Solve 21-(6-13): Order of Operations with Nested Subtraction

Question

21(613)= 21-(6-13)=

Video Solution

Solution Steps

00:00 Solve
00:04 When opening parentheses, minus multiplied by minus always equals plus
00:08 Therefore when opening the parentheses, in the end we get divided by C
00:13 Let's solve according to the order of operations from left to right
00:21 We'll use long addition
00:25 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 inner expression 6136 - 13
  • Step 2: Substitute the result from Step 1 into 21result from Step 121 - \text{result from Step 1}

Now, let's work through each step:

Step 1: Calculate 6136 - 13. In this calculation, we subtract 13 from 6. The result is 7-7, because when subtracting a larger number from a smaller one, the result is negative.

Step 2: Substitute 7-7 into the outer expression 21(7)21 - (-7). Since subtracting a negative is equivalent to adding the positive opposite, this simplifies to 21+721 + 7.

Now, compute 21+721 + 7, which equals 28.

Therefore, the solution to the problem is 2828.

Answer

28