math

29
May
Square Root

Square Root : The square root of  a given number is that number whose square is equal to the given number.

If   x2 = y,  we say that square root of  ‘y’ is  ‘x’ and  we write,

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29
May
Square, Square Roots & Cube Roots

Square of  a number : If a number is multiplied by itself the product so obtained is called the square of  that number.

 e.g. Square of  9  =  9 \times

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29
May
Examples

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

Soln. 0.000008569    =    8.569  \times

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29
May
H.C.F. & L.C.M. of Decimal Fractions

Rule  :   In the given decimal numerals, make same number of  decimal places by annexing zeros if needed. Considering these numbers without decimal places, find H.C.F.  or  L.C.M. as the case may be. Now, in the re…

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29
May
Dividing a Decimal Fraction by a Decimal Fraction

Rule  :   Multiply both the dividend and the divisor by a suitable power of  10 to make the divisor a whole number. Now, proceed as above.

 e.g. (i) Evaluate :  (a)  42

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28
May
Dividing a Decimal Fraction by a Counting Number

Rule  :   Divide the given decimal fraction without the decimal point by the given counting number. Now, in the quotient, put the decimal point to give as many paces of  decimal as are there in the dividend.

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28
May
Multiplication of Two or More Decimal Fractions

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…

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28
May
Multiplication of a Decimal Fraction by a Power of 10

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…

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