Which sign makes the statement true? 1,600 ? 1.6 × 10^3 Choices: (A)> (B)< (C)=

Understand the problem: Understand the problem. We need to compare two numbers: 1,600 and 1.6 × 10^3. We will convert both numbers to the same format to make the comparison easier.Convert to scientific notation: Convert 1,600 to scientific notation. 1,600 can be written as 1.6 × 10^3 in scientific notation.Compare the numbers: Compare the two numbers. Now we have 1.6 × 10^3 ? 1.6 × 10^3. Since both the coefficient (1.6) and the exponent (3) are the same, the two numbers are equal.Choose correct sign: Choose the correct sign. The correct sign that makes the statement true is ＂=＂.

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Which sign makes the statement true? $\newline$ $1,600$ $\text{?}$ $1.6 \times 10^3$ $\newline$ Choices: $\newline$ (A) > $\newline$ (B) < $\newline$ (C) $=$

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Math Problems

Grade 8

Compare numbers written in scientific notation

Full solution

Q. Which sign makes the statement true?

\newline

1,600

\text{?}

1.6 \times 10^3

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Understand the problem: Understand the problem. $\newline$ We need to compare two numbers: $1,600$ and $1.6 \times 10^3$ . $\newline$ We will convert both numbers to the same format to make the comparison easier.
Convert to scientific notation: Convert $1,600$ to scientific notation. $\newline$ $1,600$ can be written as $1.6 \times 10^3$ in scientific notation.
Compare the numbers: Compare the two numbers. $\newline$ Now we have $1.6 \times 10^3 ? 1.6 \times 10^3$ . $\newline$ Since both the coefficient ( $1.6$ ) and the exponent ( $3$ ) are the same, the two numbers are equal.
Choose correct sign: Choose the correct sign. $\newline$ The correct sign that makes the statement true is $=$ .