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DECIMAL FRACTIONS Examples :

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Examples :

(1) 0.000008569 when expressed in scientific notation, is :

Soln. 0.000008569 = 8.569 x 10^-6

( Decimal–point changes its place 6 digits right and so we have 10^-6 )

(2) 47896 when expressed in scientific notation, is :

Soln. 47896 = 4.7896 x 10 ⁴

( Decimal–point changes its place 4 digits left and so we have 10 )

(3) Which one of the following is the greatest ?

Soln.

(4)

Soln.

(4) What value will come in place of question mark in the following equations ?

(i) 0.005 ? = 0.5 (ii) ? .025 = 160

Soln.

(5) If $\frac{1}{5.253}$ = .1904, then find the value of $\frac{1}{.0005253}$

Soln.

(6) Simplify : $\frac{0.06\times 0.06\times 0.06+0.04\times 0.04\times 0.04}{0.06\times 0.06-0.06\times 0.04+0.04\times 0.04}$