Algebra Worksheets - Complete Set With Answers Page 5
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72Rules for Combining Signed Numbers - 1.1, 1.2
Rule 1: If the signs of the numbers to be combined are the same, then add the numbers and
keep the common sign as part of your answer.
Examples:
+ 6 + 3 = + 9;
+ 5 + 3 = + 8;
- 5 - 4 = - 9;
- 6 - 4 = - 10
7 + 4 = + 11 (Notice that the 7 has no sign, so we know it is a + 7)
Exercise A:
1)
+ 6 + 7
2) - 9 - 6
3) 12 + 5
4)
- 16 - 4
5) - 8 - 3
6) + 7 + 7
7)
17 + 6
8) - 5 - 5
9) + 10 + 5
10)
- 8 - 4
11) 12 + 3
12) - 4 - 3
13)
+ 7 + 5
14) - 20 - 40
15) + 12 + 12
Rule 2: To combine numbers with different signs, subtract the numbers and take the sign of
the larger number for your answer.
Examples:
- 5 + 3 = - 2 (The answer is negative since 5 is greater than 3, and 5 is
negative.)
- 7 + 8 = + 1 (The answer is positive since 8 is greater than 7, and 8 is
positive.)
- 4 + 9 = + 5 (The answer is positive since 9 is greater than 4, and 9 is
positive.)
+10 - 13 = - 3 (The answer is negative since 13 is greater than 10, and
13 is negative.)
Exercise B:
1)
+ 5 - 4
2) -3 + 8
3) 17 - 7
4)
+12 - 6
5) + 15 - 15
6) - 7 + 7
7)
+ 4 - 7
8) -40 + 10
9) 44 - 11
10)
- 32 + 2
11) 12 + 3
12) - 3 + 15
13)
+ 5 - 10
14) - 9 + 9
15) 7 - 9
Exercise C:
1)
+ 6 + 5
2) - 4 + 4
3) - 8 + 8
4)
+ 15 - 25
5) + 19 - 19
6) 9 + 4
7)
- 15 - 4
8) 17 + 7
9) 0 - 17
10)
21 - 0
11) - 9 - 5
12) + 16 + 4
13)
+ 5 + 12
14) -18 + 6
15) 24 + 2
16)
12 - 6
17) + 20 - 15
18) - 6 - 12
19)
+ 16 + 10
20) - 7 + 7
3
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