Download Rational Numbers

CC Math I Standards
I. RATIONAL NUMBERS:
NUMERATOR
DENOMINATOR
PRACTICE: Identify the rational numbers and write each rational in a fraction form.
13
8)

3
4
9)
0.333…
1)
3
5)
2)
.111259877896635…
6)

3)
0.25
7)
2
3
4)
II.
0
10) – 5
11) – 0.05
SIMPLIFYING (reducing) A RATIONAL NUMBER
FACTORS are numbers that multiply together to equal a value.
Examples:
 15 has factors of 3 and 5 because 3*5 = 15
 12 has factors of 2 and 6 because 2*6 = 12, AND factors of 3 and 4 because 3*4 = 12
To Simplify or Reduce a rational number: Find common factors of the numerator (top) and denominator (bottom)
EXAMPLES:
30
(1)
40
(2)
III.
35
25
(3)
14
49
(5)
11
17
(4)
36
72
(6)
42
144
COMPARING RATIONAL NUMBERS: ORDERING from LEAST to GREATEST.
Method One: Find the ___________________ of each rational number to compare.
2
1 1
,0.6, , ,1.2
Example:
3
4 2
Method Two: Make every rational you are comparing have a _____________ denominator and the
fraction with the _______________ numerator is the greatest.
Example:
6 4 5
,
,
5 3 4
PRACTICE: Write in order from least to greatest.
5 7 3
2 1 2
1) , ,
2) , ,
6 8 4
3 2 7
4)
IV.



1)
3 1
, ,0 .8
4 5
3) 
1 4 1
, ,
3 5 6
1
6)  ,.07,1.3
2
5) 0.125,0.4,.4
ADDING AND SUBTRACTING RATIONAL NUMBERS
Step 1: Find COMMON DENOMINATOR for fractions
Step 2: Add and Subtract the NUMERATORS ONLY
Decimal numbers can be added or subtracted normally
2 3

5 10
2)
3 5

6 4
3)
1 1  3
   
2 8  4
6)  7.9  8.05
4 5  7
7)      
3 8  3
8)
1 2

7 9
4) 6.2  ( 9.4)
9)
1  5
  
3  9
5)  1.5  2.93
10) 6.81  ( 4.65)  5.37
CC Math I Standards
Name: ___________________________________ Period: _____
RATIONAL NUMBER HOMEWORK
Section 1: Integer Math Practice
1) 13 + -12
6) -12 + ( -7)
11) -34 ÷ 2
2) -5 + 6
7) 8 * 8
3) 3 – (-7)
8) -5 * 7
12) 54 ÷ 9
13) -18 ÷ -6
4) -7 – (- 3)
9) (-3) (-4)
14) 36 ÷ -3
5) (-6) – 8
10) -2 * -11
Section 2: Simplify the given Fractions
36
14
3) 
1)
54
35
2) 
68
12
4)
18
63
Section 3: Add or Subtract Rational Numbers
9
2
1 1

1)
3) 
15 15
5 7
3  3
2)    
4  2
4) 
5 2

12 3
5) 
125
55
6)
72
6
5)
2
1

18
6
7 4 1
6)  
5 3 2