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Order these numbers from least to greatest.

(12)/(5),-0.33,sqrt5,-(7)/(22)
Note that for this question you can use your mouse to drag the numbers into their position

Order these numbers from least to greatest. $\newline$ $\frac{12}{5},-0.33, \sqrt{5},-\frac{7}{22}$ $\newline$ Note that for this question you can use your mouse to drag the numbers into their position

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Compare and order decimals

Full solution

Q. Order these numbers from least to greatest.

\newline

\frac{12}{5},-0.33, \sqrt{5},-\frac{7}{22}

\newline

Note that for this question you can use your mouse to drag the numbers into their position

Convert to decimal form: Convert all numbers to decimal form to make comparison easier. $\newline$ $(12)/(5) = 2.4$ $\newline$ $-0.33$ is already in decimal form. $\newline$ $\sqrt{5}$ is approximately $2.236$ (using a calculator or knowing the approximate value). $\newline$ $-(7)/(22) = -0.31818$ (rounded to five decimal places for precision).
Arrange in ascending order: Arrange the numbers in ascending order based on their decimal values. $\newline$ We have the following numbers: $2.4$ , $-0.33$ , approximately $2.236$ , and $-0.31818$ . $\newline$ First, we identify the negative numbers, as they will be the smallest: $-0.33$ and $-0.31818$ . $\newline$ Between these two, $-0.33$ is smaller because $-0.33 < -0.31818$ . $\newline$ Next, we compare the positive numbers: $2.4$ and approximately $2.236$ . $\newline$ Clearly, $-0.33$ $0$ .
Combine final ordered list: Combine the ordered negative and positive numbers to create the final ordered list. $\newline$ The ordered list from least to greatest is: $-0.33$ , $-0.31818$ , approximately $2.236$ , $2.4$ .

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