Fill in each blank with an integer. (signed number)
- 3 - ( - 7 ) = - 3 + ____
- 4 - 2 = ____ + ( -2 )
- 3 - ( - 7 ) = - 3 + 7
- 4 - 2 = -2 + ( -2 )
- 3 - ( - 7 ) = - 3 + 7 = 4
- 4 - 2 = ____ + ( -2 )
To find the value of the blank, we can rearrange the equation:
____ = -4 - (-2)
When we subtract a negative number, it becomes addition:
____ = -4 + 2
Finally, we add the two numbers together:
____ = -2
To find the value of each blank, let's solve each equation step by step:
1. -3 - (-7) = -3 + ____
To solve this equation, we can simplify the expression inside the first set of parentheses:
-3 - (-7) becomes -3 + 7, because subtracting a negative number is the same as adding its positive counterpart. Therefore, the equation becomes:
-3 + 7 = ____.
Now, we can simply add -3 and 7:
-3 + 7 = 4.
So, the blank is filled with the integer 4.
2. -4 - 2 = ____ + (-2)
To solve this equation, we need to simplify the expression inside the second set of parentheses:
____ + (-2) becomes -2 (because adding a negative number is the same as subtracting its positive counterpart).
Now, the equation becomes:
-4 - 2 = -2.
To solve this equation, we can subtract -2 from -4:
-4 - 2 = -6.
So, the blank is filled with the integer -6.