3. Define and give examples of the Following Terms
a) Prime Numbers
b) Composite Numbers
c) Whole Numbers
d) Rational Numbers
e) Integers
f) Irrational Numbers
g) Real Numbers
h) HCF
i) LCM
Answers
ANSWER:-
A)PRIME NUMBER
A prime number is a positive integer grater than one, that can only be exactly divided by the positie integers 1 and itself withoutleaving a remainder. For example 7 is prime, because it can only be divided by 1 and 7.
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B)COMPOSITE NUMBER
A composite number is an integer than is composed of integer factors. It is the opposite of a prime number. A composite number is one that can be formed by multiplying some integers* together. For example 18 is a composite .
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C)WHOLE NUMBER
In mathematics, whole numbersare the basic counting numbers 0, 1, 2, 3, 4, 5, 6, … and so on. 17, 99, 267, 8107 and 999999999 areexamples of whole numbers.Whole numbers include naturalnumbers that begin from 1 onwards. Whole numbers include positive integers along with 0.
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D)RATIONAL NUMBER
If a number that can be expressed in the form of p/q is called rational numbers. Here p and q are integers, and q is not equal to 0. Arational number should have a numerator (p) and denominator (q).Examples: 10/2, 30/3, 100/5.
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E)INTEGERS
An integer (pronounced IN-tuh-jer) is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14, . 09, and 5,643.1. ... Z = {..., -3, -2, -1, 0, 1, 2, 3, ...}
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F)IRRATIONAL NUMBER
Irrational" means "no ratio", so it isn't a rational number. We aren't saying it's crazy! Its decimal also goes on forever without repeating.Example: π (the famous number"pi") is an irrational number, as it can not be made by dividing two integers.
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G)REAL NUMBER
Real Number. The type of number we normally use, such as 1, 15.82, −0.1, 3/4, etc. Positive or negative, large or small, wholenumbers or decimal numbers are all Real Numbers. They are called "Real Numbers" because they are not Imaginary Numbers.
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H)HCF
Highest Common Factor (HCF): The largest or greatest factor common to any two or more given natural numbers is termed as HCFof given numbers. Also known as GCD (Greatest Common Divisor). For example, HCF of 4, 6 and 8 is 2. Here, the highest common factor of 4, 6 and 8 is 2.
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