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Which sign makes the statement true? $\newline$ $80,000 \, ? \, 8.0 \times 10^4$ $\newline$ Choices: $\newline$ (A) $>$ $\newline$ (B) $<$ $\newline$ (C) $=$

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Compare numbers written in scientific notation

Full solution

Q. Which sign makes the statement true?

\newline

80,000 \, ? \, 8.0 \times 10^4

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Understand the problem: Understand the problem. $\newline$ We need to compare two numbers: $80,000$ and $8.0 \times 10^4$ . We want to find out if $80,000$ is greater than, less than, or equal to $8.0 \times 10^4$ .
Convert to standard form: Convert $8.0 \times 10^4$ to standard form. $\newline$ $8.0 \times 10^4$ is the scientific notation for $8.0$ multiplied by $10$ raised to the power of $4$ . To convert it to standard form, we multiply $8.0$ by $10,000$ (which is $10^4$ ). $\newline$ $8.0 \times 10,000 = 80,000$ .
Compare the numbers: Compare the two numbers. $\newline$ Now we have $80,000 \,?\, 80,000$ . $\newline$ Since both numbers are the same, the correct sign is ＂ $=$ ＂.

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