Therefore,^80.^2648. 002 x^10001000 =^82642.^8 =^4132.^4
Decimal division is similar to ordinary division except for the removal of the decimal
points by multiplying both the divisor and the dividend by a suitable multiple of 10.
Emphasize that both the dividend and the divisor are to be multiplied by the same
multiple of 10. Once the decimals are removed then decimal division becomes ordinary
division. Use of abacus comes in handy for understanding this process.
- Ratio
Ratio means comparison of two similar quantities by division. The ratio should be in
the lowest form. The order in the ratio is very important and can never be interchanged.
Note that ratio has no unit. Usually the symbol “ : ” is used to denote “ratio”.
In the ratio a : b , ‘a’ is called the precedent and ‘b’ is called the antecedent. The idea
of ratio can be explained using classroom situation.
If the particular class contains both boys and girls, an ideal example may be
quoted by taking the boys and the girls into consideration. Say for instance, if the
class contains 15 boys and 8 girls, then the ratio of the number of boys to the number
girls in the class is in the ratio 15 : 8.
- Comparison of ratios
Two or more ratios can be compared by converting the given ratios into fractions
with the same denominator.
Eg. : Compare 3 : 4 and 4 : 5
Here the L.C.M. of the denominators 4 and 5 is 20.
20
15
5
5
4
3
4
(^3) = × =
20
16
4
x^4
5
4
5
(^4) = =
20
15
20
(^16) >
Therefore, 54 is greater than 43