# What is (60. ms^2)/(0.060s) ?

Jul 12, 2017

$1000 m s$

#### Explanation:

we will deal with the numerical and dimensional parts separately

$\left(1\right) \text{ }$numerical part

$\frac{60}{0.060}$

when dividing by a decimal the best approach is to multiply top and bottom by a power of $10$ in order to make the denominator a whole number.

$\frac{60}{0.060} \times \frac{100}{100}$

$= \frac{6000}{6}$

$= 1000$

$\left(2\right) \text{ }$Dimensional part

$\frac{m {s}^{2}}{s}$

change so that all dimensions are on top.

$= m {s}^{2} {s}^{- 1}$

use rules of powers

$= m {s}^{2 + - 1} = m {s}^{1} = m s$

put the two together

$= 1000 m s$