NCERT Maths Solutions Class 10-Real Numbers – Rational Numbers
We will understand the few terms related to number system-
Natural Numbers – All the counting numbers 1, 2, 3,4 …., etc are known as natural numbers.
Whole Numbers – All counting numbers together with 0 form the collection of whole numbers
Thus 0,1,2,3,4,5….etc are whole numbers.
Integers – All counting numbers, negatives of counting numbers and 0 forms the collection form the collection of integers.
Thus -1,-5, 0, 5 6….etc are all integers.
Rational Numbers –The number of the form p/q, where p and q are integers and q is not equal to 0 are called rational numbers.
Rational Numbers in Decimal forms – Every rational number when expressed in decimal form is expressible either in terminating or in non terminating repeating decimal form.
To find out whether a given rational number is a terminating or repeating decimal
Let x be a rational number whose simplest form is p/q, where p and q are integers and q is not equal to 0 then,
- X is a terminating decimal only q is of the form (2m * 5n )for some non-negative integers m and n
- X is a non terminating repeating decimal if q is not equal to (2m * 5n)
Grab Maths Class 10 tutorials on our website. Special packages available for Class 10 maths
For the practice of Rational and Irrational number, click on NCERT Class 10 Maths
Few Solved examples-
Example: – Without actual division show that each of the following rational numbers is a non terminating repeating decimal.
90 = (2*3*3*5)
Out the above none of the numbers are factors of 17
So, 17/90 is in the simplest form.
NCERT Solutions for Class 10 Maths available.
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