Questions: Find the value of the following expression. -5.3

Find the value of the following expression. -5.3
Transcript text: Find the value of the following expression. \[ -|5.3| \]
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Solution

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Solution Steps

To find the value of the expression \(-|5.3|\), we need to first calculate the absolute value of 5.3, which is 5.3 itself since it is already positive. Then, we apply the negative sign to the result.

Step 1: Calculate the Absolute Value

To solve the expression \(-|5.3|\), we first calculate the absolute value of \(5.3\). The absolute value of a number is its distance from zero on the number line, without considering direction. Since \(5.3\) is already positive, its absolute value is: \[ |5.3| = 5.3 \]

Step 2: Apply the Negative Sign

Next, we apply the negative sign to the absolute value calculated in Step 1. This gives us: \[ -|5.3| = -5.3 \]

Final Answer

\(\boxed{-5.3}\)

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