Solve the Expression: 28÷(210÷15)-(12+42) Order of Operations Challenge

Question

28:(210:15)(12+42)=? 28:(210:15)-(12+42)=\text{?}

Video Solution

Solution Steps

00:00 Solve
00:05 Let's write division as a fraction
00:10 Always solve parentheses first
00:15 Division is also multiplication by the reciprocal
00:26 Let's break down 28 into factors 14 and 2
00:33 Let's break down 210 into factors 14 and 15
00:46 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Calculate the expression inside the parentheses by performing the division 210:15 210:15 .
  • Step 2: Add the numbers inside the other parentheses, 12+42 12 + 42 .
  • Step 3: Use the result from Step 1 to perform the division 28:(result of Step 1) 28:\text{(result of Step 1)} .
  • Step 4: Subtract the result of Step 2 from the result of Step 3.

Now, let's work through each step:
Step 1: Compute 210:15=14 210 : 15 = 14 .
Step 2: Compute 12+42=54 12 + 42 = 54 .
Step 3: Compute the division 28:14=2 28 : 14 = 2 .
Step 4: Finally, compute the subtraction 254=52 2 - 54 = -52 .

Therefore, the solution to the problem is 52 -52 .

Answer

52 -52