Expert Answer to "Which of the following expressions is written in..."

High School
Algebra
Pre-Algebra
Equations, expressions, and inequalitie

kerrum75

Answered question

2021-12-09

Which of the following expressions is written in scientific notation?

0.09 \times 10^{7}

Answer & Explanation

Jonathan Burroughs

Beginner2021-12-10Added 37 answers

A number is written in scientific notation when the number is written in the form $a \times 10^{n}$ , where n needs to be an integer and a needs to satisfy the inequality $1 \leq a < 10$ .
$0.09 \times 10^{7}$
Comparing the given number with the form $a \times 10^{n}$ , we determine the values of a and n.
a=0.09
n=7
We need to verify whether n is an integer and a satisfies the inequality $1 \leq a < 10$ .
n=7 is indeed an integer. Howewer, a=0.09 is smaller than 1 and thus a does not satisfy the inequality $1 \leq a < 10$ . We then conclude that the number is not written in scientific notation.

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