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Which sign makes the statement true? $\newline$ $7.6 \times 10^5$ $\text{?}$ $7.60 \times 10^5$ $\newline$ 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

7.6 \times 10^5

\text{?}

7.60 \times 10^5

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Identify Numbers: We have: $\newline$ $7.6 \times 10^5$ and $7.60 \times 10^5$ $\newline$ Are the numbers the same or different? $\newline$ Both numbers have the same base ( $10$ ) and the same exponent ( $5$ ).
Compare Coefficients: Compare the coefficients. $7.6$ and $7.60$ The coefficients are the same, but one is written with an extra decimal place.
Determine Equality: Determine the equality of the two expressions. $\newline$ Since the base and exponent are the same and the coefficients are equal ( $7.6$ is the same as $7.60$ ), the two expressions are equal. $\newline$ $7.6 \times 10^5 = 7.60 \times 10^5$

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