3.  Counting Numbers ◦ 1, 2, 3, 4, 5, …

4.  Counting Numbers & Zero ◦ 0, 1, 2, 3, 4, 5, …

5.  Positive and Negative Numbers and Zero ◦ …, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, …

6.  Can be expressed as the ratio of 2 integers

7.  Cannot be expressed as the ratio of 2 integers ◦ Non-terminating, non-repeating integers ◦Π◦Π

8. Complex numbers Real Numbers Imaginary Numbers | Rational Numbers Irrational Numbers | Integers | Whole Numbers | Natural Numbers Can be expressed as a fractionCan’t be expressed as a fraction All “non-decimal” values All positive integers and zero All positive integers i—or bi a+bi Has a real and an imaginary component

9. 1. Which value is closest to the square root of 273? A. 16.5B. 136.5C. 546D. 74,529 2. Determine the approximate value of the point: 1 2 3 4 5 6 7 8

10. 3. Given the numbers below, what is the order of these numbers from least to greatest? 3.3 A. 3.3 B. 3.3 C. 3.3 D. 3.3

12. Expand: 2.15 x 10 -3.00215 Write in scientific notation: 1. 3,145,062 2. 2,230,0003..000345

13. Simplify: 1. (1.5 x 10 2 )(4 x 10 3 )2. 30 x 10 6. 10 x 10 8

14. 1.The diameter of a red blood cell, in inches, is 3 x 10 -4. This expression is the same as which of the following numbers? A. 0.00003B. 0.0003C. 0.003D. 3,000 2. A. 0.5 x 10 2 B. 2 x 10 2 C. 2 x 10 0.5 D. 0.5 x 10 -2 E. 2 x 10 -2

16.  Convert 20% to a decimal  Convert.45 to a percentage  Convert ¾ to a percentage

17.  What is 7 percent of 50?  A CD that normally costs $15 is on sale for 20% off. What will you pay

19. ARANTHESISARANTHESIS XPONENTSXPONENTS MULT&DIVMULT&DIV ADD&SUBADD&SUB From left to right

20. 30 ÷ 10 (20 – 15) 2

22.  GCF—greatest common factor  What is the largest number that divides all the given numbers evenly 20356024 WHAT DO THEY SHARE?

23.  LCM—least common multiple  What is the smallest number that the given numbers go into evenly 20356024 WHAT IS THE LARGEST VALUE SHOWN IN EACH?

25.  In the town of Centerville, 2.1 centimeters of snow fell in 3 hours. Snow continued to fall at the same rate. How many centimeters of snow had fallen after 7 hours? A. 0.3 cm B. 2.8 cm C. 4.9 cm D. 14.7 cm

28.  It took the Smith’s 5 hours to go 275 miles. What was their average rate of speed? D=rt

29. What are the critical terms for estimation?

30. 1. Mrs. Ditters and her son went to lunch. Their bill came to $27.29. If a fair tip is between 15 and 20 percent, what would be a fair tip to leave their waiter? A.$2.00 B.$2.72 C.$5.00 D.$20.00

32.  x n  Base: the number to be multiplied by itself  Exponent: how many times the base is to multiplied by itself => EXPONENT => BASE

33.  (2 3 ) 4  (2 3 )(2 4 )  x 2 + 2x 2 x 2 – 2x 2 X 0 =1

34. x -n = 1. x n And A negative exponent means the items belongs on the other side of the fraction bar

36. 1.What is the value of the expression 2( ¼ ) 2. A. 1/16B. 1/8C. 2 2/8D. 8

38.  Be familiar with the following values BaseSquaresCubes 000 121 248 3927 41664 525125 636216 749 864 981 10100

39.  Simplifying Square roots use a factor tree and remove groups of 2 (if you are working with cube roots, remove in groups of 3, etc.)

40.  The same number must be under the radical in order to add or subtract

41.  Radicals must have the same index in order to multiply or divide