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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.\newline125,0.33,5,722 \frac{12}{5},-0.33, \sqrt{5},-\frac{7}{22} \newlineNote that for this question you can use your mouse to drag the numbers into their position

Full solution

Q. Order these numbers from least to greatest.\newline125,0.33,5,722 \frac{12}{5},-0.33, \sqrt{5},-\frac{7}{22} \newlineNote that for this question you can use your mouse to drag the numbers into their position
  1. Convert to decimal form: Convert all numbers to decimal form to make comparison easier.\newline(12)/(5)=2.4(12)/(5) = 2.4\newline0.33-0.33 is already in decimal form.\newline5\sqrt{5} is approximately 2.2362.236 (using a calculator or knowing the approximate value).\newline(7)/(22)=0.31818-(7)/(22) = -0.31818 (rounded to five decimal places for precision).
  2. Arrange in ascending order: Arrange the numbers in ascending order based on their decimal values.\newlineWe have the following numbers: 2.42.4, 0.33-0.33, approximately 2.2362.236, and 0.31818-0.31818.\newlineFirst, we identify the negative numbers, as they will be the smallest: 0.33-0.33 and 0.31818-0.31818.\newlineBetween these two, 0.33-0.33 is smaller because -0.33 < -0.31818.\newlineNext, we compare the positive numbers: 2.42.4 and approximately 2.2362.236.\newlineClearly, 0.33-0.3300.
  3. Combine final ordered list: Combine the ordered negative and positive numbers to create the final ordered list.\newlineThe ordered list from least to greatest is: 0.33-0.33, 0.31818-0.31818, approximately 2.2362.236, 2.42.4.