To solve this worksheet, we need to find the difference for each subtraction problem involving integers (positive and negative numbers).
Here is the step-by-step logic:
1.
Subtracting a positive number: Just like normal subtraction. If you have a positive number minus a bigger positive number, the answer is negative.
2.
Subtracting a negative number: This is the same as adding. Two negatives make a positive. For example, $5 - (-3)$ becomes $5 + 3$.
Let's calculate them one by one:
Left Column:
1) $-19 - (-2)$
* Change subtraction of negative to addition: $-19 + 2$
* Start at -19, move 2 steps right:
-17
2) $-2 - 4$
* Start at -2, move 4 steps left:
-6
3) $-3 - 13$
* Start at -3, move 13 steps left:
-16
4) $14 - (-20)$
* Change subtraction of negative to addition: $14 + 20$
* Add them up:
34
5) $7 - 8$
* Subtract 8 from 7:
-1
6) $-8 - (-13)$
* Change subtraction of negative to addition: $-8 + 13$
* Start at -8, move 13 steps right:
5
7) $15 - 13$
* Simple subtraction:
2
8) $5 - 13$
* Subtract 13 from 5:
-8
9) $-3 - 16$
* Start at -3, move 16 steps left:
-19
10) $-7 - 15$
* Start at -7, move 15 steps left:
-22
Right Column:
11) $3 - 18$
* Subtract 18 from 3:
-15
12) $-4 - 16$
* Start at -4, move 16 steps left:
-20
13) $8 - 7$
* Simple subtraction:
1
14) $0 - 7$
* Subtract 7 from 0:
-7
15) $3 - 5$
* Subtract 5 from 3:
-2
16) $7 - 4$
* Simple subtraction:
3
17) $-11 - 2$
* Start at -11, move 2 steps left:
-13
18) $-1 - (-17)$
* Change subtraction of negative to addition: $-1 + 17$
* Start at -1, move 17 steps right:
16
19) $19 - 19$
* A number minus itself is zero:
0
20) $8 - (-18)$
* Change subtraction of negative to addition: $8 + 18$
* Add them up:
26
Final Answer:
1) -17
2) -6
3) -16
4) 34
5) -1
6) 5
7) 2
8) -8
9) -19
10) -22
11) -15
12) -20
13) 1
14) -7
15) -2
16) 3
17) -13
18) 16
19) 0
20) 26
Parent Tip: Review the logic above to help your child master the concept of adding and subtracting negative numbers worksheet.
