Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Simplify the following expression.
4(20+12)÷(5−3)
To simplify the expression 4(20+12)÷(5−3):
First, we simplify the parentheses by adding 20 and 12:
20 + 12 = 32
Now the expression becomes 4(32)÷(5−3).
Next, we simplify the multiplication by multiplying 4 and 32:
4 * 32 = 128
Now the expression becomes 128÷(5−3).
Lastly, we simplify the parentheses by subtracting 5 and 3:
5 - 3 = 2
The final simplified expression is 128÷2.
To find the result of the division, we divide 128 by 2:
128 ÷ 2 = 64
Therefore, the simplified expression is 64.
To simplify the expression 4(20+12)÷(5−3), follow the order of operations, which is also known as PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Step 1: Simplify inside the parentheses:
20 + 12 = 32
Step 2: Apply multiplication:
4 * 32 = 128
Step 3: Apply division:
(5 - 3) = 2
128 ÷ 2 = 64
The simplified expression is 64.