Which sign makes the statement true? 3.88 × 10^2 ? 3.88 × 10^3 Choices: (A)> (B)< (C)=

Identify Base Numbers and Exponents: Identify the base numbers and the exponents in both expressions. We have 3.88 × 10^2 and 3.88 × 10^3. The base number is the same in both expressions (3.88), but the exponents are different (2 and 3).Compare Exponents: Compare the exponents to determine the relationship between the two expressions. Since the base numbers are the same, the expression with the higher exponent will be larger. Exponent of the first expression is 2, and the exponent of the second expression is 3. 2 < 3Conclude Based on Exponents: Conclude which expression is greater based on the comparison of exponents. Because 2 < 3, we can conclude that: 3.88 × 10^2 < 3.88 × 10^3

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Which sign makes the statement true? $\newline$ $3.88 \times 10^2$ $\text{?}$ $3.88 \times 10^3$ $\newline$ 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

3.88 \times 10^2

\text{?}

3.88 \times 10^3

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Identify Base Numbers and Exponents: Identify the base numbers and the exponents in both expressions. $\newline$ We have $3.88 \times 10^2$ and $3.88 \times 10^3$ . $\newline$ The base number is the same in both expressions ( $3.88$ ), but the exponents are different ( $2$ and $3$ ).
Compare Exponents: Compare the exponents to determine the relationship between the two expressions. $\newline$ Since the base numbers are the same, the expression with the higher exponent will be larger. $\newline$ Exponent of the first expression is $2$ , and the exponent of the second expression is $3$ . $\newline$ 2 < 3
Conclude Based on Exponents: Conclude which expression is greater based on the comparison of exponents. $\newline$ Because 2 < 3, we can conclude that: $\newline$ 3.88 \times 10^2 < 3.88 \times 10^3