Question

What is the value of $40404.04÷{10}^5?$

• A. $404.0404$
• B. $40.40404$
• C. $4.040404$
• D. $0.4040404$
• E. None of the above

Answer 1

The correct option is D $0.4040404$

$\underset{–}{\text{Need to find:}}$ The value of $40404.04÷{10}^5$

In $40404.04÷{10}^5$, as the exponent to the base $10$ is $5$, upon dividing $40404.04$ by ${10}^5$, the decimal point in $40404.04$ moves $5$ units to the left.

$\therefore 40404.04÷{10}^5=.4040404=0.4040404$

$\underset{–}{\text{Crosscheck:}}$ $0.4040404\times {10}^5$ $=040404.04$ $(\because$ Multiplying $0.4040404$ by ${10}^5$ moves the decimal point $5$ units to the right$)$ $=40404.04$ So, $40404.04÷{10}^5=0.4040404$,i.e., $0.4040404\times {10}^5=40404.04$