3. $100 $200 $300 $400 $500 $200 $300 $400 $500 Divisibility and GCF Primes, Composites and Rational # Scientific Notation Simplifying Fractions and Problems Exponents

4. Divisibility and GCF for $100 Is 68,301 divisible by 9?

5. Answer Back Yes, because 6+8+3+0+1 = 18 and 18 is divisible by 9

6. Divisibility and GCF for $200 List the factors of 70

7. 1, 2, 5, 7, 10, 14, 35, 70 Answer Back

8. Divisibility and GCF for $300 Write a 5 digit number that is divisible by 3

9. Answers vary, but the sum of the digits must be divisible by 3. i.e. 31,260 = 3+1+2+6+0 = 12. Since 12 is divisible by 3, 31,260 is also divisible by 3. Answer Back

10. Divisibility and GCF for $400 Find the GCF of 200 and 145

11. Factor trees! 200 = 100*2 = 5*20*2 = 5*5*4*2 = 5*5*2*2*2 145 = 5 * 29 Thus the GCF is 5 (only factor in common) Answer Back

12. Divisibility and GCF for $500 Find the GCF of 56x 2 y 3 and 16x 4 y

13. Answer Back 56x 2 y 3 = 2*2*2*7 *x*x*y*y*y 16x 4 y = 2*2*2*2*x*x*x*x*y Top and bottom have 2, 2, 2, x, x, y in common, so the GCF is 8x 2 y

14. Primes, Composites, and Rational Numbers for $100 Is 57 prime, composite or neither?

15. Composite – 57 has 1, 3, 19, and 57 as factors. Answer Back

16. Primes, Composites, and Rational Numbers for $200 Write two numbers that are neither prime, nor composite

17. Answer 1 and 0 1 only has 1 factor 0 cannot be made by multiplying 2 non-zero numbers together. Back

18. Primes, Composites, and Rational Numbers for $300 Graph the number (5/7) on a number line

19. Answer (5/7) Back

20. Primes, Composites, and Rational Numbers for $400 Evaluate for a = -3 and b = 5: a -2 * (4b 2 – 10)

21. a -2 * (4b 2 – 10) = (-3) -2 * (4*5 2 – 10) = (1/9) * (100-10) = (1/9) * 90 = 10 Answer Back

22. Primes, Composites, and Rational Numbers for $500 Explain how to find all of the prime numbers less than a certain number.

23. Answer Write out all the numbers 1 to the number. Then, find all the prime numbers less than the square root of the number. Then cross off all the multiples of the primes less than the square root. The numbers left are prime numbers. Back

24. Simplifying Fractions and Problems for $100 Simplify: 21/33

25. Answer 21/33 = (7*3)/(11*3) = 7/11 Back

26. Simplifying Fractions and Problems for $200 Simplify: xy/y

27. Answer Back xy/y = x

28. Simplifying Fractions and Problems for $300 Simplify: 45yz 2 36xy 2

29. 45yz 2 = 3*3*5*y*z*z 36xy 2 = 2*2*3*3*x*y*y 3, 3, and y cancel out: 5z 2 4xy Answer Back

30. Simplifying Fractions and Problems for $400 Crystal wants to put a fence around her vegetable garden. Her garden is 5 ft wide and 4 ft long. She plans to put a post at each corner and at every foot. How many fence posts will Crystal need?

31. There will be 6 posts on each width and 5 posts on each length = 6+6+5+5 = 22. However, this means the four corners are repeated, so 22-4 = 18 posts. Answer Back

32. Simplifying Fractions and Problems for $500 Jane has 5 marbles in her pocket. She has one blue, one orange, one yellow, one green and one red. If she chooses two without looking, how many possibilities are there?

33. Answer Possibilities are B,O,Y,G,R, So BO, BY, BG, GR, OY, OG, OR, YG, YR, GR. = 10 possibilities Or, n(n-1)/2 Back

34. Exponents for $100 Simplify: 4 50 *4 23

35. Answer 4 50 * 4 23 = 4 50 + 23 = 4 73 Back

36. Exponents for $200 Simplify: (2y 4 ) 3

37. (2y 4 ) 3 = 2 3 * y 4*3 = 8y 12 Answer Back

38. Exponents for $300 Simplify: (8x 2 )/(16x 5 )

39. (8x 2 )/(16x 5 ) = (8/16)(x 2 /x 5 ) = (1/2)(x 2-5 ) = (1/2)(x -3 ) = (x -3 )/2 or 1/(2x 3 ) Answer Back

40. Exponents for $400 Simplify: (x 4 * x 3 * x 5 ) 3

41. Answer (x 4 * x 3 * x 5 ) 3 = (x 4+3+5 ) 3 = (x 12 ) 3 = x 12*3 = x 36 Back

42. Exponents for $500 Simplify and write the answer without using a division symbol: 35x 5 y 2 7x 7 y

43. Answer Back 35x 5 y 2 = (35/7)(x 5 /x 7 )(y 2 /y) = 5x -2 y 7x 7 y

44. Scientific Notation for $100 Write the following number using standard notation: 4.56 x 10 7

45. Answer 4.56 x 10 7 => the 10 7 causes the decimal to move to the right 7 places 45,600,000 Back

46. Scientific Notation for $200 Write the following number using scientific notation: 2355000

47. Answer 2355000 => The decimal point goes between the 2 and 3 because it goes after the first non zero number. This moves it 6 places from the original spot, so. = 2.355 x 10 6 Back

48. Scientific Notation for $300 Write 0.0000045 in scientific notation.

49. Answer 0.0000045 = 4.5 x 10 -6 Back

50. Scientific Notation for $400 Write in scientific notation: 35.2 x 10 10

51. Answer Back 35.2 x 10 10 = 3.52 x 10 11

52. Scientific Notation for $500 Simplify – Write your answer using scientific Notation: (3 x 10 4 ) x (5 x 10 -8 )

53. Answer Back (3 x 10 4 ) x (5 x 10 -8 ) = (3*5) * (10 4 x 10 -8 ) = 15 x 10 -4 = 1.5 x 10 -3