Written Instructions:
For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..
For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.
Leave your answers in the simplest form or correct to two decimal places.
| 1) Represent the following numbers in scientific notation (11000)3 x (0.003)2 ÷ (30000) x 102 Answer:_______________ |
| 2) Represent the following numbers in scientific notation (1400)3 x 0.00012 x 101 Answer:_______________ |
| 3) Represent the following numbers in scientific notation (0.003)7 x (0.0002)5 - (0.001)3 x 10-28 Answer:_______________ |
| 4) Represent the following numbers in scientific notation (1000)3 x (20)2 x 1013 Answer:_______________ |
| 5) Represent the following numbers in scientific notation (16000) ÷ (200)4 x 103 Answer:_______________ |
| 6) Represent the following numbers in scientific notation (11000)3 x (0.003)2 ÷ (30000) x 102 Answer:_______________ |
| 7) Represent the following numbers in scientific notation (1300)3 x 0.00012 x 101 Answer:_______________ |
| 8) Represent the following numbers in scientific notation (0.003)7 x (0.0002)5 - (0.001)3 x 10-28 Answer:_______________ |
| 9) Represent the following numbers in scientific notation (1000)3 x (20)2 x 1013 Answer:_______________ |
| 10) Represent the following numbers in scientific notation (16000) ÷ (200)4 x 103 Answer:_______________ |
| 1) Represent the following numbers in scientific notation (11000)3 x (0.003)2 ÷ (30000) Answer: 3.993 x 102 SOLUTION 1 : (11000)3 x (0.003)2 ÷ (30000) = (1.1 x 104)3 x (3.0 x 10-3)2 ÷ (3.0 x 104) = (1.1)3 x 1012 x 32 x 10-6 ÷ (3 x 104)
= 3.993 x 102
|
| 2) Represent the following numbers in scientific notation (1400)3 x 0.00012 Answer: 2.744 x 101 SOLUTION 1 : 14002 x 0.00016 = (1.4 x 103)3 x (1.0 x 10-4)2 = (s3)3 x (10)9 x (1.0)2 x 10-8 = 2.744 x 101 |
| 3) Represent the following numbers in scientific notation (0.003)7 x (0.0002)5 - (0.001)3 Answer: 6.9984 x 10-28 SOLUTION 1 : (0.003)7 x (0.0002)5 - (0.001)3 = (3.0 x 10-3)7 x (2.0 x 10-4)5 - (1.0 x 10-3)3 = (3.0)7 x 10-21 x 25 x 10-20 - (13 x 10-9)
= 69984 x 10-32 = 69984 x 10-32 x 104 = 6.9984 x 10-28
|
| 4) Represent the following numbers in scientific notation (1000)3 x (20)2 Answer: 6.4 x 1013 SOLUTION 1 : 10002 x 206 = (1.0)2 x 103)2 x (2.0 x 101)6 = 1 x 106 x 26 x 106 = (1.0)2 x (2.0)6 x 1012 = 64 x 101 x 1012 = 6.4 x 1013 |
| 5) Represent the following numbers in scientific notation (16000) ÷ (200)4 Answer: 2.56 x 103 SOLUTION 1 : 16000 ÷ 2004 = (1.6 x 104)3 ÷ (2.0 x 10-4)4 = (1.6)3 x 1012 ÷ (24 x 108) = (1.0)2 x (2.0)6 x 1012 =
= 2.56 x 103 |
| 6) Represent the following numbers in scientific notation (11000)3 x (0.003)2 ÷ (30000) Answer: 3.993 x 102 SOLUTION 1 : (11000)3 x (0.003)2 ÷ (30000) = (1.1 x 104)3 x (3.0 x 10-3)2 ÷ (3.0 x 104) = (1.1)3 x 1012 x 32 x 10-6 ÷ (3 x 104)
= 3.993 x 102
|
| 7) Represent the following numbers in scientific notation (1300)3 x 0.00012 Answer: 2.197 x 101 SOLUTION 1 : 13002 x 0.00016 = (1.3 x 103)3 x (1.0 x 10-4)2 = (s3)3 x (10)9 x (1.0)2 x 10-8 = 2.197 x 101 |
| 8) Represent the following numbers in scientific notation (0.003)7 x (0.0002)5 - (0.001)3 Answer: 6.9984 x 10-28 SOLUTION 1 : (0.003)7 x (0.0002)5 - (0.001)3 = (3.0 x 10-3)7 x (2.0 x 10-4)5 - (1.0 x 10-3)3 = (3.0)7 x 10-21 x 25 x 10-20 - (13 x 10-9)
= 69984 x 10-32 = 69984 x 10-32 x 104 = 6.9984 x 10-28
|
| 9) Represent the following numbers in scientific notation (1000)3 x (20)2 Answer: 6.4 x 1013 SOLUTION 1 : 10002 x 206 = (1.0)2 x 103)2 x (2.0 x 101)6 = 1 x 106 x 26 x 106 = (1.0)2 x (2.0)6 x 1012 = 64 x 101 x 1012 = 6.4 x 1013 |
| 10) Represent the following numbers in scientific notation (16000) ÷ (200)4 Answer: 2.56 x 103 SOLUTION 1 : 16000 ÷ 2004 = (1.6 x 104)3 ÷ (2.0 x 10-4)4 = (1.6)3 x 1012 ÷ (24 x 108) = (1.0)2 x (2.0)6 x 1012 =
= 2.56 x 103 |