Solve 20·4:5·(3+0·7-1): Order of Operations Practice

Solve the following:

$20\cdot4:5\cdot(3+0\cdot7-1)=$

Let's simplify this expression while following the order of operations which states that exponents come before multiplication and division, which come before addition and subtraction, and that parentheses must be performed before all else.

We'll start by simplifying the expression inside the parentheses, since multiplication comes before addition and subtraction we'll first perform the multiplication in this expression, while remembering that multiplying any number by 0 will always yield the result 0. Then we'll perform the addition and subtraction operations within the parentheses:

$20\cdot4:5\cdot(3+0\cdot7-1)= \\ 20\cdot4:5\cdot(3+0-1)= \\ 20\cdot4:5\cdot2$

We'll continue and simplify the expression obtained in the last step. Since between multiplication and division operations there is no priority according to the order of operations, we'll perform the multiplication and division operations, etc., one after another from left to right:

$20\cdot4:5\cdot2 =\\ 80:5\cdot2 =\\ 16\cdot2 =\\ 32$

Let's summarize the steps of simplifying the given expression:

$20\cdot4:5\cdot(3+0\cdot7-1)= \\ 20\cdot4:5\cdot2 =\\ 16\cdot2 =\\ 32$

Therefore, the correct answer is answer A.