Parentheses in simple Order of Operations: Using 0

In the order of operations, parentheses come before everything else.

We start by solving the inner parentheses in the subtraction operation:

$((3):3-1)\times4=$ We continue with the inner parentheses in the division operation and then subtraction:

$(1-1)\times4=$

We continue solving the subtraction exercise within parentheses and then multiply:

$0\times4=0$

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.

This simple rule is the order of operations which states that exponentiation precedes multiplication and division, which precede addition and subtraction, and that operations enclosed in parentheses precede all others,

Following the simple rule, multiplication comes before division and subtraction, therefore we calculate the values of the multiplications and then proceed with the operations of division and subtraction

$3\cdot5-15\cdot1+3-2= \\ 15-15+3-2= \\ 1$ Therefore, the correct answer is answer B.

This simple rule is the order of operations which states that multiplication precedes addition and subtraction, and division precedes all of them,

In the given example, a multiplication occurs between two sets of parentheses, thus we simplify the expressions within each pair of parentheses separately,

We start with simplifying the expression within the parentheses on the left, this is done in accordance with the order of operations mentioned above, meaning that multiplication comes before subtraction, we perform the multiplications in this expression first and then proceed with the subtraction operations within it, in reverse we simplify the expression within the parentheses on the right and perform the subtraction operation within them:

What remains for us is to perform the last multiplication that was deferred, it is the multiplication that occurred between the expressions within the parentheses in the original expression, we perform it while remembering that multiplying any number by 0 will result in 0:

Therefore, the correct answer is answer d.

This simple rule is the order of operations which states that multiplication and division come before addition and subtraction, and operations enclosed in parentheses come first,

In the given example of division between two given numbers in parentheses, therefore according to the order of operations mentioned above, we start by calculating the values of each of the numbers within the parentheses, there is no prohibition against calculating the result of the addition operation in the given number, for the sake of proper order, this operation is performed later:

$(3+2-1):(1+3)-1+5= \\ 4:4-1+5$In continuation of the principle that division comes before addition and subtraction the division operation is performed first and then the operations of subtraction and addition which were received in the given number and in the last stage:

$4:4-1+5= \\ 1-1+5=\\ 5$Therefore the correct answer here is answer B.