Practice and Problem-Solving Exercises

A Practice

See Problem 1.

Classify each variable according to the set of numbers that best describes its values.

10. the number of times n a ball bounces; the height h from which the ball is dropped
11. the year y; the median selling price p for a house that year
12. the circumference C of a circle found by using the formula C = 2 π r c equals 2 pi r

See Problem 2.

Graph each number on a number line.

13. 0
14. − 24 negative square root of 24
15. − 2 negative 2
16. 2 1 2 2 , and 1 half
17. − 4 2 3 negative 4 , and 2 thirds
18. 3.5
19. − 1.4 negative 1.4
20. 10 square root of 10
21. − 2 1 5 negative 2 , and 1 fifth
22. 4.8

See Problem 3.

Compare the two numbers. Use >  or  < . greater than , or , less than .

23. 16 , 16 16 comma square root of 16
24. − 4 , − 4 negative 4 comma negative square root of 4
25. 5 , 7 square root of 5 comma square root of 7
26. − 3 , − 5 negative square root of 3 comma negative square root of 5
27. 5 , 22 5 comma square root of 22
28. − 38 , 6 negative square root of 38 comma 6
29. 4 , 12 4 comma square root of 12
30. − 8 , 70 negative 8 comma square root of 70
31. 63 , 7.5 square root of 63 comma 7.5
32. 4.7 , 26 4.7 comma square root of 26
33. 75 , 9 square root of 75 comma 9
34. 12 , − 150 12 comma negative , square root of 150

See Problem 4.

Name the property of real numbers illustrated by each equation.

35. π ( a + b ) = π a + π b pi open eh plus b close equals pi eh plus pi b
36. − 10 + 4 = 4 + ( − 10 ) negative 10 plus 4 equals 4 plus open negative 10 close
37. ( 2 7 ) ⋅ 3 = 2 ( 7 ⋅ 3 ) open , 2 square root of 7 , close . dot square root of 3 equals 2 . open , square root of 7 dot square root of 3 , close
38. 29 ⋅ π = π ⋅ 29 29 dot pi equals pi dot 29
39. − 5 + 0 = − 5 negative square root of 5 plus 0 equals negative square root of 5
40. 4 7 ⋅ 7 4 = 1 4 sevenths , dot , 7 fourths , equals 1

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