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Which sign makes the statement true? $\newline$ $200 \, ? \, 2 \times 10^3$ $\newline$ 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

200 \, ? \, 2 \times 10^3

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Understand the problem: Understand the problem. $\newline$ We need to compare two numbers: $200$ and $2 \times 10^3$ . $\newline$ We need to determine whether $200$ is greater than, less than, or equal to $2 \times 10^3$ .
Simplify the expression: Simplify the expression $2 \times 10^3$ . $2 \times 10^3$ is equal to $2 \times 1000$ because $10^3$ means $10$ multiplied by itself $3$ times, which is $1000$ . So, $2 \times 10^3 = 2 \times 1000 = 2000$ .
Compare the two numbers: Compare the two numbers. $\newline$ Now we compare $200$ and $2000$ . $\newline$ $200$ is less than $2000$ . $\newline$ So, the correct sign that makes the statement true is $\text{“}<\text{”}$ .

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