Which sign makes the statement true? 4,570 ? 4.57 × 10^3 Choices: (A)> (B)< (C)=

Understand the problem: Understand the problem. We need to compare two numbers: 4,570 and 4.57 × 10^3. To do this, we should express both numbers in the same format.Convert to standard form: Convert 4.57 × 10^3 to standard form. 4.57 × 10^3 is equal to 4.57 × 1,000, because 10^3 means 10 multiplied by itself 3 times, which is 1,000. 4.57 × 1,000 = 4,570.Compare the numbers: Compare the two numbers. Now we have 4,570 ? 4,570. Since both numbers are equal, the correct sign is ＂=＂.

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Which sign makes the statement true? $\newline$ $4,570 \, ? \, 4.57 \times 10^3$ $\newline$ Choices: $\newline$ (A) > $\newline$ (B) < $\newline$ (C) $=$

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Math Problems

Grade 8

Compare numbers written in scientific notation

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Q. Which sign makes the statement true?

\newline

4,570 \, ? \, 4.57 \times 10^3

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Understand the problem: Understand the problem. $\newline$ We need to compare two numbers: $4,570$ and $4.57 \times 10^3$ . To do this, we should express both numbers in the same format.
Convert to standard form: Convert $4.57 \times 10^3$ to standard form. $\newline$ $4.57 \times 10^3$ is equal to $4.57 \times 1,000$ , because $10^3$ means $10$ multiplied by itself $3$ times, which is $1,000$ . $\newline$ $4.57 \times 1,000 = 4,570$ .
Compare the numbers: Compare the two numbers. $\newline$ Now we have $4,570 \,?\, 4,570$ . $\newline$ Since both numbers are equal, the correct sign is ＂ $=$ ＂.