 
                 
                InterviewSolution
| 1. | Write the following numbers in the usual form:(i) \(4.83\times 10^{7}\)(ii) \(3.02\times 10^{-6}\)(iii) \(4.5\times 10^4\)(iv) \(3\times 10^{-8}\)(v) \(1.0001\times 10^{9}\)(vi) \(5.8\times 10^{2}\)(vii) \(3.61492\times 10^{6}\)(viii) \(3.25\times 10^{-7}\) | 
| Answer» (i) \(4.83\times 10^{7}\) In case of positive power of 10. The usual form of the number is written after multiplying the given numbers and then counts the numbers from the right and put decimal. Step 1: Multiply the given numbers: 4.83× 10000000 = 4830000000 Step 2: Put decimal after two places from the right: 48300000.00 Step 3: Write the number after in the usual form: 48300000 (ii) \(3.02\times 10^{-6}\) In case of negative powers, decimal sifts to left equal to the power of 10. Step 1: Here the power of 10 is negative 6. Step 2: Therefore decimal will sift six places to the left. i.e: 0.00000302 (iii) \(4.5\times 10^{4}\) In case of positive power of 10. The usual form of the number is written after multiplying the given numbers and then counts the numbers from the right and put decimal. Step 1: Multiply the given numbers: 4.5× 10000 = 450000 Step 2: Put decimal after one place from the right: 45000.0 Step 3: Write the number after in the usual form: 45000 (iv) \(3\times 10^{-8}\) In case of negative powers, decimal sifts to left equal to the power of 10. Step 1: Here the power of 10 is negative 8. Step 2: Therefore decimal will sift eight places to the left, and we write zeros before the number to make eight places . i.e: 0.00000003 (v) \(1.0001\times 10^{9}\) In case of positive power of 10. The usual form of the number is written after multiplying the given numbers and then counts the numbers from the right and put decimal. Step 1: Multiply the given numbers: 1.0001× 1000000000 = 10001000000000 Step 2: Put decimal after four places from the right: 1000100000.0000 Step 3: Write the number after in the usual form: 1000100000 (vi) \(5.8\times 10^{2}\) In case of positive power of 10. The usual form of the number is written after multiplying the given numbers and then counts the numbers from the right and put decimal. Step 1: Multiply the given numbers: 5.8× 100 = 5800 Step 2: Put decimal after one place from the right: 580.0 Step 3: Write the number after in the usual form: 580 (vii) \(3.61492\times 10^{6}\) In case of positive power of 10. The usual form of the number is written after multiplying the given numbers and then counts the numbers from the right and put decimal. Step 1: Multiply the given numbers: 3.61492 × 1000000 = 5800 Step 2: Put decimal after five places from the right: 3614920.00000 Step 3: Write the number after in the usual form: 3614920 (viii) \(3.25\times 10^{-7}\) In case of negative powers, decimal sifts to left equal to the power of 10. Step 1: Here the power of 10 is negative 8. Step 2: Therefore decimal will sift seven places to the left, and we write zeros before the number to make seven places . i.e: 0.000000325 | |