Solve the Nested Arithmetic: What's the Result of 12 - (75 - (48 + 39))?

12(75(48+39))=? 12-(75-(48+39))=\text{?}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:07 Let's solve the problem together.
00:10 First, always solve the inside of parentheses. Even if there are more parentheses inside.
00:17 Remember, when you multiply a negative number by a positive number, the result is always negative.
00:34 And when you multiply two negative numbers, the result is always positive.
00:51 We'll use the commutative law to rearrange for easier solving. Commutative means the order doesn't change the result.
01:06 Now, solve the equation from left to right, one step at a time.
01:22 And that's how you find the solution! Great job!

Step-by-step written solution

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1

Understand the problem

12(75(48+39))=? 12-(75-(48+39))=\text{?}

2

Step-by-step solution

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

  • Step 1: Evaluate the innermost parentheses
  • Step 2: Substitute the result and evaluate the next operation
  • Step 3: Perform the outer subtraction

Let's perform these calculations:

Step 1: Calculate the innermost expression: 48+39 48 + 39 . 48+39=87 48 + 39 = 87 .

Step 2: Substitute back into the larger expression: 7587 75 - 87 . This results in 7587=12 75 - 87 = -12 .

Step 3: Substitute this result into the outer expression: 12(12) 12 - (-12) . Since subtracting a negative is equivalent to addition: 12+12=24 12 + 12 = 24 .

Therefore, the solution to the problem is 24 24 .

3

Final Answer

24

Practice Quiz

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\( 100-(5+55)= \)

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