Unit 1 Section 3 Real Numbers & the Number Line.notebook Bellringer 8 + 6(4 + 4 ÷ 2) Which student is correct? Student 1 Student 2 Student 3 8 + 6(4 + 4 ÷ 2) 14(4 + 4 ÷ 2) 14(4 + 2) 14(6) 84 8 + 6(4 + 4 ÷ 2) 8 + 6(8 ÷ 2) 8 + 6(4) 8 + 24 32 8 + 6(4 + 4 ÷ 2) 8 + 6(4 + 2) 8 + 6(6) 8 + 36 44 Aug 29­1:01 PM Sep 7­7:11 AM September 08, 2015 Unit 1 Section 3 Real Numbers & the Number Line.notebook Sep 7­7:18 AM Homework Packet page 8 May 24­2:17 PM September 08, 2015 Unit 1 Section 3 Real Numbers & the Number Line.notebook September 08, 2015 The Real Number System Real Numbers Rational (Q) fractions decimals • repeat • terminate Irrational (I) Integers (Z) ...­3, ­2, ­1, 0, 1, 2, 3... Whole (W) 0, 1, 2, 3, ... Natural (N) 1, 2, 3, 4.... May 24­2:31 PM Real Numbers: Contain all positive, negative number and zero. They also include all fractions. They use the (R) symbol. Real numbers are all the numbers on the number line: Jan 22­7:38 AM Unit 1 Section 3 Real Numbers & the Number Line.notebook September 08, 2015 Rational number: a number that can be written in the form m where m and n n are integers and n≠0. This includes all terminating and repeating decimals. They use the (Q) symbol. Why can't n≠0? May 24­11:51 AM Irrational Numbers: numbers that can't be written in the form m n , this includes non-repeating, non terminating decimals. They use the (I) symbol. Examples: May 24­12:13 PM Unit 1 Section 3 Real Numbers & the Number Line.notebook September 08, 2015 Integers: Whole numbers, their opposites, and zero. They use the (Z) symbol. ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 Examples: Jan 22­7:53 AM Whole Numbers: The positive numbers and zero. They use the (W) symbol. Examples: May 24­2:09 PM Unit 1 Section 3 Real Numbers & the Number Line.notebook September 08, 2015 Natural Numbers: The positive numbers, not zero. AKA the counting numbers. They use the (N) symbol. Examples: May 24­2:09 PM Name all the Sets of numbers each number belongs to: 1.) 97 2.) √8 Sep 10­7:48 AM 3.) ¼ Unit 1 Section 3 Real Numbers & the Number Line.notebook September 08, 2015 Show that each number is a rational number. 4.) -2 7 9 5.) 3.08 6.) -3 Sep 3­9:23 AM Homework: Homework packet pages 9 and 10 Aug 29­10:05 AM Unit 1 Section 3 Real Numbers & the Number Line.notebook Sep 3­9:24 AM September 08, 2015