Which sign makes the statement true? 1.95 × 10^2 ? 1.95 × 10^1 Choices: (A)> (B)< (C)=

Understand the problem: Understand the problem. We need to compare two expressions: 1.95 × 10^2 and 1.95 × 10^1. We will evaluate both expressions to determine which one is greater, lesser, or if they are equal.Evaluate 1.95 × 10^2: Evaluate 1.95 × 10^2. 1.95 × 10^2 means 1.95 multiplied by 100 (since 10^2 = 100). 1.95 × 100 = 195Evaluate 1.95 × 10^1: Evaluate 1.95 × 10^1. 1.95 × 10^1 means 1.95 multiplied by 10 (since 10^1 = 10). 1.95 × 10 = 19.5Compare the two results: Compare the two results. We have 195 from Step 2 and 19.5 from Step 3. Clearly, 195 is greater than 19.5.Choose the correct sign: Choose the correct sign. Since 195 is greater than 19.5, the correct sign to make the statement true is ＂>＂.

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Math Problems

Grade 7

Compare numbers written in scientific notation

Full solution

Q. Which sign makes the statement true?

\newline

1.95 \times 10^2 \,?\, 1.95 \times 10^1

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Understand the problem: Understand the problem. $\newline$ We need to compare two expressions: $1.95 \times 10^2$ and $1.95 \times 10^1$ . We will evaluate both expressions to determine which one is greater, lesser, or if they are equal.
Evaluate $1.95 \times 10^2$ : Evaluate $1.95 \times 10^2$ . $\newline$ $1.95 \times 10^2$ means $1.95$ multiplied by $100$ (since $10^2 = 100$ ). $\newline$ $1.95 \times 100 = 195$
Evaluate $1.95 \times 10^1$ : Evaluate $1.95 \times 10^1$ . $\newline$ $1.95 \times 10^1$ means $1.95$ multiplied by $10$ (since $10^1 = 10$ ). $\newline$ $1.95 \times 10 = 19.5$
Compare the two results: Compare the two results. $\newline$ We have $195$ from Step $2$ and $19.5$ from Step $3$ . Clearly, $195$ is greater than $19.5$ .
Choose the correct sign: Choose the correct sign. $\newline$ Since $195$ is greater than $19.5$ , the correct sign to make the statement true is ＂>＂.