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An Introduction to the Whole Numbers
1. Finding all factors of a whole number:
24
2. Prime factorization: 126
3. The least common multiple (LCM):
12, 15, 18
4. The greatest common factor (GCF):
12, 18, 30
5. Order of operations: simplify
1)
10 + 3[24 – 3(5 – 2)]
6 ⋅ 2 + 3⋅ 7
2)
52 − 2(7)
6. Graph whole numbers on a number line: 1, 4, 6, 9
0
1
2
3
4
5
6
7
8
9
10
11
12 13
14
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An Introduction to the Whole Numbers
7. Solving simple equations (4 cases): solve the variable
1)
15 = x + 3
2)
6y = 96
3)
n – 9 = 11
p
= 16
4)
5
8. Round whole numbers: round 2,683,503 to the nearest
ten thousand
3
1
9. Convert
to decimal
5
10. Convert decimal number, 1.05 to fraction
2
An Introduction to the Whole Numbers
11. Convert decimal, 1.12 to percent.
12. Convert percent, 36.52% to decimal
13. Convert fraction,
3
8
, to percent
14. Convert percent to 20.5% fraction. Simplify to the
lowest form
3
An Introduction to the Whole Numbers
•
Read table, graphs
•
Laws of Addition and Multiplication
4
An Introduction to the Whole Numbers
1997
1999
2001
2003
2005
2007
Number of
women members
51
56
60
59
67
71
House of Representatives
80
70
60
Bar Graph
50
40
30
20
10
1997 1999 2001 2003 2005 2007
Number of woman members
Year
Number of woman members
3. Tables and Graphs
80
70
60
year
Line Graph
50
40
30
20
10
1997 1999 2001 2003 2005 2007
year
5
An Introduction to the Whole Numbers
1. Laws of Addition and Multiplication
•
•
•
Commutative property of addition
a+b=b+a
Associative property of addition
(a + b) + c = a + (b + c)
Addition property of 0
a + 0 = a and 0 + a = a
6
An Introduction to the Whole Numbers
1. Laws of Addition and Multiplication
•
•
•
Commutative property of multiplication
a·b=b·a
Associative property of multiplication
(a · b) · c = a · (b · c)
Multiplication property of 0 and 1
a·0=0
and 0 · a = a
a·1=1
and 1 · a = a
7