Q. Order the following values from least to greatest.∣4.5∣∣−2∣−73
Find absolute value of 4.5: Find the absolute value of ∣4.5∣.The absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore, ∣4.5∣=4.5.
Find absolute value of −2: Find the absolute value of ∣−2∣.Similarly, the absolute value of ∣−2∣ is 2 because ∣−2∣=2.
Compare absolute values and other numbers: Compare the absolute values and the other numbers.We have the absolute values ∣4.5∣=4.5 and ∣−2∣=2, along with the numbers −7 and 3. We need to compare these to order them from least to greatest.
Identify the least value: Identify the least value.The least value among the numbers is −7 because it is the only negative number and it is less than the absolute values and the positive number 3.
Order the remaining values: Order the remaining values.After −7, the next smallest value is the absolute value of ∣−2∣, which is 2. Following that, the next smallest is 3, and finally, the largest value is ∣4.5∣, which is 4.5.
Write the final ordered list: Write the final ordered list.The values in order from least to greatest are: −7, 2, 3, 4.5.
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