Algebra 2: 1'2, Properties of Real Numbers p' 13

1
Algebra 2 1.2, Properties of Real Numbers (p. 13)

• N Natural (1,2,3, )
• W Whole (0,1,2,3,)
• Z Integers ( -2,-1,0,1,2,)
• Q Rationals (m/n m,n integers)
• I Irrational ( , 3.45978)
• R Real (all rational and irrational)

2
Real Numbers, R


Q
  I
IMAGINARY
Z

W
N
3
Algebra 2 1.2, Properties of Real Numbers (p. 15)
4
Algebra 2 1.2, Properties of Real Numbers (p. 15)

• Distributive property
• For all real numbers a, b, and ca(bc) ab
  ac and (bc)a ba ca

5
Algebra 2 1.3, Solving Equations 5 Properties
of Equality (p. 18)
6
Algebra 2 1.3, Solving Equations 5 Properties
of Equality (p. 18)
7
Algebra 2 1.4, Applications of Equations (p. 24)

• Problem Solving Plan
• Explore the Problem
• Plan the solution
• Solve the problem
• Examine the solution

8
Algebra 2 1.6, Absolute Value Equations (p. 24)

• Absolute value Distance from zero
• For any real number a
• If , then
• If , then