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Which sign makes the statement true? $\newline$ $9.4 \times 10^{1} \,?\, 9.4 \times 10^{2}$ $\newline$ Choices: $\newline$ (A) $>$ $\newline$ (B) $<$ $\newline$ (C) $=$

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Compare numbers written in scientific notation

Full solution

Q. Which sign makes the statement true?

\newline

9.4 \times 10^{1} \,?\, 9.4 \times 10^{2}

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Analyze Expressions: Analyze the given expressions. $\newline$ We have $9.4 \times 10^1$ and $9.4 \times 10^2$ . $\newline$ Are the exponents the same or different? $\newline$ Exponents are $1$ and $2$ . $\newline$ Both exponents are different.
Compare Exponents: Compare the exponents. $\newline$ Since the base numbers ( $9.4$ ) are the same, we only need to compare the exponents to determine the inequality. $\newline$ Exponents are $1$ and $2$ . $\newline$ $1 < 2$ $\newline$ Therefore, $9.4 \times 10^1 < 9.4 \times 10^2$ .

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