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Chapter 0: Problem 106

In Exercises \(103-110,\) insert either \(<,>,\) or \(=\) in the shaded area to make a true statement. $$\left|\frac{5}{2}\right| \quad|-2.5|$$

Short Answer

Expert verified
The correct symbol to insert in the statement \(\left|\frac{5}{2}\right|\_\_\_\_\_\_\_\_\_ |2.5|\) to make it true is =.

Step by step solution

01

Find the Absolute Value

First, find the absolute values of both numbers. The absolute value of \(\frac{5}{2}\) is \(\frac{5}{2}\) or 2.5 and the absolute value of -2.5 is also 2.5.
02

Compare the Absolute Values

Next, compare the absolute values of the two numbers. Since 2.5 is equal to 2.5, the correct symbol to insert would be the equality symbol (=).

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