Solve (32-15-12)×34×12: Order of Operations Challenge

Question

(321512)3412=? (32-15-12)\cdot34\cdot12=\text{?}

Video Solution

Solution Steps

00:00 Solve
00:03 According to order of operations, we always solve parentheses first
00:09 According to order of operations, we always solve from left to right
00:14 Each time we'll address the leftmost operation and solve it
00:25 We'll arrange the equation so it's convenient for us to solve
00:30 We'll solve each multiplication separately and then continue solving
00:36 And this is the solution to the question

Step-by-Step Solution

According to the rules of the order of operations, we first solve the exercise within parentheses from left to right:

3215=17 32-15=17

1712=5 17-12=5

Now, we obtain the exercise:

5×34×12= 5\times34\times12=

According to the rules of the order of operations, since this is an exercise with only a multiplication operation, we rearrange the numbers to make the solution easier for us:

5×12×34= 5\times12\times34=

We solve the exercise from left to right:

5×12=60 5\times12=60

60×34=2040 60\times34=2040

Answer

2040