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Adding Real Numbers Worksheet

Adding Real Numbers Worksheet
  • Page 1
 1.  
Find the sum.
(- 5 9) + 2 9 + (- 7 9)
a.
- 10 9
b.
- 1 9
c.
- 14 9


Solution:

(- 5 / 9) + 2 / 9+ (- 7 / 9)
[Original Expression.]

= (- 5 / 9) + (- 7 / 9) + 2 / 9
[Use commutative property.]

= ((- 5 / 9 ) + (- 7 / 9)) + (2 / 9)
[Use associative property.]

= (- 12 / 9) + (2 / 9)
[Add.]

= - 10 / 9


Correct answer : (2)
 2.  
Find the sum.
21 5 + 12 5 + 41 5
a.
71 5
b.
74 5
c.
75 5
d.
14 5


Solution:

= 115 + 75 + 215
21 / 5 + 12 / 5 + 41 / 5
[Write mixed fraction as improper fraction.]

= (115 + 75 ) + (215)
[Use associative property.]

= 185 + 215
[Add.]

= 395
[Write improper fraction as mixed fraction.]

The sum is 74 / 5.


Correct answer : (2)
 3.  
Find the sum.
(- 5 7) + 2 7 + 9 7
a.
6 7
b.
- 7 6
c.
- 6 7
d.
7 6


Solution:

(- 5 / 7) + 2 / 7 + 9 / 7
[Original Expression.]

= (- 5 / 7) + 9 / 7 + 2 / 7
[Use commutative property.]

= (- 5 / 7 + 9 / 7) + (2 / 7)
[Use associative property.]

= (4 / 7) + (2 / 7)
[Add.]

= 6 / 7


Correct answer : (1)
 4.  
Find the sum.
15 + 39
a.
44
b.
74
c.
54
d.
64


Solution:

15 + 39
[To add two numbers with same sign, first add their absolute values.]

= 54
[Attach the common sign.]


Correct answer : (3)
 5.  
Find the sum.
16 + (- 64)
a.
48
b.
- 48
c.
58
d.
63


Solution:

To add two numbers with opposite sign, first subtract the smaller absolute value from the larger one and attach the sign of the larger absolute value.

16 + (- 64)

= - ( | - 64 | - | 16 | )

= - (64 - 16)
[Find the absolute value of the numbers.]

= - 48


Correct answer : (2)
 6.  
Find the sum.
- 52 + (- 19)
a.
- 71
b.
- 76
c.
76
d.
71


Solution:

To add two numbers with same sign, first add their absolute values and attach the common sign.

- 52 + (- 19)

= - (| - 52 | + | - 19 |)

= - (52 + 19)
[Find absolute value of the numbers.]

= - 71


Correct answer : (1)
 7.  
Add:
(- 8 + 6) + 13
a.
14
b.
16
c.
8
d.
11


Solution:

(- 8 + 6) + 13 = - 8 + (6 + 13)
[Use associative property.]

= - 8 + 19
[Add 6 and 13.]

= 11
[Subtract their absolute values and attach the sign of the number with larger absolute value.]


Correct answer : (4)
 8.  
Add:
- 0.9 + 8 + 0.9
a.
7.1
b.
8
c.
9.8
d.
8.9


Solution:

- 0.9 + 8 + 0.9 = - 0.9 + 0.9 + 8
[Use commutative property.]

= (- 0.9 + 0.9) + 8
[Use associative property.]

= 0 + 8
[Use inverse property.]

= 8
[Use identity property.]


Correct answer : (2)
 9.  
Add:
8 + (- 5 6) + (- 1 6)
a.
7
b.
8
c.
10
d.
4


Solution:

8 + (- 56) + (- 16) = 8 + [(- 56) + (- 16)]
[Use associative property.]

= 8 + (- 1)
[Add - 5 / 6 and - 1 / 6.]

= 7
[Add 8 and - 1.]


Correct answer : (1)
 10.  
Find the sum.
(- 2 5) + (- 3 5) + 2 5
a.
- 1 3
b.
- 3 5
c.
- 6 7
d.
- 4 5


Solution:

(- 2 / 5) + (- 3 / 5) + 2 / 5
[Original Expression.]

= - 2 / 5 + 2 / 5 - 3 / 5
[Use commutative property.]

= (- 2 / 5 + 2 / 5) + (- 3 / 5)
[Use associative property.]

= 0 + (- 3 / 5)
[Use inverse property.]

= - 3 / 5
[Use identity property.]


Correct answer : (2)

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