Question

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

Answer 1

`0.00705" "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 `7.0500xx10^(-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" "m^3`