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Which sign makes the statement true? $\newline$ $4.5 \times 10^2$ $\text{?}$ $4.5 \times 10^4$ $\newline$ 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

4.5 \times 10^2

\text{?}

4.5 \times 10^4

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Analyze expressions: Analyze the given expressions. $\newline$ We have $4.5 \times 10^2$ and $4.5 \times 10^4$ . $\newline$ Are the exponents the same or different? $\newline$ Exponents are $2$ and $4$ . $\newline$ Both exponents are different.
Compare exponents: Compare the exponents. $\newline$ Since the base numbers $4.5$ are the same, we only need to compare the exponents to determine the inequality. $\newline$ Exponents are $2$ and $4$ . $\newline$ $2 < 4$ $\newline$ Therefore, $4.5 \times 10^2 < 4.5 \times 10^4$ .

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