Order the following numbers from least to greatest. Put the least value on the left. {:[-4.75,-5.2,-(9)/(2)]:}

Convert to decimals: First, we need to compare the numbers -4.75, -5.2, and -9/2 to determine which is the smallest and which is the largest. To do this, we can convert all numbers to decimals for easier comparison.Convert -9/2: Convert -9/2 to a decimal. Since 9 divided by 2 is 4.5, -9/2 is -4.5.Compare decimals: Now we have three decimals: -4.75, -5.2, and -4.5. We can compare these directly. The number with the smallest absolute value but negative will be the greatest, and the number with the largest absolute value but negative will be the least.Compare -4.5 and -4.75: Comparing the numbers, we see that -4.5 is greater than -4.75 because it is less negative. And -4.75 is greater than -5.2 for the same reason.Final order: Therefore, the numbers in order from least to greatest are -5.2, -4.75, and -4.5.

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Q. Order the following numbers from least to greatest.

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Put the least value on the left.

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\begin{array}{l|l|l} -4.75 & -5.2 & -\frac{9}{2} \end{array}

Convert to decimals: First, we need to compare the numbers $-4.75$ , $-5.2$ , and $-\frac{9}{2}$ to determine which is the smallest and which is the largest. To do this, we can convert all numbers to decimals for easier comparison.
Convert $-\frac{9}{2}$ : Convert $-\frac{9}{2}$ to a decimal. Since $9$ divided by $2$ is $4.5$ , $-\frac{9}{2}$ is $-4.5$ .
Compare decimals: Now we have three decimals: $-4.75$ , $-5.2$ , and $-4.5$ . We can compare these directly. The number with the smallest absolute value but negative will be the greatest, and the number with the largest absolute value but negative will be the least.
Compare $-4.5$ and $-4.75$ : Comparing the numbers, we see that $-4.5$ is greater than $-4.75$ because it is less negative. And $-4.75$ is greater than $-5.2$ for the same reason.
Final order: Therefore, the numbers in order from least to greatest are $-5.2$ , $-4.75$ , and $-4.5$ .