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Which sign makes the statement true? $\newline$ $595,000$ $?$ $5.95 \times 10^5$ $\newline$ Choices: $\newline$ (A) $>$ $\newline$ (B) $<$ $\newline$ (C) $=$ $\newline$

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Compare numbers written in scientific notation

Full solution

Q. Which sign makes the statement true?

\newline

595,000

?

5.95 \times 10^5

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

\newline

Understand the problem: Understand the problem. $\newline$ We need to compare two numbers: $595,000$ and $5.95 \times 10^5$ . We will convert both numbers to the same format to make the comparison easier.
Convert to scientific notation: Convert $595,000$ to scientific notation. $\newline$ $595,000$ can be written as $5.95 \times 10^5$ in scientific notation because we move the decimal point $5$ places to the left.
Compare in scientific notation: Compare the two numbers in scientific notation. $\newline$ Now we have $5.95 \times 10^5 ? 5.95 \times 10^5$ . Since both the coefficient ( $5.95$ ) and the exponent ( $5$ ) are the same, the two numbers are equal.
Choose correct sign: Choose the correct sign. $\newline$ Since the two numbers are equal, the correct sign is $=$ .

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