# How do you write 7.0500xx10^-3 m^3 in standard form?

May 9, 2017

$0.00705 \text{ } {m}^{3}$

#### Explanation:

In scientific notation, we write a number so that it has single digit to the left of decimal sign (as in the given question) and is multiplied by an integer power of $10$.

Note that moving decimal $p$ digits to right is equivalent to multiplying by ${10}^{p}$ and moving decimal $q$ digits to left is equivalent to dividing by ${10}^{q}$.

Hence, to write $7.0500 \times {10}^{- 3}$ in standard form, we should multiply it by ${10}^{- 3}$ i.e. move decimal point to the left by $3$ digits (as $- 3$ is a negative number).

Hence we write number as $00007.0500$ and move decimal $3$ points and in standard form, it appears as $00.0070500$ i.e.

$0.00705 \text{ } {m}^{3}$