

= (3598 ÷ 1000) m, [Because 1 mm = (frac{1}{1000}) m]

= 3.598 m

(ii) 4683254 mg

= (4683254 ÷ 100) dg, [Because 1 mg = (frac{1}{100}) dg]

= 46832.54 dg

(iii) 5923 ml

= (5923 ÷ 10) cl, [Because 1 ml = (frac{1}{10}) cl]

= 592.3 cl

4th Convert 12500 m to km.

Solution:

We know that 1000 m = 1 km

12500 m = 12000 m + 500 m

= ( frac {12000} {1000} ) km + 500 m

= 12 km 500 m²

Smaller units to larger units

Questions and answers about smaller units about larger units:

I. Convert the given lengths:

(i) 40 mm = ………… .. cm

(ii) 540 cm = ………… .. m ………… .. cm

(iii) 160 mm = ………… .. cm

(iv) 1250 m = ………… .. km ………… .. m

(v) 10500 cm = ………… .. m

(vi) 3500 cm = ………… .. m ………… .. cm

(vii) 612 cm = ………… .. m ………… .. cm

(viii) 41752 m = ………… .. km ………… .. m

Reply:

I. (i) 4 cm

(ii) 5 m 40 cm

(iii) 16 cm

(iv) 1 km 250 m²

(v) 105 m

(vi) 35 m 0 cm

(vii) 6 m 12 cm

(viii) 41 km 752 m²

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