Which sign makes the statement true? 57,300 ? 5.73 × 10^4 Choices: (A)> (B)< (C)=

Understand the problem: Understand the problem. We need to compare two numbers: 57,300 and 5.73 × 10^4. We will convert both numbers to the same format to make the comparison easier.Convert to scientific notation: Convert 57,300 to scientific notation. 57,300 can be written as 5.73 × 10^4 because we move the decimal point 4 places to the left to get 5.73.Compare in scientific notation: Compare the two numbers in scientific notation. Now we have 5.73 × 10^4 ? 5.73 × 10^4. Since both the coefficient (5.73) and the exponent (4) are the same, the two numbers are equal.Choose correct sign: Choose the correct sign. Since the numbers are equal, the correct sign is ＂=＂.

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Which sign makes the statement true? $\newline$ $57,300 \, ? \, 5.73 \times 10^{4}$ $\newline$ 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

57,300 \, ? \, 5.73 \times 10^{4}

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Understand the problem: Understand the problem. $\newline$ We need to compare two numbers: $57,300$ and $5.73 \times 10^4$ . We will convert both numbers to the same format to make the comparison easier.
Convert to scientific notation: Convert $57,300$ to scientific notation. $\newline$ $57,300$ can be written as $5.73 \times 10^4$ because we move the decimal point $4$ places to the left to get $5.73$ .
Compare in scientific notation: Compare the two numbers in scientific notation. $\newline$ Now we have $5.73 \times 10^4 ? 5.73 \times 10^4$ . Since both the coefficient ( $5.73$ ) and the exponent ( $4$ ) are the same, the two numbers are equal.
Choose correct sign: Choose the correct sign. $\newline$ Since the numbers are equal, the correct sign is $=$ .