Q. Order the following values from least to greatest.∣94∣∣−8∣−437131
Find Absolute Value: Determine the absolute value of ∣94∣.The absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore, ∣94∣ is simply 94.
Evaluate Mixed Number: Determine the absolute value of ∣−8∣.The absolute value of −8 is 8, because it is 8 units away from zero on the number line.
List Numbers: Evaluate the mixed number 7131. A mixed number consists of an integer and a fraction. To convert it to an improper fraction, multiply the whole number by the denominator of the fraction, add the numerator, and place the result over the original denominator. However, for ordering purposes, we can leave it as a mixed number since we are not performing arithmetic with it. 7131 is simply 71+31, which is slightly greater than 71.
Order Numbers: List the numbers in their current form.We have the following numbers: 94, 8, −43, and 7131.
Order Numbers: List the numbers in their current form.We have the following numbers: 94, 8, −43, and 7131.Order the numbers from least to greatest.The negative number will be the smallest, so −43 is the least. The next smallest is the absolute value of −8, which is 8. Then comes 7131, which is slightly more than 71. The largest number is 94.So the order from least to greatest is: −43, 8, 7131, 94.
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