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Which sign makes the statement true? $\newline$ $5.2 \times 10^4 \,?\, 2.5 \times 10^4$ $\newline$ 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

5.2 \times 10^4 \,?\, 2.5 \times 10^4

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Exponents Comparison: We have $5.2 \times 10^4$ and $2.5 \times 10^4$ . $\newline$ Are the exponents the same or different? $\newline$ Exponents are both $4$ . $\newline$ Both exponents are the same.
Coefficient Comparison: Since the exponents are the same, we can compare the coefficients directly. $\newline$ Which sign makes the statement true? $\newline$ 5.2 \,\text{____}\, 2.5 $\newline$ Compare the coefficients because the exponents are the same. $\newline$ $5.2 > 2.5$ $\newline$ $5.2 \times 10^4 > 2.5 \times 10^4$ .

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