(Back to the tutorial on adding real numbers)

Beginning Algebra
Answer/Discussion to Practice Problems
on Adding Real Numbers


 

Answer/Discussion to 1a

-15 + 7


 
-15 + 7 = -8

The difference between 15 and 7 is 8 and the sign of 15 (the larger absolute value) is -, that is how we get the answer of -8. 


 
(return to problem 1a)

 


 

Answer/Discussion to 1b


 

*Mult. top and bottom of first fraction
by 2 to get the LCD of 10
 

*Add the numerators
and write over common denominator 10

 


 
The sum of the absolute values would be 13/10 and their common sign is -, that is how we get the answer of -13/10.

 
(return to problem 1b)


 

Answer/Discussion to 1c

3.2 + (-1.3) + (- 4.1)


 

*3.2 + (-1.3) = 1.9
*1.9 + (-4.1) = -2.2

 
(return to problem 1c)


 

Answer/Discussion to 1d

 |- 4 + (-3) + 2|


 
*- 4 + (-3) = -7
* - 7 + 2  = -5
*Evaluate the absolute value

 
(return to problem 1d)


 

Answer/Discussion to 2a

1/2


 
The opposite of 1/2 is -1/2, because both of these numbers have the same absolute value, but are on opposite sides of the origin on the number line.

 
(return to problem 2a)


 

Answer/Discussion to 2b

-20


 
The opposite of -20 is 20, because both of these numbers have the same absolute value, but are on opposite sides of the origin on the number line.

 
(return to problem 2b)


 

Answer/Discussion to 3a

-(- 4)


 
Since the opposite of a negative is a positive, our answer is 4.

 
(return to problem 3a)

 


 

Answer/Discussion to 3b


 
*Evaluate the absolute value
 
 

 


 
(return to problem 3b)

 


(Back to the tutorial on adding real numbers)


All contents copyright (C) 2001 - 2008, WTAMU and Kim Seward. All rights reserved.
Last revised on Jan. 8, 2002 by Kim Seward.