Which sign makes the statement true? 3.4 × 10^5 ? 4.3 × 10^4 Choices: (A)> (B)< (C)=

Analyze Given Expressions: Analyze the given expressions. We have: 3.4 × 10^5 and 4.3 × 10^4 First, notice that the exponents are different, with one being 5 and the other being 4.Compare Exponents: Compare the exponents. Since the exponents are different, we can determine which number is larger by comparing the exponents. 5 > 4 This means that 10^5 is greater than 10^4.Compare Numbers: Compare the numbers without changing the exponents. Because 10^5 is ten times greater than 10^4, we can say that 3.4 × 10^5 is greater than 4.3 × 10^4, even though 4.3 is greater than 3.4, because the exponent on the 3.4 is larger.Choose Correct Sign: Choose the correct sign. Since 3.4 × 10^5 is greater than 4.3 × 10^4, the correct sign to make the statement true is ＂>＂.

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Which sign makes the statement true? $\newline$ $3.4 \times 10^5$ $\text{?}$ $4.3 \times 10^4$ $\newline$ Choices: $\newline$ (A) > $\newline$ (B) < $\newline$ (C) $=$

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Algebra 1

Compare numbers written in scientific notation

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Q. Which sign makes the statement true?

\newline

3.4 \times 10^5

\text{?}

4.3 \times 10^4

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Analyze Given Expressions: Analyze the given expressions. $\newline$ We have: $\newline$ $3.4 \times 10^5$ and $4.3 \times 10^4$ $\newline$ First, notice that the exponents are different, with one being $5$ and the other being $4$ .
Compare Exponents: Compare the exponents. $\newline$ Since the exponents are different, we can determine which number is larger by comparing the exponents. $\newline$ 5 > 4 $\newline$ This means that $10^5$ is greater than $10^4$ .
Compare Numbers: Compare the numbers without changing the exponents. $\newline$ Because $10^5$ is ten times greater than $10^4$ , we can say that $3.4 \times 10^5$ is greater than $4.3 \times 10^4$ , even though $4.3$ is greater than $3.4$ , because the exponent on the $3.4$ is larger.
Choose Correct Sign: Choose the correct sign. $\newline$ Since $3.4 \times 10^5$ is greater than $4.3 \times 10^4$ , the correct sign to make the statement true is ＂>＂.