Integers and Absolute Value

1. Integers and Absolute Value Objective: 1. Learn to use integers to represent real-world quantities. 2. Learn to find the opposite of a number. 3. Learn to find the absolute value of a number.

3. Integers: are positive and negative WHOLE NUMBERS. Fractions and decimals are not integers. Zero is a whole number, so it is an integer. • Positive integers: are all integers greater than zero. They can be written with or without a positive (+) sign. • Negative integers: are all integers less than zero. They are written with a negative (-) sign. • Zero is neither positive nor negative.

4. Real- world examples: write an integer for each situation. 1. An average temperature of 5 degrees below zero. = because it represents 5 degrees below zero, the integer is -5. • A bank withdrawal of $50. = because you are taking money out of the bank, the integer is - 50. 3. A bank deposit of $ 135. = because you are putting money in the bank, the integer is +135. 4. An elevator goes up 12 floors. = because it is going up, the integer is +12.

5. Your example: • Use an integer for each situation: • Lost 6 yards. = ___________________ • Earned $10 dollars. ________________ • 160 feet above sea level. ____________ • 5 feet below zero. ________________

6. Integers can be graphed on a number line. To graph a point on the number line, draw a point on the line at its location. Your Example: Graph each set of integers on a number line. ( -2, 8, -7, 5 )

7. Opposite numbers are numbers that have the same distance from the zero. For ex. 2 and -2 or -8 and 8 • Your Example: Write the opposite of each integer. • 3 = __________ • -23 = _________ • 250 = _________

8. Hint: To find the absolute value of the number all you have to do is write the same number in positive. Example: Find the absolute value of |-12| = -12 is 12 units from the zero. So, the absolute value of -12 is 12. Your Example: Find the absolute value of |-176| =

9. Homework: Integers and Absolute value