Which sign makes the statement true? 9,490 ? 9.49 × 10^3 Choices: (A)> (B)< (C)=

Understand the problem: Understand the problem. We need to compare two numbers: 9,490 and 9.49 × 10^3. We will convert both numbers to the same format to make the comparison easier.Convert to standard form: Convert 9.49 × 10^3 to standard form. 9.49 × 10^3 is equal to 9.49 × 1,000 because 10^3 means 10 multiplied by itself 3 times, which is 1,000. 9.49 × 1,000 = 9,490.Compare the numbers: Compare the two numbers. Now we have 9,490 ? 9,490. Since both numbers are equal, the correct sign is ＂=＂.

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Which sign makes the statement true? $\newline$ $9,490$ $?$ $9.49 \times 10^3$ $\newline$ Choices: $\newline$ (A) > $\newline$ (B) < $\newline$ (C) $=$

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Math Problems

Grade 8

Compare numbers written in scientific notation

Full solution

Q. Which sign makes the statement true?

\newline

9,490

?

9.49 \times 10^3

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Understand the problem: Understand the problem. $\newline$ We need to compare two numbers: $9,490$ and $9.49 \times 10^3$ . We will convert both numbers to the same format to make the comparison easier.
Convert to standard form: Convert $9.49 \times 10^3$ to standard form. $\newline$ $9.49 \times 10^3$ is equal to $9.49 \times 1,000$ because $10^3$ means $10$ multiplied by itself $3$ times, which is $1,000$ . $\newline$ $9.49 \times 1,000 = 9,490$ .
Compare the numbers: Compare the two numbers. $\newline$ Now we have $9,490 \,?\, 9,490$ . $\newline$ Since both numbers are equal, the correct sign is ＂ $=$ ＂.