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Simplify the following expression.
4(20+12)÷(5−3)
To simplify the expression 4(20+12)÷(5−3), we will follow the order of operations, which states that we should first perform any calculations inside parentheses, then any multiplications or divisions from left to right, and finally any additions or subtractions from left to right.
1. First, we solve the expression inside the parentheses: 20 + 12 = 32.
2. The expression now becomes 4(32)÷(5−3).
3. Next, we perform the multiplication: 4 * 32 = 128.
4. The expression is now 128÷(5−3).
5. Finally, we solve the subtraction: 5 − 3 = 2.
6. The expression becomes 128÷2.
7. Performing the division, 128 ÷ 2 = 64.
Therefore, the simplified expression is 64.
To simplify the expression 4(20+12)÷(5−3), follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders, Multiplication/Division, and Addition/Subtraction:
1. Start by simplifying the parentheses/brackets:
20 + 12 = 32
2. Substitute the simplified parentheses/brackets into the expression:
4(32)÷(5−3)
3. Perform multiplication:
4 * 32 = 128
4. Simplify the subtraction in the parentheses:
5 - 3 = 2
5. Substitute the simplified parentheses into the expression:
128÷2
6. Perform division:
128 ÷ 2 = 64
Therefore, the simplified expression is 64.