INTRO TO INTEGERS What is a Positive Number

INTRO TO INTEGERS

What is a Positive Number? � Positive number – a number greater than zero. 0 1 2 3 4 5 6

What is a Negative Number? � Negative number – a number less than zero. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

What are Opposite Numbers? � 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

Opposite Numbers Part II Example 1: The opposite of 7 is -7. 9 are opposites. Example 2: -9 and ___ What is the sum of a number and its opposite? 0.

What is an Integer? Integers – Integers are ALL the whole numbers and all of their opposites on the number line including zero Example #1 : 0, 1, 2, 3, 4 … Example #2 : -1, -2, -3, -4 …

What is a Rational Number? �

What’s the Absolute Value of a Number? Absolute Value – A number’s distance from 0 on a number line. Example 1: -6 -5 -4 The absolute value of 3 and – 3 = 3. -3 5 -2 -1 0 1 5 2 3 4 5 6

Same or Opposite Sides of Zero �

Negative Numbers Are Used to Measure Temperature Example: The temperature in Antarctica was 34 degrees below 0 or -34°

Negative Numbers Are Used to Measure Under Sea Level Example: The diver dove 20 feet below sea level. OR -20 feet ZERO: In this case, zero represents that you are standing at the surface of the ocean. 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. How can we represent the amount of money your parents have as an integer? -$5, 000 ZERO: In this case, zero represents that you no longer owe any money for the car.

Negative Numbers Are Used to Measure Movement Example: Mary and George walked into an apartment building and went to the elevator. They needed to go to the 6 th floor to visit their cousin. How can we represent the number of floors they ascended? ZERO: In this case, zero represents the ground floor where Mary and George walked into the elevator. +6

Writing Positive Numbers v If you don’t see a positive or negative sign in front of a number, then it is positive. Example: +9 and 9 represent the same number.

Real-Life Situations Write an integer to represent each situation below. v You gain 10 yards on the football field. v You owe your brother $25. 00 v You lose 5 pounds on a diet. v You earn $30. 00 mowing lawns.

Real-Life Situations Write a real-life situation to represent the integers below. Be creative! v - 45 v 24 v - 56 v 66