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Which sign makes the statement true? $\newline$ $4.8 \times 10^5$ $?$ $4,180$ $\newline$ Choices: $\newline$ (A) $>$ $\newline$ (B) $<$ $\newline$ (C) $=$ $\newline$

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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

?

4,180

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

\newline

Check Number Formats: We have $4.8 \times 10^5$ and $4,180$ . $\newline$ Are the numbers in the same format for easy comparison? $\newline$ No, one is in scientific notation and the other is in standard form.
Convert to Standard Form: Convert $4.8 \times 10^5$ into standard form to compare it with $4,180$ . $\newline$ $4.8 \times 10^5 = 4.8 \times 100,000 = 480,000$
Compare Numbers: Compare the two numbers in standard form. $\newline$ $480,000$ ? $4,180$ $\newline$ Which number is larger? $\newline$ $480,000$ is larger than $4,180$ .
Choose Correct Sign: Choose the correct sign that makes the statement true. $\newline$ $480,000 > 4,180$ $\newline$ So, $4.8 \times 10^5 > 4,180$

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