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Properties of Real Numbers

3 4. – is between –1 and 0. Use a calculator to find that 7 2.65. Properties of Real Numbers. ALGEBRA 2 LESSON 1-1. 3 4. Graph the numbers – , 7 , and 3.6 on a number line. 1-1. 9 = 3, so – 9 = –3. –9 < – 9. Properties of Real Numbers.

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Properties of Real Numbers

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  1. 3 4 – is between –1 and 0. Use a calculator to find that 7 2.65. Properties of Real Numbers ALGEBRA 2 LESSON 1-1 3 4 Graph the numbers – , 7 , and 3.6 on a number line. 1-1

  2. 9 = 3, so – 9 = –3. –9 < – 9. Properties of Real Numbers ALGEBRA 2 LESSON 1-1 Compare –9 and – 9. Use the symbols < and >. Since –9 < –3, it follows that 1-1

  3. Opposite: –(–3 ) = 3 1 7 1 7 1 1 7 22 Reciprocal: = = – 1 7 22 7 –3 – 1 4 Reciprocal: Properties of Real Numbers ALGEBRA 2 LESSON 1-1 Find the opposite and the reciprocal of each number. 1 7 a. –3 b. 4 Opposite: –4 1-1

  4. Properties of Real Numbers ALGEBRA 2 LESSON 1-1 Which property is illustrated? a. (–7)(2 • 5) = (–7)(5 • 2) b. 3 • (8 + 0) = 3 • 8 The given equation is true because 2 • 5 = 5 • 2. The given equation is true because 8 + 0 = 8. So, the equation uses the Commutative Property of Multiplication. This is an instance of the Identity Property of Addition. 1-1

  5. 1 3 1 3 1 3 1 3 4 is 4 units from 0, so | 4 | = 4 . Properties of Real Numbers ALGEBRA 2 LESSON 1-1 1 3 Simplify | 4 |, |–9.2|, and |3 – 8|. –9.2 is 9.2 units from 0, so |–9.2| = 9.2. |3 – 8| = |–5| and –5 is 5 units from 0. So, |–5| = 5, and hence |3 – 8| = 5. 1-1

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