Bell Work (8 – 2)2 + 12 ÷6 16 ÷ (32 – 1)

Positive and Negative Whole Numbers are called Integers

Venn Diagram of Real Numbers Irrational Numbers Rational Numbers-fractions Integers-positive & negative Whole Numbers

Integers Numbers to the right of zero are more than zero. Numbers to the left of zero are less than zero.

Definition Opposite Numbers – numbers that are the same distance from zero in the opposite direction -6 -5 -4 -3 -2 -1 1 2 3 4 5 6

You Try Answers – 8 6 10 Find the opposite of the number 1. 8 2. – 6 3. – 10

Absolute Value The distance a number is from zero on the number line. Symbols: |2| = the absolute value of 2 Start at 0, count the jumps to 2. -5 -4 -3 -2 -1 0 1 2 3 4 5 It takes two jumps from 0 to 2. |2| = 2

Absolute Value The distance a number is from zero on the number line. Ex: |-4| = Start at 0, count the jumps to -4. -5 -4 -3 -2 -1 0 1 2 3 4 5 It takes four jumps from 0 to -4. |-4| = 4

Absolute Value Absolute Value The absolute value of a number is the distance between that number and zero on a number line. Absolute value is shown by placing two vertical bars around the number In symbols: |7| = 7 and |-7| = 7 -7 +7 -5 5 10 -10

Absolute Value is ALWAYS positive because you are measuring distance.

You try: Find the Absolute Value of the Integer 1. 2. 3. Answers 6 14 20

Negative Numbers Are Used to Measure Temperature

Negative Numbers Are Used to Measure Under Sea Level 30 20 10 -10 -20 -30 -40 -50

Negative Numbers Are Used to Show Debt Let’s say your parents bought a car but had to get a loan from the bank for $5,000. When counting all their money they add in -$5.000 to show they still owe the bank.

. . Comparing Integers -5 -4 -3 -2 -1 0 1 2 3 4 5 The further a number is to the right on the number line, the greater it’s value. Ex: -3 ___ -1 < -5 -4 -3 -2 -1 0 1 2 3 4 5 . . -1 is on the right of -3, so it is the greatest.

. . Comparing Integers -5 -4 -3 -2 -1 0 1 2 3 4 5 The farther a number is to the right on the number line, the greater it’s value. Ex: 2 ___ -5 > -5 -4 -3 -2 -1 0 1 2 3 4 5 . . 2 is on the right of -5, so it is the greatest.

. . Comparing Integers -5 -4 -3 -2 -1 0 1 2 3 4 5 The farther a number is to the right on the number line, the greater it’s value. > Ex: 0 ___ -2 -5 -4 -3 -2 -1 0 1 2 3 4 5 . . 0 is on the right of -2, so it is the greatest.

. . . . Ordering Integers -5 -4 -3 -2 -1 0 1 2 3 4 5 When ordering integers from least to greatest follow the order on the number line from left to right. Ex: 4, -5, 0, 2 -5 -4 -3 -2 -1 0 1 2 3 4 5 . . . . Least to greatest: -5, 0, 2, 4

Try This: a. -13 ___ 4 b. -4 ___ -7 c. -156 ___ 32 On your notes. < a. -13 ___ 4 b. -4 ___ -7 < c. -156 ___ 32 < d. Order from least to greatest: 15, -9, -3, 5 _______________ -9, -3, 5, 15 e. Order from greatest to least: -16, -7, -8, 2 _______________ 2, -7, -8, -16

Skills Check! When you finish turn your paper over and put it in the corner of your desk. Silent read, work on other homework or practice more problems. No talking. Practice: Green Book Page 55 #’s 1-18