Evaluating Expressions: (8-13)×7 and 8-(13×7)
In this article, we will evaluate two mathematical expressions: (8-13)×7
and 8-(13×7)
. We will follow the order of operations (PEMDAS) to ensure accurate calculations.
Expression 1: (8-13)×7
To evaluate this expression, we need to follow the order of operations:
- Evaluate the expression inside the parentheses:
8-13 = -5
- Multiply the result by 7:
-5 × 7 = -35
So, (8-13)×7 = -35
.
Expression 2: 8-(13×7)
To evaluate this expression, we need to follow the order of operations:
- Evaluate the expression inside the parentheses:
13×7 = 91
- Subtract the result from 8:
8 - 91 = -83
So, 8-(13×7) = -83
.
Conclusion
In conclusion, we have evaluated two mathematical expressions: (8-13)×7
and 8-(13×7)
. The results are -35
and -83
, respectively. It is essential to follow the order of operations to ensure accurate calculations when evaluating expressions with multiple operations.