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Chapter 0: Problem 119

Use the order of operations to simplify each expression. $$\frac{(5-6)^{2}-2|3-7|}{89-3 \cdot 5^{2}}$$

Short Answer

Expert verified
-0.5

Step by step solution

01

Solve Inside Parentheses and Absolute Values

Calculate the values inside parentheses and the absolute value. So, you have \((5-6)^{2}\) which is \((-1)^{2}\) and gives 1. Also, you have \(|3-7|\), which is |-4| and gives 4.
02

Calculate powers

Calculate the powers. In this case, we only have \(5^{2}\), which is \(25\).
03

Perform Multiplication

Perform the multiplication operation. So, \(3 \cdot 25\) gives \(75\).
04

Perform Subtraction

Perform the subtraction operation. So, in the numerator \(1-2*4\) gives \(-7\), and in the denominator \(89-75\) gives 14.
05

Execute Division

Perform the division operation. So, \(-7/14\) gives \(-0.5\) or \(-1/2\).

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