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Which sign makes the statement true? $\newline$ $3.60 \times 10^4$ $\text{?}$ $3,600$ $\newline$ 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

3.60 \times 10^4

\text{?}

3,600

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Convert to Scientific Notation: We have $3.60 \times 10^4$ and $3,600$ . $\newline$ First, let's express $3,600$ in scientific notation to compare it easily with $3.60 \times 10^4$ . $\newline$ $3,600 = 3.60 \times 10^3$
Compare Exponents: Now we compare $3.60 \times 10^4$ with $3.60 \times 10^3$ . Since the base numbers ( $3.60$ ) are the same, we only need to compare the exponents. The exponent in $3.60 \times 10^4$ is $4$ , and the exponent in $3.60 \times 10^3$ is $3$ . $4 > 3$ Therefore, $3.60 \times 10^4 > 3.60 \times 10^3$

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