Question

Camille simplified an expression as shown. discuss why this method is justified. 6x10%5E%7B5%7D%20%7D%7B3x10%5E%7B2%7D%20%7D%20" id="TexFormula1" title=" \frac{6x10^{5} }{3x10^{2} } " alt=" \frac{6x10^{5} }{3x10^{2} } " align="absmiddle" class="latex-formula">=$\frac{6}{3}x \frac{10^{5} }{10^{2} } =$2x$10^{3} = 2000$ 

Answer 1

We know that
$\frac{ab}{cd} = \frac{a}{c} \times \frac{b}{d}$

Therefore
$\frac{6\times10^{5}}{3\times10^{2}} = \frac{6}{3} \times \frac{10^{5}}{10^{2}} =2 \times 10^{5-2} = 2 \times 10^{3} = 2000$

This verifies that Camile's method is justified.