Which inequality correctly orders the numbers -(5)/(4),-2(1)/(2), and -0.1 ? Choose 1 answer: (A) -0.1 > -2(1)/(2) > -(5)/(4) (B) -2(1)/(2) > -(5)/(4) > -0.1 (c) -(5)/(4) > -2(1)/(2) > -0.1 (D) -0.1 > -(5)/(4) > -2(1)/(2)

Convert to Decimals: First, let's convert all the numbers to decimals to make it easier to compare them. -5/4 is already a fraction, which is equal to -1.25 when converted to a decimal. -2(1)/(2) is -2.5 when converted to a decimal because 2(1)/(2) is the same as 2 + 1/2, which is 2.5. -0.1 is already in decimal form.Compare Decimals: Now, let's compare the decimals. We know that -0.1 is the smallest negative number because it is closest to zero. Next, we compare -1.25 and -2.5. Since -1.25 is closer to zero, it is greater than -2.5.Order Negative Numbers: Therefore, the correct order from greatest to least (keeping in mind these are negative numbers, so ＂greatest＂ means closest to zero) is: -0.1 > -1.25 > -2.5Match to Answer Choices: Now, let's match our ordered numbers to the original forms in the answer choices: -0.1 is the same in the answer choices. -1.25 corresponds to -(5)/(4). -2.5 corresponds to -2(1)/(2).Match to Inequality: The inequality that matches our ordered list is: -0.1 > -(5)/(4) > -2(1)/(2) This corresponds to answer choice (D).

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Which inequality correctly orders the numbers
-(5)/(4),-2(1)/(2), and -0.1 ?
Choose 1 answer:
(A)
-0.1 > -2(1)/(2) > -(5)/(4)
(B)
-2(1)/(2) > -(5)/(4) > -0.1
(c)
-(5)/(4) > -2(1)/(2) > -0.1
(D)
-0.1 > -(5)/(4) > -2(1)/(2)

Which inequality correctly orders the numbers $-\frac{5}{4},-2 \frac{1}{2}$ , and $-0$ . $1$ ? $\newline$ Choose $1$ answer: $\newline$ (A) -0.1>-2 \frac{1}{2}>-\frac{5}{4} $\newline$ (B) -2 \frac{1}{2}>-\frac{5}{4}>-0.1 $\newline$ (C) -\frac{5}{4}>-2 \frac{1}{2}>-0.1 $\newline$ (D) -0.1>-\frac{5}{4}>-2 \frac{1}{2}

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Q. Which inequality correctly orders the numbers

-\frac{5}{4},-2 \frac{1}{2}

, and

-0

1

\newline

Choose

1

answer:

\newline

(A)

-0.1>-2 \frac{1}{2}>-\frac{5}{4}

\newline

(B)

-2 \frac{1}{2}>-\frac{5}{4}>-0.1

\newline

(C)

-\frac{5}{4}>-2 \frac{1}{2}>-0.1

\newline

(D)

-0.1>-\frac{5}{4}>-2 \frac{1}{2}

Convert to Decimals: First, let's convert all the numbers to decimals to make it easier to compare them. $\newline$ $-\frac{5}{4}$ is already a fraction, which is equal to $-1.25$ when converted to a decimal. $\newline$ $-2\left(\frac{1}{2}\right)$ is $-2.5$ when converted to a decimal because $2\left(\frac{1}{2}\right)$ is the same as $2 + \frac{1}{2}$ , which is $2.5$ . $\newline$ $-0.1$ is already in decimal form.
Compare Decimals: Now, let's compare the decimals. We know that $-0.1$ is the smallest negative number because it is closest to zero. Next, we compare $-1.25$ and $-2.5$ . Since $-1.25$ is closer to zero, it is greater than $-2.5$ .
Order Negative Numbers: Therefore, the correct order from greatest to least (keeping in mind these are negative numbers, so ＂greatest＂ means closest to zero) is: -0.1 > -1.25 > -2.5
Match to Answer Choices: Now, let's match our ordered numbers to the original forms in the answer choices: $\newline$ $-0.1$ is the same in the answer choices. $\newline$ $-1.25$ corresponds to $-\frac{5}{4}$ . $\newline$ $-2.5$ corresponds to $-2\frac{1}{2}$ .
Match to Inequality: The inequality that matches our ordered list is: $\newline$ -0.1 > -\frac{5}{4} > -2\frac{1}{2} $\newline$ This corresponds to answer choice (D).