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Which sign makes the statement true? $\newline$ $4.8 \times 10^5$ $\text{?}$ $48,000$ $\newline$ 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

4.8 \times 10^5

\text{?}

48,000

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Express in Scientific Notation: We have $4.8 \times 10^5$ and $48,000$ . $\newline$ First, let's express $48,000$ in scientific notation to easily compare it with $4.8 \times 10^5$ . $\newline$ $48,000 = 4.8 \times 10^4$
Compare Exponents: Now we compare $4.8 \times 10^5$ with $4.8 \times 10^4$ . Since the base number $4.8$ is the same in both expressions, we only need to compare the exponents to determine which is larger. $5 > 4$ Therefore, $4.8 \times 10^5 > 4.8 \times 10^4$ .
Replace and Compare: Since $48,000$ is equal to $4.8 \times 10^4$ , we can now replace it in the original comparison. $\newline$ Which sign makes the statement true? $\newline$ $4.8 \times 10^5 \, ? \, 48,000$ $\newline$ Now we know that: $\newline$ $4.8 \times 10^5 > 4.8 \times 10^4$ $\newline$ So, the correct sign is ＂ $>$ ＂.

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