Chapter 1 Section 2 Algebra 2

Name the sets of numbers to which belongs. Answer: rationals (Q) and reals (R) Example 2-1a

Name the sets of numbers to which belongs. The bar over the 9 indicates that those digits repeat forever. Answer: rationals (Q) and reals (R) Example 2-1b

Name the sets of numbers to which belongs. lies between 2 and 3 so it is not a whole number. Answer: irrationals (I) and reals (R) Example 2-1c

Name the sets of numbers to which belongs. Answer: naturals (N), wholes (W), integers (Z), rationals (Q) and reals (R) Example 2-1d

Name the sets of numbers to which –23.3 belongs. Answer: rationals (Q) and reals (R) Example 2-1e

Name the sets of numbers to which each number belongs. a. b. c. d. Answer: rationals (Q) and reals (R) Answer: rationals (Q) and reals (R) Answer: irrationals (I) and reals (R) Answer: naturals (N), wholes (W), integers (Z) rationals (Q) and reals (R) Answer: rationals (Q) and reals (R) Example 2-1f

Name the property illustrated by . The Additive Inverse Property says that a number plus its opposite is 0. Answer: Additive Inverse Property Example 2-2a

Name the property illustrated by . The Distributive Property says that you multiply each term within the parentheses by the first number. Answer: Distributive Property Example 2-2b

Name the property illustrated by each equation. a. Answer: Identity Property of Addition Answer: Inverse Property of Multiplication Example 2-2c

Identify the additive inverse and multiplicative inverse for –7. Since –7 + 7 = 0, the additive inverse is 7. Since the multiplicative inverse is Answer: The additive inverse is 7, and the multiplicative inverse is Example 2-3a

Identify the additive inverse and multiplicative inverse for . Since the additive inverse is Since the multiplicative inverse is Answer: The additive inverse is and the multiplicative inverse is 3. Example 2-3b

Answer: additive: –5; multiplicative: Identify the additive inverse and multiplicative inverse for each number. a. 5 b. Answer: additive: –5; multiplicative: Answer: additive: multiplicative: Example 2-3c

There are two ways to find the total amount spent on stamps. Postage Audrey went to a post office and bought eight 34-cent stamps and eight 21-cent postcard stamps. How much did Audrey spend altogether on stamps? There are two ways to find the total amount spent on stamps. Method 1 Multiply the price of each type of stamp by 8 and then add. Example 2-4a

Answer: Audrey spent a total of $4.40 on stamps. Method 2 Add the prices of both types of stamps and then multiply the total by 8. Answer: Audrey spent a total of $4.40 on stamps. Notice that both methods result in the same answer. Example 2-4b

Chocolate Joel went to the grocery store and bought 3 plain chocolate candy bars for $0.69 each and 3 chocolate-peanut butter candy bars for $0.79 each. How much did Joel spend altogether on candy bars? Answer: $4.44 Example 2-4c

Distributive Property Simplify Distributive Property Multiply. Commutative Property (+) Distributive Property Answer: Simplify. Example 2-5a

Simplify . Answer: Example 2-5b

End of Lesson 2