Division of decimal numbers - II — lesson. Mathematics State Board, Class 7.

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ii) Division of a decimal number by a whole number

Let us learn how to divide the decimal number by a whole number.

$8.4 ÷ 2$

$8.4 ÷ 2 =$

$\frac{8.4}{2} = 8.4 \times \frac{1}{2}$ . We can write

$8.4$ as

$\frac{84}{10}$ .

So,

$\frac{84}{10} \times \frac{1}{2} = \frac{84^{42}}{10} \times \frac{1}{2} = \frac{42}{10} = 4. 2$

Therefore,

$\frac{8.4}{2} = 4.2$ .

In another way, we can divide given expression using the normal division method.

$\begin{array}{l} \underline{4.2} \\ 2) 8.4 \\ \underline{8 ↓} \\ 0 4 \\ \underline{4} \\ \underline{0} \end{array}$

iii) Division of a decimal number by another decimal number:

i) Find the value of

$30.8 ÷ 0.7$ .

The given expression

$\frac{30. 8}{0.7}$ . We can rewrite it as

$\frac{\frac{308}{10}}{\frac{7}{10}} = \frac{308}{10} \times \frac{10}{7}$ .

Let us simplify it.

$\frac{308}{10} \times \frac{10}{7} = \frac{308}{7} = 44$

Therefore, the value of

$30.8 ÷ 0.7$ is

$44$ .

ii) Find the value of

$115.2 ÷ 0.9$ .

Similarly, we can rewrite the given expression

$\frac{115.2}{0.9}$ as

$\frac{\frac{1152}{10}}{\frac{9}{10}} = \frac{1152}{10} \times \frac{10}{9}$ .

$=$

$\frac{1152}{10} \times \frac{10}{9} = \frac{1152}{9} = 128$ .

Therefore,

$115.2 ÷ 0.9 = 128$ .

Did you find an error?

2. Division of decimal numbers - II