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Integers and Absolute Value

Learn how to use integers to represent real-world quantities, find opposites of numbers, and calculate absolute values on a number line with examples and practice exercises.

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Integers and Absolute Value

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  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.

  2. 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.

  3. 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.

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

  5. 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. Example: Graph the set of integers (4, -6, 0) on a number line. Your Example: Graph each set of integers on a number line. ( -2, 8, -7, 5 )

  6. 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 = _________

  7. What is Absolute Value? The absolute value of a number is the distance between the number and zero on a number line. For example: Hint: To find the absolute value of the number all you have to do is write the same number in positive. Example 1: Find the absolute value of |12| = 12 Example 2:Find the absolute value of |-176| = Example 3: Find the absolute value of - =

  8. Homework:

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