# How do you evaluate #(83+ 17) \cdot 5- ( 83+ 17\cdot 5)#?

Following PEMDAS, you start off with parenthesis.

You still have to solve for the other parenthesis, so

There are no exponents, so now move on to multiplication

Now solve for the rest

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To evaluate ( (83 + 17) \cdot 5 - (83 + 17 \cdot 5) ), follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

First, perform the operations inside the parentheses/brackets:

- ( 83 + 17 = 100 )
- ( 17 \cdot 5 = 85 )

Next, apply multiplication and subtraction:

- ( 100 \cdot 5 - (100) )
- ( 500 - 100 = 400 )

Therefore, ( (83 + 17) \cdot 5 - (83 + 17 \cdot 5) = 400 ).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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