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

1 Answer
May 9, 2017

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