Use the order of operations to simplify 8+7⋅6−3⋅4+6⋅7.(1 point)
Responses
80
2,478
36
120
To simplify the given expression using the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction), follow these steps:
1. Start by identifying any parentheses in the expression. In this case, there are no parentheses.
2. Move on to the exponents or powers. There are no exponents in the expression.
3. Next, perform any multiplication and division from left to right.
Using these guidelines, let's simplify the expression step by step:
8 + 7 ⋅ 6 − 3 ⋅ 4 + 6 ⋅ 7
First, perform the multiplication/division from left to right:
8 + 42 − 3 ⋅ 4 + 6 ⋅ 7
8 + 42 − 12 + 6 ⋅ 7
Next, continue with the multiplication:
8 + 42 − 12 + 42
Now, perform the addition/subtraction from left to right:
50 + 42 − 12
Finally, perform the remaining addition/subtraction:
92 − 12
To arrive at the final answer, simply subtract 12 from 92:
92 - 12 = 80
Therefore, the simplified expression is equal to 80.