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Which sign makes the statement true? $\newline$ $3.7 \times 10^{4} \,?\, 3.7 \times 10^{3}$ $\newline$ 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

3.7 \times 10^{4} \,?\, 3.7 \times 10^{3}

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Analyze expressions: Analyze the given expressions. $\newline$ We have $3.7 \times 10^4$ and $3.7 \times 10^3$ . $\newline$ Are the exponents the same or different? $\newline$ Exponents are $4$ and $3$ . $\newline$ Both exponents are different.
Compare exponents: Compare the exponents. $\newline$ Since the base numbers $3.7$ are the same, we only need to compare the exponents to determine the inequality. $\newline$ Exponents are $4$ and $3$ . $\newline$ $4 > 3$ $\newline$ Therefore, $3.7 \times 10^4 > 3.7 \times 10^3$ .

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