Find:
$(i).\ 7.9 \div 1000$
$(ii).\ 26.3 \div 1000$
$(iii).\ 38.53 \div 1000$
$(iv).\ 128.9 \div 1000$
$(v).\ 0.5 \div 1000$

To do:

We have to find 

(i) $7.9 \div 1000$

(ii) $26.3 \div 1000$

(iii) $38.53 \div 1000$

(iv) $128.9 \div 1000$

(v) $0.5 \div 1000$

Solution:

We know that,

On dividing a decimal by $10^n$, the decimal point shifts to the left by $n$ places.

$\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$

Therefore,

(i) $7.9\div1000=\frac{79}{10}\times\frac{1}{1000}$

$=\frac{79}{10000}$

$=0.0079$

(ii) $26.3\div1000=26.3\times\frac{1}{1000}$

$=\frac{263}{10}\times\frac{1}{1000}$

$=\frac{263}{10000}$

$=0.0263$

(iii) $38.53\div1000=38.53\times\frac{1}{1000}$

$=\frac{3853}{100}\times\frac{1}{1000}$

$=\frac{3853}{100000}$

$=0.03853$

(iv) $128.9\div1000=128.9\times\frac{1}{1000}$

$=\frac{1289}{10}\times\frac{1}{1000}$

$=\frac{1289}{10000}$

$=0.1289$

(v) $0.5\div1000=0.5\times\frac{1}{1000}$

$=\frac{5}{10}\times\frac{1}{1000}$

$=\frac{5}{10000}$

$=0.0005$

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Updated on: 10-Oct-2022

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