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■ Rule  :   Multiply the given numbers considering them without the decimal point. In the product, the decimal point is marked off  to obtain as many places of  decimal as is the sum of  the number of  decimal places…

■ Rule  :   Shift the decimal point to the right by as many places of  decimal as is the power of  10.

 e.g. Evaluate  :   (i)  5.4203  100        (ii)  .0189  1000         (iii)  .003  100…

■ Rule  :   In  the denominator, put  1  under the decimal point and annex with it as many zeros  as is the number of  digits after the decimal point. Now, remove the decimal point and reduce the fraction to lowest t…

☼ Decimal  Fractions  :   Fractions in which the denominators are powers of  10  are called  decimal fractions.

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(1) Evaluate :   25  –  | –  8 |  –  | 7 |  +  | – 31 |.

Soln. 25  –  | – 8 |  –  | 7 |  +  | – 31 |     =     25 –  8 – 7 +  31     =     41

(2) Find the value of  i¹⁸.

Soln. i¹⁸  =   …

■Sequence  :   A succession of  numbers formed and arranged in a definite order according to certain definite rule, is called a sequence.

The number occurring at the n-th place of  a sequence is called its n-th term.

■P…