Question

Divide 13.31 x 1010 by 1.21 x 1015 and write the answer in standard form.
$divide \: 13.31 \times {10}^{10} \: by \: 1.21 \times {10}^{15} and \: write \: the \: answer \: in \: standard \: form$
​

Answer 1

Answer: 11 × 10^-5

Explanation:

13.31 = 11³ ÷ 10²

So, 13.31 × 10^10 = 11³ × 10^10 ÷ 10² = 11³ × 10^8    ....1

Now, 1.21 = 11² ÷ 10²

So, 1.21 × 10^15 = 11² × 10^15 ÷ 10² = 11² × 10^13     ....2

Now, dividing 1 by 2,

(11³ × 10^8) ÷ (11² × 10^13) = 11 × 10^-5