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Critical Phenomena in Loop Models

While with reference to a continuing part transition, many actual structures can usefully be mapped to ensembles of fluctuating loops, which would characterize for instance polymer jewelry, or line defects in a lattice magnet, or worldlines of quantum debris. 'Loop types' offer a unifying geometric language for difficulties of this sort.

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Use mental math to choose the best estimate. 76 ÷ 19 = ? a) 5 b) 4 c) 3 Mental Math & Estimation Name: 158. Use mental math to choose the best estimate. 1,888 ÷ 8 = ? a) 400 b) 300 c) 200 5-Minute Daily Practice: Multiplication & Division © Jill Safro, Scholastic Teaching Resources 55 Division Mental Math & Estimation Name: 159. Use mental math to choose the best estimate. 8 503 a) 40 b) 50 c) 100 Mental Math & Estimation Name: 160. Use mental math to choose the best estimate. 11 17,353 a) 700 b) 1,800 c) 800 Mental Math & Estimation Name: 161.

C 73. 54 marbles 6. 8 x 5 = 32 40. b 74. 32 cupcakes 7. 118 41. 5; 8; 1 75. 54 sweaters 8. 54 42. 14; 12; 20 76. 1/10; 15/28; 2/5 9. 55 clowns 43. 625; 361; 441 77. 35/108; 56/65; 72/125 10. 1917 44. c 78. 11. 22 x 12 = 66 45. c 15/16; 783/56 (or 13 55/56); 259/6 (or 43 1/6) 12. 300 46. b 79. 60 13. 133 x 10 = 169 47. a 80. 50 14. b 48. a 81. $42 15. a 49. c 82. 5 16. 202 x 8 = 1,606 50. a 83. 16 17. 100 51. a 84. 04888 18. c 52. c 85. 11; 33; 6 19. 1,889 x 88 = 166,323 53. $13; $37 86. 75; 4,645; 670 20.

Use mental math to choose the best estimate. 11 17,353 a) 700 b) 1,800 c) 800 Mental Math & Estimation Name: 161. Use mental math to choose the best estimate. 11 968 a) 100 b) 91 c) 80 56 5-Minute Daily Practice: Multiplication & Division © Jill Safro, Scholastic Teaching Resources Division Square Roots Name: 162. Fill in the blanks. The square root of ____________ equals 7. The square root of ____________ equals 2. The square root of ____________ equals 11. Square Roots Name: 163. Fill in the blanks.

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