Simplify: 6÷3⋅2−5+7⋅2

Answer 1

To simplify the given expression, follow the order of operations (also known as PEMDAS/BODMAS) which states that calculations should be performed in the following order: parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).

6÷3⋅2−5+7⋅2

First, perform the division:
6 ÷ 3 = 2

Now let's substitute this value back into the expression:
2⋅2−5+7⋅2

Then perform the multiplications:
2⋅2 = 4
7⋅2 = 14

Now substitute the values back into the expression:
4−5+14

Finally, perform the addition and subtraction:
4 − 5 = -1
-1 + 14 = 13

So, the simplified form of the expression 6÷3⋅2−5+7⋅2 is 13.