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Simplify the following expression.
4(20+12)÷(5−3)
(2 points)
To simplify the expression 4(20+12)÷(5−3), we need to follow the order of operations, which is parentheses first, then multiplication/division from left to right, and finally addition/subtraction from left to right.
First, we simplify what's inside the parentheses:
20 + 12 = 32
Next, we multiply 4 by 32:
4 * 32 = 128
Finally, we divide 128 by (5 - 3):
5 - 3 = 2
128 ÷ 2 = 64
Therefore, the simplified expression is 64.
To simplify the expression, follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders, Multiplication/Division, and Addition/Subtraction.
Step 1: Simplify the expression inside the parentheses.
20 + 12 = 32
Step 2: Multiply the result from Step 1 by 4.
4(32) = 128
Step 3: Simplify the expression inside the parentheses following the order of operations.
5 - 3 = 2
Step 4: Divide the result from Step 2 by the result from Step 3.
128 ÷ 2 = 64
Therefore, the simplified expression is 64.