Use the order of operations to simplify 8+7⋅6−3⋅4+6⋅7 .(1 point) Responses 120 120 36 36 80 80 2,478
To simplify the expression, we must follow the order of operations (also known as PEMDAS).
1. First, we must perform any calculations inside parentheses or brackets. Since there are none in this expression, we can move to the next step.
2. Next, we calculate any exponents. Again, there are none in this expression.
3. Then, we perform any multiplication or division from left to right. Following this rule, we have: 7⋅6 = 42 and 3⋅4 = 12.
The expression now becomes: 8 + 42 - 12 + 6⋅7.
4. Lastly, we perform any addition or subtraction from left to right. Continuing to simplify, we have:
8 + 42 - 12 = 50 - 12 = 38.
The expression now becomes: 38 + 6⋅7.
Again, we perform multiplication:
6⋅7 = 42.
The expression now becomes: 38 + 42.
Lastly, we perform addition:
38 + 42 = 80.
Therefore, the simplified expression is 80.