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Which sign makes the statement true? $\newline$ $7.87 \times 10^2$ $?$ $7,870$ $\newline$ 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

7.87 \times 10^2

?

7,870

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Understand the problem: Understand the problem. $\newline$ We need to compare two numbers: $7.87 \times 10^2$ and $7,870$ .
Convert to standard form: Convert the scientific notation to standard form. $\newline$ $7.87 \times 10^2$ means $7.87$ times $10$ squared. $\newline$ $10$ squared is $100$ . $\newline$ So, $7.87 \times 10^2 = 7.87 \times 100$ .
Perform multiplication: Perform the multiplication to convert to standard form. $7.87 \times 100 = 787$ .
Compare the numbers: Compare the two numbers. $\newline$ We have $787$ and $7,870$ . $\newline$ It is clear that $787$ is less than $7,870$ .
Choose correct sign: Choose the correct sign. Since $787$ is less than $7,870$ , the correct sign is $<$ .

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