Which inequality correctly orders the numbers -3(1)/(4),-0.75, and 2.6 ? Choose 1 answer: (A) -0.75 < -3(1)/(4) < 2.6 (B) -3(1)/(4) < -0.75 < 2.6 (C) 2.6 < -0.75 < -3(1)/(4) (D) 2.6 < -3(1)/(4) < -0.75

Convert fraction to decimal: Convert the fraction -3(1)/(4) to a decimal to compare it with the other numbers. -3(1)/(4) = -3 + (1/4) = -3 + 0.25 = -3.25Compare decimal values: Compare the decimal values of the numbers. We have -3.25, -0.75, and 2.6. We know that -3.25 is less than -0.75 because the more negative a number, the smaller it is. We also know that both -3.25 and -0.75 are less than 2.6 because negative numbers are smaller than positive numbers.Order numbers from smallest to largest: Order the numbers from smallest to largest using the comparisons from Step 2. The correct order is -3.25 < -0.75 < 2.6.Match ordered numbers to choices: Match the ordered numbers to the choices given in the problem. The ordered list from Step 3 corresponds to choice (B) -3(1)/(4) < -0.75 < 2.6.

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Which inequality correctly orders the numbers
-3(1)/(4),-0.75, and 2.6 ?
Choose 1 answer:
(A)
-0.75 < -3(1)/(4) < 2.6
(B)
-3(1)/(4) < -0.75 < 2.6
(C)
2.6 < -0.75 < -3(1)/(4)
(D)
2.6 < -3(1)/(4) < -0.75

Which inequality correctly orders the numbers $-3 \frac{1}{4},-0.75$ , and $2$ . $6$ ? $\newline$ Choose $1$ answer: $\newline$ (A) -0.75<-3 \frac{1}{4}<2.6 $\newline$ (B) -3 \frac{1}{4}<-0.75<2.6 $\newline$ (C) 2.6<-0.75<-3 \frac{1}{4} $\newline$ (D) 2.6<-3 \frac{1}{4}<-0.75

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Q. Which inequality correctly orders the numbers

-3 \frac{1}{4},-0.75

, and

2

6

\newline

Choose

1

answer:

\newline

(A)

-0.75<-3 \frac{1}{4}<2.6

\newline

(B)

-3 \frac{1}{4}<-0.75<2.6

\newline

(C)

2.6<-0.75<-3 \frac{1}{4}

\newline

(D)

2.6<-3 \frac{1}{4}<-0.75

Convert fraction to decimal: Convert the fraction $-3\frac{1}{4}$ to a decimal to compare it with the other numbers. $\newline$ -3\frac{1}{4} = -3 + \frac{1}{4}$\newline = -3 + 0.25 $\newline$ = -3.25$
Compare decimal values: Compare the decimal values of the numbers. $\newline$ We have $-3.25$ , $-0.75$ , and $2.6$ . $\newline$ We know that $-3.25$ is less than $-0.75$ because the more negative a number, the smaller it is. $\newline$ We also know that both $-3.25$ and $-0.75$ are less than $2.6$ because negative numbers are smaller than positive numbers.
Order numbers from smallest to largest: Order the numbers from smallest to largest using the comparisons from Step $2$ . $\newline$ The correct order is -3.25 < -0.75 < 2.6.
Match ordered numbers to choices: Match the ordered numbers to the choices given in the problem. $\newline$ The ordered list from Step $3$ corresponds to choice (B) -3\left(\frac{1}{4}\right) < -0.75 < 2.6.