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Which sign makes the statement true? $\newline$ $5.95 \times 10^4 \,?\, 5,950$ $\newline$ 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

5.95 \times 10^4 \,?\, 5,950

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Check Formats: We have $5.95 \times 10^4$ and $5,950$ . $\newline$ Are the numbers in the same format? $\newline$ No, one is in scientific notation and the other is in standard form.
Convert to Standard Form: Convert $5.95 \times 10^4$ to standard form to compare it with $5,950$ . $\newline$ $5.95 \times 10^4 = 5.95 \times 10,000 = 59,500$
Compare Numbers: Compare the two numbers in standard form. $\newline$ $59,500$ ? $5,950$ $\newline$ Which is larger? $\newline$ $59,500$ is larger than $5,950$ .
Choose Correct Sign: Choose the correct sign that makes the statement true. $\newline$ $59,500 > 5,950$ $\newline$ So, $5.95 \times 10^4 > 5,950$

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