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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 1 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