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– ALGEBRA I – Unit 2 – Section 1

This section reviews the concept of opposites and absolute value in algebra. Topics covered include finding the opposite of a number and calculating the absolute value of a number. Practice problems are provided for better understanding.

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– ALGEBRA I – Unit 2 – Section 1

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  1. – ALGEBRA I – Unit 2 – Section 1 Opposites and Absolute Value Joke of the Day In this section, we will be reviewing… • opposites • absolute value

  2. Opposites OPPOSITE – the opposite of a number is the same number with the other sign (+/–) • Examples of opposites are… 2 and –2 –8.1 and 8.1 17 and –17 • The opposite of zero is… ZERO. • Another word for opposite is ADDITIVE INVERSE. • The word opposite is synonymous with “negative” and “minus.”

  3. Opposites OPPOSITE – the opposite of a number is the same number with the other sign (+/–) • What about this problem… • You could think of this problem as the opposite of the opposite of the opposite of the opposite of the opposite of the opposite of negative seven… which is negative seven. • You could also recall that two negatives cancel out to a positive. • Or just remember that an EVEN number of negatives gives you a positive answer and an ODD number of negatives gives you a negative answer.

  4. Absolute Value Absolute Value – the absolute value of a number is the distance that the number is from zero –5 –4 –3 –2 –1 0 1 2 3 4 5 • For example, the absolute value of 2 is 2 since it is two spaces (units) from zero. • For example, the absolute value of –3 is 3 since it is three spaces (units) from zero. • The absolute value of a number is always positive since it is technically a measure of distance.

  5. Absolute Value Absolute Value – the absolute value of a number is the distance that the number is from zero • The symbol for absolute value is: • For example: • The absolute value of zero is zero. • The absolute value is another example of a grouping symbol. With regard to order of operations, you need to do the stuff inside the absolute value first and then take the absolute value. Then, you do operations outside of the lines.

  6. Try These Problems… Simplify the following problems: What is the opposite of each number? • –8 • 6 • 0 What is the absolute value of each number? • –8 • 6 • 0 Simplify: **The answers can be found at the end of the PowerPoint.

  7. ALGEBRA IS FUN AND EASY! **Answers: 1) –6 2) 8 3) 0 4) 6 5) 8 6) 0 7) 5 8) –4 9) 3

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