Which inequality correctly orders the numbers -(2)/(3),-(11)/(3), and -2.5 ? Choose 1 answer: (A) -(2)/(3) < -(11)/(3) < -2.5 (B) -2.5 < -(11)/(3) < -(2)/(3) (C) -(2)/(3) < -2.5 < -(11)/(3) (D) -(11)/(3) < -2.5 < -(2)/(3)

Convert to common format: Convert all numbers to a common format to compare them easily. Since we have fractions and a decimal, let's convert -2.5 into a fraction. -2.5 is the same as -5/2 or -2 1/2.Compare fractions: Compare the fractions by finding a common denominator or by converting them to decimals. The common denominator for 3 and 2 is 6. So, we convert -(2)/(3) to -4/6 and -(11)/(3) to -22/6. We also convert -5/2 to -15/6 to compare with the other fractions.Compare with common denominator: Now that we have all numbers with a common denominator, we can compare them directly. We have -4/6, -22/6, and -15/6. It's clear that -22/6 is the smallest, followed by -15/6, and then -4/6 is the largest (since we are dealing with negative numbers, the larger the absolute value, the smaller the number).Translate back to original numbers: Translate the comparison back into the original numbers. -22/6 corresponds to -(11)/(3), -15/6 corresponds to -2.5, and -4/6 corresponds to -(2)/(3). Therefore, the correct order is -(11)/(3) < -2.5 < -(2)/(3).Match correct order: Match the correct order to the given answer choices. The correct order we found is option (D) -(11)/(3) < -2.5 < -(2)/(3).

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Which inequality correctly orders the numbers
-(2)/(3),-(11)/(3), and -2.5 ?
Choose 1 answer:
(A)
-(2)/(3) < -(11)/(3) < -2.5
(B)
-2.5 < -(11)/(3) < -(2)/(3)
(C)
-(2)/(3) < -2.5 < -(11)/(3)
(D)
-(11)/(3) < -2.5 < -(2)/(3)

Which inequality correctly orders the numbers $-\frac{2}{3},-\frac{11}{3}$ , and $-2$ . $5$ ? $\newline$ Choose $1$ answer: $\newline$ (A) -\frac{2}{3}<-\frac{11}{3}<-2.5 $\newline$ (B) -2.5<-\frac{11}{3}<-\frac{2}{3} $\newline$ (C) -\frac{2}{3}<-2.5<-\frac{11}{3} $\newline$ (D) -\frac{11}{3}<-2.5<-\frac{2}{3}

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Q. Which inequality correctly orders the numbers

-\frac{2}{3},-\frac{11}{3}

, and

-2

5

\newline

Choose

1

answer:

\newline

(A)

-\frac{2}{3}<-\frac{11}{3}<-2.5

\newline

(B)

-2.5<-\frac{11}{3}<-\frac{2}{3}

\newline

(C)

-\frac{2}{3}<-2.5<-\frac{11}{3}

\newline

(D)

-\frac{11}{3}<-2.5<-\frac{2}{3}

Convert to common format: Convert all numbers to a common format to compare them easily. Since we have fractions and a decimal, let's convert $-2.5$ into a fraction. $-2.5$ is the same as $-\frac{5}{2}$ or $-2 \frac{1}{2}$ .
Compare fractions: Compare the fractions by finding a common denominator or by converting them to decimals. The common denominator for $3$ and $2$ is $6$ . So, we convert $-\frac{2}{3}$ to $-\frac{4}{6}$ and $-\frac{11}{3}$ to $-\frac{22}{6}$ . We also convert $-\frac{5}{2}$ to $-\frac{15}{6}$ to compare with the other fractions.
Compare with common denominator: Now that we have all numbers with a common denominator, we can compare them directly. We have $-\frac{4}{6}$ , $-\frac{22}{6}$ , and $-\frac{15}{6}$ . It's clear that $-\frac{22}{6}$ is the smallest, followed by $-\frac{15}{6}$ , and then $-\frac{4}{6}$ is the largest (since we are dealing with negative numbers, the larger the absolute value, the smaller the number).
Translate back to original numbers: Translate the comparison back into the original numbers. $-\frac{22}{6}$ corresponds to $-\frac{11}{3}$ , $-\frac{15}{6}$ corresponds to $-2.5$ , and $-\frac{4}{6}$ corresponds to $-\frac{2}{3}$ . Therefore, the correct order is -\frac{11}{3} < -2.5 < -\frac{2}{3}.
Match correct order: Match the correct order to the given answer choices. The correct order we found is option (D) \frac{-11}{3} < -2.5 < \frac{-2}{3}.