Question

A series of mystery books contains $2,029,242$ words. A series of science fiction books contains about $3.5$ times the number of words as the mystery book series. What is the approximate number of words in the science fiction book series?

Answer 1

Given, A series of mystery books contains $2,029,242$ words.

A series of science fiction books contains about $3.5$ times the number of words as the mystery book series.

Approximate number of words in the science fiction book series $=3.5\times 2,029,242$

$=7,102,347$

$7,102,347\approx 7,000,000$ ( Round off to nearest $1,000,000$ )

$7,000,000=7\times 1,000,000$ ( Factor out $7$)

$7\times 1,000,000=7\times {10}^6$ ( Write $1,000,000$ as a power of $10$ )

Hence, Approximate number of words in the science fiction book series $7\times {10}^6$ words.