(d) Multiply by the reciprocal.
Factor.=- Lowest terms
3
2
=-
7 # 3 # 3
7 # 3 # 2=-
63
42
-
9
14
,
3
7
=-
9
14
#^7
3
20 CHAPTER 1 Review of the Real Number System
Multiply numerators and
multiply denominators.NOW TRYEvery fraction has three signs: the sign of the numerator, the sign of the de-
nominator, and the sign of the fraction itself.
Equivalent Forms of a FractionThe fractions and are equivalent
Example:
The fractions and are equivalent
Example:^47 = --^47
yx yx^1 yZ^02.
- 4
7 =
4- 7 =-
4
7yx , xy , -xy 1 yZ 02.
NOW TRY
EXERCISE 7
Find each quotient.
(a) (b)
(c)-
6
5
, a-3
7
b- 10
3
3
8
- 10
- 5
NOW TRY ANSWERS
- (a) 2 (b)-^809 (c)^145
Complete solution available
on the Video Resources on DVD
1.2 EXERCISES
Concept Check Complete each statement and give an example.
1.The sum of a positive number and a negative number is 0 if the numbers are.
2.The sum of two positive numbers is a number.
3.The sum of two negative numbers is a number.
4.The sum of a positive number and a negative number is negative if the negative number
has the absolute value.
5.The sum of a positive number and a negative number is positive if the positive number has
the absolute value.
6.The difference between two positive numbers is negative if.
7.The difference between two negative numbers is negative if.
8.The product of two numbers with the same sign is.
9.The product of two numbers with different signs is.
10.The quotient formed by any nonzero number divided by 0 is , and the quo-
tient formed by 0 divided by any nonzero number is.Add or subtract as indicated. See Examples 1–3.
- 23.- 16 - 1 - 32 24.- 21 - 1 - 62 25.-12.31- 1 - 2.13 2