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What You Will Learn Vocabulary related to integers. Situations in which we use integers Graph integers on a number line Find the absolute value of an integer Are you ready?? Definition Positive number – a number greater than zero. 0 1 2 3 4 5 6 Definition Negative number – a number less than zero. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 Definition Opposite Numbers – numbers that are the same distance from zero in the opposite direction -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 Definition Integers – Integers are all the whole numbers and all of their opposites on the negative number line including zero. 7 opposite -7 Definition Absolute Value – The size of a number with or without the negative sign. The absolute value of 9 or of –9 is 9. What are integers used for? Negative Numbers Are Used to Measure Temperature Negative Numbers Are Used to Measure Under Sea Level 30 20 10 0 -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. BRAINSTORM NAME SOME SITUATIONS THAT USE INTEGERS Hint If you don’t see a negative or positive sign in front of a number it is positive. +9 Aren’t integers interesting? . Name a positive or negative number to represent each situation. A gain of 20 yards in the game against Union Spending $75 at Walmart Diving 10 feet below seal level An increase in allowance of $5 Which can not be represented by -8? a) A temperature drop of 8 b) A depth of 8 meters c) A growth of 8 centimeters d) A time 8 years ago Write about it! Write a situation that each integer could represent. a) 49 b) -83 c) -7 d) +15 Graphing Integers Graph -4 on a number line Graph 3 on a number line Practice Graph the following on a number line: -5 2 Finding opposites Graph -6 on a number line. The opposite of -6 will be equal distance from zero on the right side. Finding opposites Graph 4 on a number line. The opposite of 4 will be equal distance from zero on the left side. Opposites Practice What is the opposite of the following? -92 2. 75 3. -25 4. 9 1. ABSOLUTE VALUE SYMBOL: | | READING MATH READ |3| AS THE ABSOLUTE VALUE OF 3 READ |-3| AS THE ABSOLUTE VALUE OF 3 ABSOLUTE VALUE REFERS TO A NUMBERS DISTANCE FROM ZERO FINDING ABSOLUTE VALUE FACT I: ABSOLUTE VALUES ARE NEVER NEGATIVE FACT II: OPPOSITE NUMBERS HAVE THE SAME ABSOLUTE VALUE FINDING ABSOLUTE VALUE USE A NUMBER LINE |5| |-7| PRACTICE |418| |-189| |806| |-295| Write about it! Why do opposites have the same absolute value?