Question

The value of $63÷{10}^4$ is .

• A. $0.63$
• B. $0.063$
• C. $0.0063$

Answer 1

The correct option is C $0.0063$

$63÷{10}^4=63.0÷{10}^4=?$

In $63.0÷{10}^4,$ $10$ has the power $4$. Therefore, the decimal point in $63.0$ will be shifted by $4$ units towards left.

But, in $63.0,$ there are only two digits to the left of decimal point. Thus, we can rewrite $63.0$ as $00063.0$.

$\underset{–}{\text{Note:}}$ We can put any number of zeros in front of a number.

Hence,
$63÷{10}^4$
$=63.0÷{10}^4$
$=00063.0÷{10}^4$
$=0.00630$
$=0.0063$

$\therefore \underset{–}{63÷{10}^4=0.0063}$

$\underset{–}{\text{Crosscheck:}}$ We know division is opposite of multiplication. So, $0.0063\times {10}^4$ should be $63$. $0.0063\times {10}^4$ $=0.00630\times {10}^4$ $=00063.0$ $(\because$ Multiplication of $0.0063$ by ${10}^4$ moves the decimal point $4$ units to the right) $=63$ So, $63÷{10}^4=0.0063$, i.e., $0.0063\times {10}^4=63$