Maharashtra State BoardHSC Science (General) 11th
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Answer the following: Find approximate value of 14.08 upto four places of decimals - Mathematics and Statistics

Sum

Answer the following:

Find approximate value of `1/4.08` upto four places of decimals

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Solution

`1/4.08` = (4.08)–1

= (4 + 0.08)–1

= [4 (1 + 0.02)]–1

= 4–1 (1 + 0.02)–1

= `1/4 [ 1 + (-1)(0.02) + ((-1)(-1 - 1))/(2!) (0.02)^2 + ......]`

= `1/4[1 + (-1)(0.02) + ((-1)(-2))/2 (0.02)^2 + ......]`

= `1/4 (1 - 0.02 + 0.0004 + ....)`

= `0.9804/4`

= 0.2451

Concept: Binomial Theorem for Negative Index Or Fraction
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APPEARS IN

Balbharati Mathematics and Statistics 2 (Arts and Science) 11th Standard Maharashtra State Board
Chapter 4 Methods of Induction and Binomial Theorem
Miscellaneous Exercise 4 | Q II. (22) | Page 86
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