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Which sign makes the statement true? $\newline$ $3,440$ $\text{?}$ $3.44 \times 10^3$ $\newline$ 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

3,440

\text{?}

3.44 \times 10^3

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Understand the problem: Understand the problem. $\newline$ We need to compare the value of $3,440$ with the value of $3.44$ multiplied by $10^3$ to determine which inequality sign is appropriate.
Convert to standard form: Convert the scientific notation to standard form. $\newline$ $3.44 \times 10^3$ means $3.44$ multiplied by $10$ raised to the power of $3$ . $\newline$ $10^3 = 10 \times 10 \times 10 = 1,000$ $\newline$ So, $3.44 \times 10^3 = 3.44 \times 1,000$ .
Perform multiplication: Perform the multiplication to find the value of $3.44 \times 10^3$ . $\newline$ $3.44 \times 1,000 = 3,440$
Compare values: Compare the values. $\newline$ Now we have $3,440 \,?\, 3,440$ . $\newline$ Since both values are equal, the correct inequality sign is ＂ $=$ ＂.

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