Which sign makes the statement true? 83,000 ? 8.3 × 10^4 Choices: (A)> (B)< (C)=

Understand the problem: Understand the problem. We need to compare two numbers: 83,000 and 8.3 × 10^4. We will convert both numbers to the same format to make the comparison easier.Convert to scientific notation: Convert 83,000 to scientific notation. 83,000 can be written as 8.3 × 10^4 because we move the decimal point 4 places to the left to get from 83,000 to 8.3.Compare in scientific notation: Compare the two numbers in scientific notation. We now have 8.3 × 10^4 ? 8.3 × 10^4. Since both the coefficient (8.3) and the exponent (4) are the same, the two numbers are equal.Choose correct sign: Choose the correct sign. The correct sign that makes the statement true is ＂=＂ because 8.3 × 10^4 is equal to 8.3 × 10^4.

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Which sign makes the statement true? $\newline$ $83,000 \, ? \, 8.3 \times 10^4$ $\newline$ 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

83,000 \, ? \, 8.3 \times 10^4

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Understand the problem: Understand the problem. $\newline$ We need to compare two numbers: $83,000$ and $8.3 \times 10^4$ . We will convert both numbers to the same format to make the comparison easier.
Convert to scientific notation: Convert $83,000$ to scientific notation. $\newline$ $83,000$ can be written as $8.3 \times 10^4$ because we move the decimal point $4$ places to the left to get from $83,000$ to $8.3$ .
Compare in scientific notation: Compare the two numbers in scientific notation. $\newline$ We now have $8.3 \times 10^4 ? 8.3 \times 10^4$ . Since both the coefficient ( $8.3$ ) and the exponent ( $4$ ) are the same, the two numbers are equal.
Choose correct sign: Choose the correct sign. $\newline$ The correct sign that makes the statement true is ＂ $=$ ＂ because $8.3 \times 10^4$ is equal to $8.3 \times 10^4$ .