1. Number Sense AIMS Math Spring, 2009

2. Answers to On-Line Practice Test 1. B 2. C 3. D 4. A 5. A 6. C 7. D 8. A 9. D 10. D 11. A 12. C 13. D 14. A 15. B 16. A 17. C 18. A 19. B 20. A 21. B 22. C 23. D 24. B 25. D 26. C 27. A 28. C 29. B 30. C 31. D 32. A 33. C 34. B 35. D 36. B 37. C 38. B 39. A 40. D 41. C 42. B 43. C

3. Number Sets Anything that can be written as a ratio positives and negatives positives and negatives 0 1, 2, 3, 4, … 1, 2, 3, 4, … ` ` ` `

4. Square Roots Approximate & Rational or Irrational? 81368522510940010011,000211401723564000625252835

5. To what number set does this belong? Number of people in Casa Grande Amount of carpet needed for this room Amount of oil in a car Sand on a Beach {-2, -5, 3, 1} {1/2, ¾, 7/8, 0, 16} {1, 2, 3, …} {0, 1, 2, 3, …}

6. Absolute Value Distance from _____. What is the absolute value of… |3||-3||5||2.57||1/2||-8| |346||-33||52||0||1||-1||851||0.13||51||0.58||-1/4||455|

7. Finite versus Infinite Number of people in Casa Grande Amount of carpet needed for this room Hairs on your head Sand on a Beach

8. Finite versus Infinite Natural Numbers between 1 & 5 Rational Numbers between 0 & 5 Even Whole Numbers between 1 & 5 Whole numbers between 4 and 7 Rational numbers between 7 and 10 Negative rational numbers {5, 3, 1, 7 8} {…-5, -3, -1, 1} {…-3, -2, -1, 0, 1, 2, …} Decimal places in 3½ Decimal places in 2/3

9. Properties CommutativeDistributiveAssociative

10. Exponent An exponent is a little number high and to the right of a regular or base number. 3 4 Base Exponent

11. What an Exponent Represents An exponent tells how many times a number is multiplied by itself. 3 4 = 3 x 3 x 3 x 3

12. Exponent Examples 32323232 34343434 24242424 52525252 70707070 14141414 25252525 42424242 1 15 64646464 72727272 10 2

13. Scientific Notation Uses a number between 1 and 10 multiplied by a power of 10. Is this proper scientific notation? 3.25 x 10 4 21.57 x 10 4 5 x 10 2 0.5 x 10 -2 0.43 x 10 15 6.001 x 10 -4 3.2 x 10 2 5.32 x 10 0

14. Scientific Notation Write in expanded form. A positive exponent moves the decimal to the ___. A negative exponent moves the decimal to the __. 3.25 x 10 4 2.157 x 10 6 5 x 10 2 8.5 x 10 5 2.43 x 10 -4 6.001 x 10 -3 3.2 x 10 -2 5.32 x 10 0

15. Scientific Notation Write in scientific notation. 321.531.411051.73 0.0250.00720.000317432

16. Integer Addition and Subtraction Positive + Positive = Negative + Negative = Positive + Negative =

17. Real Live Uses of Integer Arithmetic I Jesus boards a plane in Phoenix where the temperature is 80  F and flies to Grand Island, Nebraska, where the temperatures is - 10  F. What number represents the change in temperature in degrees Fahrenheit going from Phoenix to Grand Island?

18. Real Live Uses of Integer Arithmetic II Rita’s business showed a loss of $5,000 in 2007 and a loss of $2,000 in 2008. How much better did the business do in 2008 than in 2007?

19. Real Live Uses of Integer Arithmetic III A plane is flying at 2,000 feet above sea level, directly above a submarine that is 500 feet below the surface. How far are they apart?

20. Real Live Uses of Integer Arithmetic IV Matt has $500 in his banking account. During January, he made 3 transactions: deposited $200, withdrew $50, and wrote a check for $80. In addition, he paid the bank a fee of $25. If there were no other transactions, what was Matt’s balance on February 1?

21. Units In what units (miles, feet, inches) would you measure the following? Your finger Distance to Phoenix Length of a book Width of a football field Height of a tree Length of a doorway

22. Matrices Find: A + B A – B 2A 3A + B

23. Order of Operations In what order do you do addition, subtraction, multiplication, division, exponents, absolute values, parenthesis and other grouping symbols?

24. Order of Operations

26. More on Simplifying

29. Substitution Let x = 2, y = -3 and z = 1