Write the definitions of
A) Rational Numbers
B) Whole Numbers
C) Natural Numbers
D) Integers
In support of your answer, also represent a few of each type on a no. Line (If possible)
Answers
Answer:
Rational No.- They are the integers which we right in form of p/q where p & q should be Integers and q should not be equal to 0.
Eg. 2/4, -4/5 etc.
Natural No. are the no. which comes from 1 to infinity.
Eg. 2, 3 etc.
Whole No. Are the no. which starts from 0 to infinity.
Eg. 0, 1. Etc.
Integers Are Whole No. + Their Negatives.
Eg. -2, 4 etc.
Answer:
Rational number - The rational numbers are those numbers which can be expressed as a ratio between two integers. For example, the fractions 13 and −11118 are both rational numbers. All the integers are included in the rational numbers, since any integer z can be written as the ratio z1.
All decimals which terminate are rational numbers (since 8.27 can be written as 827100.) Decimals which have a repeating pattern after some point are also rationals: for example,
0.0833333....=112.
The set of rational numbers is closed under all four basic operations, that is, given any two rational numbers, their sum, difference, product, and quotient is also a rational number (as long as we don't divide by 0).
B) Whole number - Whole numbers are a set of numbers including all positive integers and 0. Whole numbers are a part of real numbers that do not include fractions, decimals, or negative numbers. Counting numbers are also considered as whole numbers.
C) Natural number - The natural (or counting) numbers are 1,2,3,4,5, etc. There are infinitely many natural numbers. The set of natural numbers, {1,2,3,4,5,...}, is sometimes written N for short.
D) Integers - The integers are the set of real numbers consisting of the natural numbers, their additive inverses and zero.
{...,−5,−4,−3,−2,−1,0,1,2,3,4,5,...}
The set of integers is sometimes written J or Z for short.
The sum, product, and difference of any two integers is also an integer. But this is not true for division... just try 1÷2.