Solving the Expression: 5 is subtracted from 7 times the difference of 8 and 6

In this article, we will break down and solve the mathematical expression "5 is subtracted from 7 times the difference of 8 and 6." This example demonstrates the importance of understanding basic arithmetic operations, including subtraction, multiplication, and the order of operations.

Step-by-Step Solution

The expression can be broken down into simpler steps:

Calculate the difference of 8 and 6: 8 - 6 2 Multiply this difference by 7: 7 x 2 14 Subtract 5 from this result: 14 - 5 9

Therefore, the final answer is 9.

Additional Problem Variations

Let's explore a few different variations of the same expression to see how they can be solved:

9

8 - 6 2
7 x 2 14
14 - 5 9
ta da!

7 times the difference of 8 and 6 is 7 x 2 14. When 5 is subtracted from this, the answer is 9.

Y  9
Premises: Y  7(8 - 6) - 5
Calculations: The mathematic expression "5 is subtracted from 7 times the difference of 8 and 6" can be denoted by:
Y  7(8 - 6) - 5
Y  7 × 2 - 5
Y  14 - 5
Y  9
Proof:
If Y  9, then the inverse of the expression 7(8 - 6) - 5 shows
Y - 5  7(8 - 6)
9 - 5  7 × 2
4  14 verifies the working of the result Y  9 as an answer to the expression
C.H.

The difference between 8 and 6 is 8 - 6 2.
7 times from the difference is 7 x 2 14 Here, 2 is the difference.
When we subtract 5 from this 7 times of the difference is
14 - 5 9. The difference of 8 and 6 is 8 - 6 2.
7 times this difference is 7 x 2 14.
5 subtracted from from this is 14 - 5 9. Not much maths. This is more to test someoneu2019s English or their patience.
7(8 - 6) - 5 7 x 2 - 5 14 - 5 9

Conclusion

Understanding the order of operations and how to perform basic arithmetic is essential for solving mathematical expressions like this one. By following the steps methodically, we can easily determine the answer to the problem. This type of problem is more about clarity and adherence to the rules of arithmetic rather than complex mathematical concepts.

Frequently Asked Questions

What is the difference between 8 and 6?

The difference between 8 and 6 is 2, calculated as 8 - 6 2.

What is the value of 7 times the difference of 8 and 6?

The value of 7 times the difference of 8 and 6 is 14, calculated as 7 x 2 14.

What is the final answer when 5 is subtracted from the product of 7 and the difference?

When 5 is subtracted from the product of 7 and the difference, the answer is 9, calculated as 14 - 5 9.

For further practice and more mathematical problems, check out our range of educational resources and practice exercises.