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difference between significant figure and decimal place

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Find the square root of 7.832 correct to :

(i) 2 decimal places

(ii) 2 significant digits.

Q. Determine how many eiphers there are between the decimal point and the first significant digits in

{(\frac{1}{2})}^{100}

Q. Number of cyphers after decimal before a significant figure comes in

{(\begin{matrix} \frac{5}{3} \end{matrix})}^{- 100}

{log}_{10} 5 = 0.6990, {log}_{10} 3 = 0.4770

.

Q. The number of zeros between the decimal point and first significant digit of

{(0.036)}^{16}

l o g 2 = 0.301

l o g 3 = 0.477

Q. The number of zeros between decimal & first significant digit in

{(\begin{matrix} \frac{1}{6} \end{matrix})}^{200}

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