Which sign makes the statement true? 2.0 × 10^3 ? 2.0 × 10^2 Choices: (A)> (B)< (C)=

Analyze expressions: Analyze the given expressions. We have 2.0 × 10^3 and 2.0 × 10^2. Are the exponents the same or different? Exponents are 3 and 2. Both exponents are different. Compare exponents: Compare the exponents. Since the base numbers (2.0) are the same, we only need to compare the exponents to determine the inequality. Exponents are 3 and 2. 3 > 2 Therefore, 2.0 × 10^3 > 2.0 × 10^2.

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Which sign makes the statement true? $\newline$ $2.0 \times 10^3$ $\text{?}$ $2.0 \times 10^2$ $\newline$ 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

2.0 \times 10^3

\text{?}

2.0 \times 10^2

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Analyze expressions: Analyze the given expressions. $\newline$ We have $2.0 \times 10^3$ and $2.0 \times 10^2$ . $\newline$ Are the exponents the same or different? $\newline$ Exponents are $3$ and $2$ . $\newline$ Both exponents are different.
Compare exponents: Compare the exponents. $\newline$ Since the base numbers ( $2.0$ ) are the same, we only need to compare the exponents to determine the inequality. $\newline$ Exponents are $3$ and $2$ . $\newline$ 3 > 2 $\newline$ Therefore, 2.0 \times 10^3 > 2.0 \times 10^2.