Which inequality correctly orders the numbers -(8)/(5),-5, and 0.58? Choose 1 answer: (A) 0.58 < -5 < -(8)/(5) (B) -(8)/(5) < -5 < 0.58 (C) 0.58 < -(8)/(5) < -5 (D) -5 < -(8)/(5) < 0.58

Convert to decimals: First, convert all numbers to decimals to make it easier to compare them. The number -(8)/(5) can be converted to a decimal by dividing 8 by 5 and then applying the negative sign. Calculation: -(8)/(5) = -1.6Compare decimal values: Next, we compare the decimal values of each number. We already have -1.6 for -(8)/(5), -5 remains the same as it is already a decimal, and 0.58 is already in decimal form.Order numbers: Now, we order the numbers from least to greatest. We know that 0.58 is positive, so it is greater than any negative number. Between -1.6 and -5, -1.6 is greater because it is closer to zero. So the correct order is -5 < -(8)/(5) < 0.58.Match with answer choices: Finally, we match our ordered numbers to the answer choices provided. The correct order we found is -5 < -(8)/(5) < 0.58, which corresponds to answer choice (D).

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Which inequality correctly orders the numbers
-(8)/(5),-5, and
0.58?
Choose 1 answer:
(A)
0.58 < -5 < -(8)/(5)
(B)
-(8)/(5) < -5 < 0.58
(C)
0.58 < -(8)/(5) < -5
(D)
-5 < -(8)/(5) < 0.58

Which inequality correctly orders the numbers $-\frac{8}{5},-5$ , and $0$ . $58$ ? $\newline$ Choose $1$ answer: $\newline$ (A) 0.58<-5<-\frac{8}{5} $\newline$ (B) -\frac{8}{5}<-5<0.58 $\newline$ (C) 0.58<-\frac{8}{5}<-5 $\newline$ (D) -5<-\frac{8}{5}<0.58

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Full solution

Q. Which inequality correctly orders the numbers

-\frac{8}{5},-5

, and

0

58

\newline

Choose

1

answer:

\newline

(A)

0.58<-5<-\frac{8}{5}

\newline

(B)

-\frac{8}{5}<-5<0.58

\newline

(C)

0.58<-\frac{8}{5}<-5

\newline

(D)

-5<-\frac{8}{5}<0.58

Convert to decimals: First, convert all numbers to decimals to make it easier to compare them. The number $-(8)/(5)$ can be converted to a decimal by dividing $8$ by $5$ and then applying the negative sign. $\newline$ Calculation: $-(8)/(5) = -1.6$
Compare decimal values: Next, we compare the decimal values of each number. We already have $-1.6$ for $-\frac{8}{5}$ , $-5$ remains the same as it is already a decimal, and $0.58$ is already in decimal form.
Order numbers: Now, we order the numbers from least to greatest. We know that $0.58$ is positive, so it is greater than any negative number. Between $-1.6$ and $-5$ , $-1.6$ is greater because it is closer to zero. $\newline$ So the correct order is -5 < -\frac{8}{5} < 0.58.
Match with answer choices: Finally, we match our ordered numbers to the answer choices provided. The correct order we found is -5 < -\frac{8}{5} < 0.58, which corresponds to answer choice $(D)$ .