Solve the Arithmetic Expression: 124 - (38 - 92) - (56 + 33)

Question

124(3892)(56+33)=? 124-(38-92)-(56+33)=\text{?}

Video Solution

Solution Steps

00:00 Solve
00:03 Negative times positive always equals negative
00:08 Negative times negative always equals positive
00:14 Negative times positive always equals negative
00:22 Use the distribution law and split 124 into 120 plus 4
00:28 Use the distribution law and split 38 into 30 and 8
00:32 Use the distribution law and split 92 into 90 plus 2
00:35 Use the distribution law and split 56 into 50 and 6
00:44 Use the distribution law and split 33 into 30 and 3
00:47 Let's group the tens
01:05 Let's solve one operation at a time
01:20 And this is the solution to the question

Step-by-Step Solution

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

  • Step 1: Evaluate the expression inside the first parentheses, (3892) (38-92) .
  • Step 2: Evaluate the expression inside the second parentheses, (56+33) (56+33) .
  • Step 3: Substitute these results back into the main expression and simplify.

Now, let's work through each step:

Step 1: Calculate 3892 38 - 92 .
This results in 54-54.

Step 2: Calculate 56+33 56 + 33 .
This equals 8989.

Step 3: Substitute these values into the original expression:
124(54)89 124 - (-54) - 89 .

  • First, simplify 124(54) 124 - (-54) .
    Subtracting a negative is equivalent to adding its positive, so this becomes:
    124+54=178 124 + 54 = 178 .
  • Next, subtract 89:
    17889=89 178 - 89 = 89 .

Therefore, the solution to the problem is 89 89 .

Answer

89