Finding the difference of a sum involves first calculating the sum and then subtracting a number from that sum, or subtracting the sum from another number. The reference video explains finding the difference between two numbers by subtracting the smaller from the larger. However, we'll expand that to include sums.
Here's a breakdown of how to do it:
Steps to Find the Difference of a Sum
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Calculate the Sum: First, determine the sum of the numbers you're adding together.
- For example, if the sum is "6 + 2", then the sum equals 8.
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Determine What to Subtract (or Be Subtracted From): Identify the number or sum that you will use to find the difference. There are two scenarios:
- Subtract from the sum: You might need to subtract another number from the sum you just calculated.
- Subtract the sum from another number: Alternatively, you might subtract the sum from a different number.
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Perform the Subtraction: Subtract the smaller number (or sum) from the larger number (or sum) to find the difference.
Examples
Example 1: Subtracting from the sum
- Problem: Find the difference of the sum of 6 and 2, minus 3.
- Solution:
- Calculate the sum: 6 + 2 = 8
- Subtract from the sum: 8 - 3 = 5
- The difference is 5.
Example 2: Subtracting the sum from a number
- Problem: Find the difference of 15 minus the sum of 1 and 4.
- Solution:
- Calculate the sum: 1 + 4 = 5
- Subtract the sum from 15: 15 - 5 = 10
- The difference is 10.
In the video reference, the basic idea of finding the difference involves subtraction. The key is to extend this concept to sums by calculating the sum first, and then performing the subtraction to find the difference.