Which sign makes the statement true? 4.5 × 10^2 ? 4.5 × 10^4 Choices: (A)> (B)< (C)=

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

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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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Math Problems

Grade 8

Compare numbers written in scientific notation

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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.