Significant Figures

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Significant Figures

Q: What is the no. of significant figures of an exact number?

A: An exact number has infinite number of signicant figures as it is known for sure and therefore there is no question of doubful digit.

Sum of the coefficients in the expansion of $(x+y)^n$ ....

If the sum of the coefficients in the expansion of $(x+y)^n$ is 4096, then the greatest coefficient in the expansion is _ _ _ _ . Solution $C_0 + C_1 + C_2 + C_3 + ......................... + C_n =4096 $ $\therefore 2^n = 4096 =2^{12} $ $\Rightarrow n = 12 $ Greatest coefficient = ${}^{12}{C_6} = 924$

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Significant Figures

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Sum of the coefficients in the expansion of $(x+y)^n$ ....