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Chapter 0: Problem 112

Use the order of operations to simplify each expression. $$10^{2}-100 \div 5^{2} \cdot 2-3$$

Short Answer

Expert verified
The simplified expression gives the result as 89.

Step by step solution

01

Perform operations concerning Indices

First perform the operations involving exponents (indices). So, we calculate \(10^{2}\) and \(5^{2}\) that gives us 100 and 25 respectively.
02

Perform Division and Multiplication

Next, perform the division and multiplication. First, evaluate \(100 \div 25\) which equals to 4. Then, multiply this result by 2 to get 8.
03

Perform the Subtraction

Finally, perform the subtraction operation. Begin by subtracting 8 from 100 which equals 92. Then, subtract 3 from 92 to get the final result 89.

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