How do you evaluate the expression x divided by 1.2 for the given value of x=0.06?

May 10, 2016

$5 \times {10}^{- 3}$

Explanation:

$\frac{x}{1.2} = \frac{0.006}{1.2}$

Multiply by 1 but in the form of $1 = \frac{100}{100}$

$\frac{0.006 \times 1000}{1.2 \times 1000} = \frac{6}{1200}$

Another way of writing 1200 is $12 \times {10}^{2}$

$\frac{6}{1200} = \frac{6}{12} \times \frac{1}{10} ^ 2$

$= \frac{1}{2} \times \frac{1}{10} ^ 2 = \frac{0.5}{10} ^ 2$

Multiply by 1 but in the form of $1 = \frac{10}{10}$

$\frac{0.5 \times 10}{{10}^{2} \times 10} = \frac{5}{10} ^ 3$

$= 5 \times {10}^{- 3}$