Question

Work out (3.8 x 10⁴) × (2.7×10⁻⁸)
Give your answer in standard form.

Answer 1

`3.8* 10^4\qquad *\qquad 2.7*10^(-8)\qquad \implies \qquad (3.8\cdot 2.7)* 10^4*10^(-8) \\\\\\ 10.26* 10^(4-8)\implies 10.26* 10^(-4)\implies 10.26* \cfrac{1}{10^4} \\\\\\ \cfrac{10.26}{10^4}\implies \cfrac{10.26}{1\underline{0000}}\implies 0.\underline{0010}26`