Page 258 - ICSE Math 6

Decimal to Fraction Fraction to Decimal
• Write the given number • Convert the fraction into its
without decimal point as the equivalent decimal fraction.
numerator. • Take the numerator and put
• Write 1 in the denominator the decimal point after as
followed by as many zeros CONVERSION many digits from the right
as the number of digits after as the number of zeroes in
the decimal point. the denominator.
E.g.: 23.456 = 23456 E.g.: 12 = 96 = 0.096
1000 125 1000

SET THEORY

Types of Sets Cardinality Representation of a Set

Finite sets: Having finite number Equal to number
of elements of elements Roaster form Set-builder form

{2, 4, 6, 8, 10} {x : x is an even
Infinite sets: Having infinite Not defined number less than 10}
number of elements
Set

A well defined collections of objects.
Empty sets: Having no element Zero E.g.: All even numbers from 1 to 10.

RATIO, PROPORTION AND UNITARY METHOD

Proportion Ratio
Two equal ratios are said to be in proportion. Method of comparison by division

x : y : : a : b
• Mean terms: y and a First term or a : b Second term
• Extreme terms: x and b antecedent or consequent
• Product of extremes = Product of means
i.e., x × b = y × a

Direct Variation Indirect Variation
Two quantities are in direct variation, if an increase Two quantities are in indirect variation, if an increase
or decrease in one quantity causes a corresponding or decrease in one quantity causes a corresponding
increase or decrease in the other quantity. decrease or increase in the other quantity.
For e.g.: Number of books bought and the cost. For e.g.: Amount of work done and number of workers.

FUNDAMENTAL CONCEPTS OF ALGEBRA

CONSTANT Degree of a Polynomial Coefficient
A quantity with
fixed A The highest power of the Coefficient of a factor in a
numerical quantity term is the product of the
value. whose literal(s) in its terms, For e.g.:
numerical The degree of polynomial remaining factors of the
value is not 2 term. For e.g.: Coefficient
fixed. x + 2x – 1 is 2.
VARIABLE of x in 2xy is 2y.

242