Key to "Which of the following expressions is written in..."

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

deiteresfp

Answered question

2021-12-10

Which of the following expressions is written in scientific notation?

80 \times 10^{3}

Answer & Explanation

MoxboasteBots5h

Beginner2021-12-11Added 35 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 $1 \leq a < 10$ .
$80 \times 10^{3}$
Comparing the given number with the form $a \times 10^{n}$ , we determine the values of a and n.
a=80
n=3
We need to verify whether n is an integer and a satisfies the inequality $1 \leq a < 10$ .
n=3 is indeed an integer. However, a=80 is greater than 10 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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