### Exponents And Powers Class 8th Mathematics AP Board Solution

##### Question 1.Express the following numbers in the standard form.0.000000000947Answer:Given, = 0.000000000947= 0.000000000947 = 9.47 = 9.47  0.000000000947 = 9.47 Question 2.Express the following numbers in the standard form.543000000000Answer:Given, = 543000000000= 543000000000 = 5.43 1011 9.47 = 5.43 1011Question 3.Express the following numbers in the standard form.48300000Answer:Given, = 48300000= 48300000 = 4.83 107 48300000 = 4.83 107Question 4.Express the following numbers in the standard form.0.00009298Answer:Given, = 0.00009298= 0.00009298 = 9.28 = 9.28  0.00009298 = 9.28 Question 5.Express the following numbers in the standard form.0.0000529Answer:Given, = 0.0000529= 0.0000529 = 5.29  0.0000529 = 5.29 Question 6.Express the following numbers in the usual form.4.37 × 105Answer:Given, = 4.37 × 105= 4.37 100000= 437000 4.37 × 105 = 437000.Question 7.Express the following numbers in the usual form.5.8 ×107Answer:Given, = 5.8 ×107= 5.8 10000000= 58000000 5.8 ×107 = 58000000.Question 8.Express the following numbers in the usual form.32.5 × 10−4Answer:Given, = 32.5 × 10−4= 32.5 = 0.00325 32.5 × 10−4 = 0.00325Question 9.Express the following numbers in the usual form.3.71529 × 107Answer:Given, = 3.71529 × 107= 3.71529 10000000= 37152900 3.71529 × 107 = 37152900Question 10.Express the following numbers in the usual form.3789 × 10−5Answer:Given, = 3789 × 10−5= 3789 = 0.03789 3789 × 10−5 = 0.03789Question 11.Express the following numbers in the usual form.24.36 × 10−3Answer:Given, = 24.36 × 10−3= 24.36 = 0.02436 24.36 × 10−3 = 0.02436Question 12.Express the following information in the standard formSize of the bacteria is 0.0000004 mAnswer:Given, Size of the bacteria is = 0.0000004 m= 0.0000004 = 4 = 4  Size of the bacteria is = 4 mQuestion 13.Express the following information in the standard formThe size of red blood cells is 0.000007mmAnswer:Given, The size of red blood cells is = 0.000007mm= 0.000007 = 7 The size of red blood cells = 7 mmQuestion 14.Express the following information in the standard formThe speed of light is 300000000 m/secAnswer:Given, The speed of light is = 300000000 m/sec= 300000000 = 3.0 108 The speed of light = 3.0 108m/sec.Question 15.Express the following information in the standard formThe distance between the moon and the earth is 384467000 m (app)Answer:Given, The distance between the moon and the earth,= 384467000 = 3.84467 108 The distance between the moon and the earth=3.84467 108 mQuestion 16.Express the following information in the standard formThe charge of an electron is 0.0000000000000000016 coulombsAnswer:Given, The charge of an electron = 0.0000000000000000016 coulombs.= 0.0000000000000000016 = 1.6  The charge of an electron = 1.6 coulombs.Question 17.Express the following information in the standard formThickness of a piece of paper is 0.0016 cmAnswer:Given, Thickness of a piece of paper = 0.0016 cm= 0.0016 = 1.6 = 1.6  Thickness of a piece of paper = 1.6 cm.Question 18.Express the following information in the standard formThe diameter of a wire on a computer chip is 0.000005 cmAnswer:Given, diameter of a wire on a computer chip = 0.000005 cm.= 0.000005 = 5 = 5  The diameter of a wire on a computer chip = 5 cm.Question 19.In a pack, there are 5 books, each of thickness 20 mm and 5 paper sheets each of thickness 0.016mm. What is the total thickness of the pack.Answer:Given, thickness of book = 20mmThickness of paper = 0.016mmThe total thickness of the pack is to be found. the total thickness of the pack = (5 20) + (5 0.016)= 100 + 0.08= 100.08= 1.0008 102mm the total thickness of the pack = 1.0008 102mmQuestion 20.Rakesh solved some problems of exponents in the following way. Do you agree with the solutions? If not why? Justify your argument.x–3 × x–2 = x–6Answer:Given, x–3 × x–2 = x–6 the solution is wrong, because x–3 × x–2 = x-3-2= x-5 x–3 × x–2 x–6Question 21.Rakesh solved some problems of exponents in the following way. Do you agree with the solutions? If not why? Justify your argument. Answer:Given,  = =  Question 22.Rakesh solved some problems of exponents in the following way. Do you agree with the solutions? If not why? Justify your argument. Answer:Given,  (x2)3 = x2x3= x6 the solution by Rakesh is wrong.Question 23.Rakesh solved some problems of exponents in the following way. Do you agree with the solutions? If not why? Justify your argument. Answer:Given,  =  Question 24.Rakesh solved some problems of exponents in the following way. Do you agree with the solutions? If not why? Justify your argument. Answer:Given,  3 = 3 =  3 PDF FILE TO YOUR EMAIL IMMEDIATELY PURCHASE NOTES & PAPER SOLUTION. @ Rs. 50/- each (GST extra)

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