Order the following numbers from greatest to least. Put the greatest number on the left. {:[-5.6,0,(5)/(6),-(6)/(5)]:}

Identify Numbers: Identify the numbers to be ordered. We have the numbers -5.6, 0, 5/6, and -6/5.Compare Numbers: Compare the numbers to determine their order. We know that any positive number is greater than any negative number, so 5/6 is greater than both -5.6 and -6/5. The number 0 is greater than any negative number but less than any positive number. Therefore, 5/6 is the greatest number, followed by 0.Compare Negative Numbers: Compare the negative numbers. We need to determine which is greater between -5.6 and -6/5. To compare these, we can convert -6/5 to a decimal. -6/5 = -1.2 Now we can see that -1.2 is greater than -5.6.Arrange Numbers: Arrange the numbers from greatest to least. The greatest number is 5/6, followed by 0, then -1.2 (which is -6/5), and finally -5.6.

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Algebra 2

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Q. Order the following numbers from greatest to least.

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Put the greatest number on the left.

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-5.6 \quad 0 \quad \frac{5}{6} \quad -\frac{6}{5}

Identify Numbers: Identify the numbers to be ordered. $\newline$ We have the numbers $-5.6$ , $0$ , rac{5}{6}, and -rac{6}{5}.
Compare Numbers: Compare the numbers to determine their order. $\newline$ We know that any positive number is greater than any negative number, so $\frac{5}{6}$ is greater than both $-5.6$ and $-\frac{6}{5}$ . The number $0$ is greater than any negative number but less than any positive number. Therefore, $\frac{5}{6}$ is the greatest number, followed by $0$ .
Compare Negative Numbers: Compare the negative numbers. We need to determine which is greater between $-5.6$ and $-\frac{6}{5}$ . To compare these, we can convert $-\frac{6}{5}$ to a decimal. $-\frac{6}{5} = -1.2$ Now we can see that $-1.2$ is greater than $-5.6$ .
Arrange Numbers: Arrange the numbers from greatest to least. $\newline$ The greatest number is $\frac{5}{6}$ , followed by $0$ , then $-1.2$ (which is $-\frac{6}{5}$ ), and finally $-5.6$ .