Problem 112
Question
Use the order of operations to simplify each expression. $$10^{2}-100 \div 5^{2} \cdot 2-3$$
Step-by-Step Solution
Verified Answer
The simplified expression gives the result as 89.
1Step 1: 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.
2Step 2: 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.
3Step 3: 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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