The fraction bar represents division
A fraction is classified as being either a proper fractionor an improper fraction.
Proper fractions
Improper fractions
3
2
,
5
5
,
11
7
,
28
4
1
5
,
2
7
,
9
10
,
23
25
A
a
babB.
2 CHAPTER 1 The Real Number System
OBJECTIVES In everyday life, the numbers seen most often are the natural numbers,
the whole numbers,
and fractions,such as
and
The parts of a fraction are named as shown.
Fraction bar
4
7
15
7
.
2
3
,
1
2
,
0, 1, 2, 3, 4,Á,
1, 2, 3, 4,Á,
Fractions
1.1
1 Learn the definition
of factor.
2 Write fractions in
lowest terms.
3 Multiply and divide
fractions.
4 Add and subtract
fractions.
5 Solve applied
problems that
involve fractions.
6 Interpret data in a
circle graph.
Numerator
Denominator
Numerator is less thandenominator.
Value is less than 1.
A mixed numberis a single number that represents the sum of a natural number and
a proper fraction.
Mixed number
OBJECTIVE 1 Learn the definition of factor.In the statement
the numbers 3 and 6 are called factorsof 18. Other factors of 18 include 1, 2, 9, and 18.
The result of the multiplication, 18, is called the product.We can represent the prod-
uct of two numbers, such as 3 and 6, in several ways.
Products
We factora number by writing it as the product of two or more numbers. Fac-
toring is the reverse of multiplying two numbers to get the product.
Multiplication Factoring
Factors Product Product Factors
NOTE In algebra, a raised dot is often used instead of the symbol to indicate
multiplication because may be confused with the letter x.
A natural number greater than 1 is primeif it has only itself and 1 as factors.
“Factors” are understood here to mean natural number factors.
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37 First dozen prime numbers
*
*
3 # 6 = 18 18 = 3 # 6
3 *6, 3 #6, 132162 , 132 6, 3162
3 * 6 =18,
5
3
4
= 5 +
3
4
Numerator is greater than or equal
todenominator. Value is greater
than or equal to 1.
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