To convert a smaller unit into a bigger unit, we move the decimal point to the left. In other words, we can say that we divide.
This is very important for us to learn how to convert smaller units into bigger units. We use it often in our daily life.
Solved examples for the conversion of smaller units to bigger units:
1. Convert 9362.8 grams into the following units.
(i) Decagrams
(ii) hectograms
(iii) kilograms
Solution:
Because 1 dag = 10 g
So, 1 g = \(\frac{1}{10}\) dag
So, 9362.8 g = \(\frac{9362.8}{10}\) = (9362.8 ÷ 10) dag = 936.28 dag
Thus,
(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 millimetres into the following units.
(i) centimetres
(ii) metres
(iii) kilometres
Solution:
(i) 2345 millimetres = (2345 ÷ 10) = 234.5 centimetres, [Because 1 mm = \(\frac{1}{10}\) cm]
(ii) 2345 millimetres = (2345 ÷ 1000) = 2.345 metres, [Because 1 mm = \(\frac{1}{1000}\) m]
(iii) 2345 millimetres = (2345 ÷ 1000000) = 0.002345 kilometres, [Because 1 mm = \(\frac{1}{1000000}\) km]
Let us consider another example involving different types of conversions.
2. Convert the following:
(i) 3598 mm to m
(ii) 4683254 mg to 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
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