Number Systems1

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Number Systems : 

Number Systems Decimal Representation

Credits : 

Credits Guided by Miss. Sumathi,G, P.G.T., Maths Submitted by Masters Lokesh & Avinash IX Class – Section -A

Rational Numbers : 

Rational Numbers Numbers which are in p/q form are called rational numbers.

Irrational Numbers : 

Irrational Numbers The numbers which are not in p/q form are called irrational numbers.

Terminating Decimal : 

Terminating Decimal The decimal fraction in which numbers do not repeat are called terminating decimals.

Example -1 : 

Example -1 1024 ./. 2 =512

Example-2 : 

Example-2 1 ./. 2 =0.5

Example-3 : 

Example-3 3 ./. 4 = 0.75

Example-4 : 

Example-4 4 ./. 5 = 0.8

Non-Terminating Decimal : 

Non-Terminating Decimal The decimal fraction in which numbers repeat are called non-terminating decimals.

Example-1 : 

Example-1 1 ./. 3 = 0.333…….

EXample-2 : 

EXample-2 2 ./. 3 =0.66…….

Example-3 : 

Example-3 7 ./. 3 =2.333….

EXample-4 : 

EXample-4 8 ./. 3 =2.666….

Non-Terminating Non-Repeating Decimals : 

Non-Terminating Non-Repeating Decimals The decimal fraction in which numbers do not repeat and do not end are called non terminating non repeating decimals.

Example-1 : 

Example-1 1 ./. 7 = 0.14286372……

Example-2 : 

Example-2 41 ./. 99 =0.415291763….

EXample-3 : 

EXample-3 8 ./. 45 =0.172958693….

Example-4 : 

Example-4 69 ./. 550 = 0.125462793…..