Real Numbers Section 0.1

TERMS you should know Set – A group or collection of objects Subset – A set of objects that are all members of another set Ellipsis (…) – The pattern continues Empty set 0 – A set with no elements Numerator – Top of a fraction Denominator – Bottom of a fraction Constant – A known value Variable – A letter representing some unknown value Coefficient – A known value multiplied by a variable

Types of numbers Symbol Name Description Examples N Natural Counting 1,2,3,4,… W Whole Zero & Natural Numbers 0,1,2,… Z Integers zero & positive and negative counting numbers …,-2,-1,0,1,… Q Rational Ratios of integers (repeating or terminating decimals) -15, -¾, 0, 3.666, 5 I Irrational Don’t repeat or terminate R Real Rational and Irrational

Real Numbers Real Numbers Rational Numbers Irrational Numbers Whole Numbers Integers Natural Numbers

Rational or Irrational??? Same as 4.5 Terminates Rational Number Same as .777777777 Repeats If it can be written as a ratio of integers it is Rational Same as 4.582575695… Doesn’t repeat or terminate Irrational Remember all rational and irrational numbers are real numbers

Rounding or Truncating Round 4.6769 to two decimal places 4.68 Truncate (cut off at) 4.6769 to two decimal places 4.67

Simplify using the order of operations PEMDAS 3 ( 10 – 3 · 2 ) + 30 – 5 2 = 3 ( 10 – 6 ) + 30 – 5 2 = 3 ( 4 ) + 30 – 5 2 = 3 ( 4 ) + 30 – 25 = 12 + 30 – 25 = 42 – 25 = 17

Simplify using the order of operations PEMDAS -3(2x + 4y) – (3x + 7y) -6x – 12y – 3x – 7y -9x – 19y

Add/Subtract the fractions

Simplify

Simplify

Evaluate the algebraic expression a = 2, b = -3, c = -4 2(2) – 5(-3) ² 2(2) – 5(9) 4 – 45 -41

Absolute value- distance from zero |-2| =2 |-2+7| =|5| =5