Which sign makes the statement true? 65,000 ? 5.6 × 10^4 Choices: (A)> (B)< (C)=

Understand the problem: Understand the problem. We need to compare two numbers: 65,000 and 5.6 × 10^4. We need to determine which mathematical sign (>, <, or =) correctly represents the relationship between these two numbers.Convert to standard form: Convert the scientific notation to standard form. 5.6 × 10^4 means 5.6 multiplied by 10 to the power of 4. Calculating this gives us 5.6 × 10,000, which equals 56,000.Compare the numbers: Compare the two numbers. Now we compare 65,000 and 56,000. Since 65,000 is greater than 56,000, the correct sign is >.

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Which sign makes the statement true? $\newline$ $65,000 \, ? \, 5.6 \times 10^4$ $\newline$ 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

65,000 \, ? \, 5.6 \times 10^4

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Understand the problem: Understand the problem. $\newline$ We need to compare two numbers: $65,000$ and $5.6 \times 10^4$ . We need to determine which mathematical sign (>, <, or $=$ ) correctly represents the relationship between these two numbers.
Convert to standard form: Convert the scientific notation to standard form. $5.6 \times 10^4$ means $5.6$ multiplied by $10$ to the power of $4$ . Calculating this gives us $5.6 \times 10,000$ , which equals $56,000$ .
Compare the numbers: Compare the two numbers. $\newline$ Now we compare $65,000$ and $56,000$ . Since $65,000$ is greater than $56,000$ , the correct sign is >.