Use the order of operations to simplify 8+7⋅6−3⋅4+6⋅7
To simplify the expression using the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), let's break down each step:
1. Start with any operations inside parentheses or brackets (none in this case).
2. Evaluate any exponents (none in this case).
3. Move from left to right, performing multiplication and division as you go.
8 + 7⋅6 − 3⋅4 + 6⋅7
= 8 + 42 - 3⋅4 + 6⋅7
= 8 + 42 - 12 + 6⋅7
= 8 + 42 - 12 + 42
4. Finally, perform addition and subtraction from left to right.
8 + 42 - 12 + 42
= 50 - 12 + 42
= 38 + 42
= 80
So, the simplified expression is 80.