1 + 7 - (-7)

could you clarify how to do this step by step

When you add two negatives, the sum is always positive.

1 + 7 + 7 = ?

Study this site carefully.

http://www.mathsisfun.com/positive-negative-integers.html

1 + 7 - (-7)

1+ 7 = 8
8 - (-7)
convert
8 +(7)
= 15
is
that right? 15

Right.

Of course! To simplify the expression step by step, follow these steps:

1. Start with the expression: 1 + 7 - (-7).
2. According to the order of operations, first deal with the parentheses (if any). Here we have (-7) enclosed in parentheses with a negative sign in front of it.
3. To simplify (-7), remember that a negative sign in front of a number can be thought of as multiplying the number by -1. So, (-7) can be rewritten as -1 * 7.
- The expression now becomes: 1 + 7 - (-1 * 7).
4. The next step is to simplify the multiplication: -1 * 7 equals -7.
- The expression further simplifies to: 1 + 7 - (-7).
5. Now, you can proceed with addition and subtraction, working from left to right. Start with 1 + 7:
- The sum of 1 and 7 is 8. The expression becomes: 8 - (-7).
6. For subtraction, remember that subtracting a negative number is the same as adding its opposite. Hence, -7 becomes +7.
- The expression can now be simplified to: 8 + 7.
7. Finally, perform the addition: 8 + 7 equals 15.
- The simplified expression becomes: 15.

Therefore, 1 + 7 - (-7) simplifies to 15.