Which sign makes the statement true? 1.6 × 10^5 ? 6.1 × 10^5 Choices: (A)> (B)< (C)=

Analyze numbers: Step 1: Analyze the numbers given. We have 1.6 × 10^5 and 6.1 × 10^5. Both numbers have the same exponent, which is 5. Compare coefficients: Step 2: Compare the coefficients since the exponents are the same. 1.6 and 6.1 need to be compared directly because they are multiplied by the same power of 10. Determine larger coefficient: Step 3: Determine which coefficient is larger. 1.6 is less than 6.1. Choose correct sign: Step 4: Choose the correct sign based on the comparison. Since 1.6 is less than 6.1, 1.6 × 10^5 is less than 6.1 × 10^5.

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Which sign makes the statement true? $\newline$ $1.6 \times 10^5 \,?\, 6.1 \times 10^5$ $\newline$ Choices: $\newline$ (A) > $\newline$ (B) < $\newline$ (C) $=$

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Math Problems

Algebra 1

Compare numbers written in scientific notation

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Q. Which sign makes the statement true?

\newline

1.6 \times 10^5 \,?\, 6.1 \times 10^5

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Analyze numbers: Step $1$ : Analyze the numbers given. $\newline$ We have $1.6 \times 10^5$ and $6.1 \times 10^5$ . Both numbers have the same exponent, which is $5$ .
Compare coefficients: Step $2$ : Compare the coefficients since the exponents are the same. $1.6$ and $6.1$ need to be compared directly because they are multiplied by the same power of $10$ .
Determine larger coefficient: Step $3$ : Determine which coefficient is larger. $1.6$ is less than $6.1$ .
Choose correct sign: Step $4$ : Choose the correct sign based on the comparison. $\newline$ Since $1.6$ is less than $6.1$ , $1.6 \times 10^5$ is less than $6.1 \times 10^5$ .