What is the simplified form of the following expression?
10[62 ÷ (32 – 22) + 5]
The simplified form of the given expression is: 90
To simplify the expression 10[62 ÷ (32 – 22) + 5], we follow the order of operations (also known as PEMDAS).
1. Simplify the expression inside the parentheses: 32 - 22 = 10.
The expression becomes: 10[62 ÷ 10 + 5]
2. Perform the division: 62 ÷ 10 = 6.2
The expression becomes: 10[6.2 + 5]
3. Add the numbers inside the brackets: 6.2 + 5 = 11.2
The expression becomes: 10[11.2]
4. Multiply 10 by 11.2: 10 * 11.2 = 112
Therefore, the simplified form of the expression 10[62 ÷ (32 – 22) + 5] is 112.