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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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Compare numbers written in scientific notation

Full solution

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 ＂ $>$ ＂.

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