1.1

10 0, 1, 2, , 9

, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7,

(1) 1 1 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, (2) -1 1 -1, -2, -3, -4, -5, -6, -7, (3) 0

21 ,

31 ,

74 ,

1. _______________________ 2. _______________________ 3. 5,000,000 5,000,000 _______________________ 4. 0, 1, 2, ... ,9 _______________________ 5. 0, 1, 2, 3, 4, 5, _______________________ 6. 11 _______________________ 7. 10,101,101,101 _______________________ 8. -6, -21, 0, 5, -81, 62, -34, 51, 27, -35 _______________________

1.2

(1 10o), (101), (102), (103), (104), (105), (106)

1 = 100 10 = 101 102

103

104

105

106

1.3

x

1.1 1,253,607 1 1 x 106, 7 7 x 1 2

1.2 a b ba

1.3 152 = (1 x 102) + (5 x 10) + (2 x 1)

1188 = (1 x 103) + (1 x 102) + (8 x 10) + (8 x 1)

1. 8 756,834,200 _______________________ _______________________

_______________________ 2. 0 2,052,631 3 _______________________ 3. 6 2,750,651 7 _______________________ 4. 3 3,452,691 2 _______________________ 5. 7,128,000 7 2 _______________________ 6. 105 _______________________ 7. (3 x 104) + (9 x 102) + 3 = _______________________ 8. (5 x 104) + (2 x 102) + (1 x 10) - (3 x 103) - (4 x 102) + 2 = _______________________ 9. (2 x 106) + (7 x 105) + (1 x 104) + (6 x 102) + (6 x 10) + (7 x 1) = _______________________ 10. (5 x 106) + (3 x 105) + (8 x 104) + (6 x 103) + (4 x 102) + (7 x 10) + (5 x 1) = _______________________ 11. (2 x 106) + (4 x 105) + (9 x 104) + (2 x 103) + (4 x 102) + (5 x 10) = _______________________ 12. 7,603,214 _______________________ 13. 85,003,908 _______________________ 1.4

: a n a... aaaa a n = an a n

1.4 105 = 10 x 10 x 10 x 10 x 10 : 1 100 = 1

1 1 1-1 = 1, 10 = 1, 11 = 1

a n

a000 = a x 10n

n

1.5 1500 = 15 x 102

7127000 = 7127 x 103 15,000,000,000 = 15 x 109

a , b c a x ( b c ) = ( a x b ) ( a x c ) (a b ) x c = ( a x c ) ( b x c )

1.6 (3 x 104) + (9 x 103) + (7 x 102) + 4 = 39,704

(15 x 102) + (13 x 102) = 28 x 102 (13 x 102) + (27 x 102) = 40 x 102 = 4 x 103

1. 106 _______________________ _______________________ 2. 46 _______________________ _______________________ 3. 10 _______________________ _______________________ 4. 345 x 107 _______________________ 5. 327 x 105 _______________________ 6. 628 x 1013 _______________________ 7. 7 + 103 _______________________ 8. 51 + 105 _______________________ 9. 572 + 106 _______________________ 10. (9 x 103) + (1 x 104) + (7 x 105) + (5 x 102) = a x 102 a _______________________ 11. (3 x 106) + (8 x 105) + (2 x 104) + (6 x 102) = a x 103 a _______________________ 12. (9 x 103) + (1 x 102) + (7 x 1) + (5 x 105) = a x 104 a _______________________ 13. (7 x 104) + (2 x 103) + (8 x 102) + (4 x 10) + (4 x 1) = (a x 104) + (b x 103) + (c x 102) + (d x 10) + e a, b, c, d, e

_______________________ 14. (2 x 10) + (8 x 100) + (4 x 102) = (a x 102) + (b x 10) + c a, b, c ______________ 15. (3 x 102) + (5 x 10) + (7 x 100) + (9 x 103) = (a x 103) + (b x 102) + (c x 10) + d a, b, c, d _____________ 16. (12 x 104) + (2 x 102) + (8 x 1) + (4 x 10) = (a x 104) a _______________________ 17. 1014 10 7 _______________________ 18. 1011 10 6 _______________________ 19. 10141 10 71 _______________________ 20. a3 27 x 103 a _______________________ 21. a4 81 x 104 a _______________________ 22. a3 64 x 103 a _______________________