Evaluate:
40 – 4(2 + 3 x 2)
To evaluate the expression, we follow the order of operations, which is commonly remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
First, we solve within the parentheses:
2 + 3 x 2 = 2 + 6 = 8
Next, we multiply 4 by 8:
4(2 + 3 x 2) = 4(8) = 32
Finally, we subtract 32 from 40:
40 - 32 = 8
Therefore, 40 – 4(2 + 3 x 2) = 8.
To evaluate the expression 40 – 4(2 + 3 x 2), we need to follow the order of operations, also known as PEMDAS. PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Let's break down the expression step-by-step:
1. Evaluate the expression inside the parentheses (2 + 3 x 2):
2 + 3 x 2 = 2 + 6 = 8
2. Replace the parentheses with the evaluated value:
40 – 4(8)
3. Perform the multiplication:
4(8) = 32
4. Replace the multiplication with the result:
40 - 32
5. Perform the subtraction:
40 - 32 = 8
Therefore, the evaluation of the expression 40 – 4(2 + 3 x 2) is 8.