Explain real number definition and explain problems


Questions :

1 Explain Real number definition.

2 Explain Problems involving direct proportion

3 Explain Relationship between graph and equations

4 Define index laws and Scientific notation problems.

5 Solve the proportion. 6 is to n as 4 is to 16.

6  Solve the proportion. 20 is to n as 16 is to 24.

7 Solve the proportion. 12 is to n as 9 is to 15

8 . Lydia can write 4 pages in 15 minutes. At this rate, how many pages can she write in 45 minutes?

9 . Ursula can write 7 pages in 24 minutes. At this rate, how many pages can she write in 120 minutes?

10 . Tim can write 4 pages in 16 minutes. At this rate, how many pages can he write in 48 minutes?

11.  Solve the proportion. b/10 = 9/10

12. Solve the proportion. b/16 = 7/8

13. Solve the proportion. b/14 = 6/7

14. In a direct variation equation y=14 when x=7.write a direct variation equation showing relation ship between x and y?

15  In a direct variation equation y=16 when x=4.write a direct variation equation showing relation ship between x and y?

16.  In a direct variation equation y=20 when x=4.write a direct variation equation showing relation ship between x and y ?

17.  In a direct variation equation y=20 when x=2.write a direct variation equation showing relation ship between x and y ?

18. A direct variation includes the points (10,20) and (6,n). Find n.

19. A direct variation includes the points (4,20) and (3,n). Find n.

20. Solve for c: 3^c=27.

21.  Evaluate 1^2

22. Evaluate 4^2

23.  Solve for (-4)^2

24. Solve for m: 4^m=64

25.  Solve -3^2

26.  Solve (-2)^2

27. What is (0.3)^4

28.  (0.03)^3 = ?

29. Solve for (0.1)^3

30. Write (1/3)^2 as a fraction.

31. Solve (0.2)^2.

32. Express (1/2)^2 as a fraction.

33. Solve (0.02)^3

34. Write the expression as a whole number with a negative exponent: ¼^29.

35. Which is equal to 92^-85.change to positive exponent

36.  Which is equal to 1/6^54.change to negative exponent.

37. Write the expression as a fraction with a positive exponent. 50^-8

38. Simplify. Express your answer using a single exponent. (y^3)^5

39.  Simplify (r^5)^2

40. Simplify (h^8)^9

41. Simplify (n^8)^3

42. How do you write 2.9*10^1 in standard form.

43. How do you write 120 in scientific notation ?

44. Write 1540 in scientific notation.

45. Write 11,700 in scientific notation.

46.  How do you write 6.6*10^5 in standard form?

47. What sign makes the statement true. 5.55*10^1 ? 5.55*10^2

48. What makes the statement true? 8.8*10^2 ? 8.8*10^4

49. Which sign makes the statement true: 3.3*10^1 ? 33.9

50. What makes the statement true? 8.61*10^4 ? 8.61*10^3

51. What makes the statement true. 4.10*10^4 ? 410,000

52. Which sign makes the statement true. 5.30*10^5 ? 5.3*10^5.

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