Prime numbers
It can only be divided by one or itself i.e., a prime number has no factors other than 1 and itself. e.g., 2, 3, 5, 7, 11, 13, 17, 19, 23, are examples of prime numbers..
Prime factors
They are prime numbers which are factors of a given number. e.g., Prime factors of 42 = 2 x 3 x..
(i) Roster Method
This method is also known as tabular method. In this method, a set is represented by listing all the elements of the set, the elements being separated by commas and are enclosed within flower brackets {..
Question 3
Question: What is a prime number? Answer: A number which has only two factors, namely 1 and then number itself is called a prime number..
Basic number theory question and answers
Question 1 - Question: List the elements of the following sets. Answer: i) Omit o and u from the vowels a, e, i, o, u to get {a,e,i} ii) There are exactly two such names {Karnataka, Keral..
Question 1 - Question: List the elements of the following sets. Answer: i) Omit o and u from the vowels a, e, i, o, u to get {a,e,i} ii) There are exactly two such names {Karnataka, Keral..Example 1:
01. If P(n) is the statement n 2 -n+41 is prime, prove that P(1), P(2) are true but P(41) is not tru..
Suggested answer:
Let P(n) = n 2 - n + 41 is a prime number P(1) = (1) 2 - 1 + 41 = 41 is a prime number P(1) is true. P(2) = (2) 2 - 2 + 41 = 43 is a prime number P(2) is also true. P(41) = (41) 2 - 41 + 41 = (41) 2 is a prime number..
Let P(n) = n 2 - n + 41 is a prime number P(1) = (1) 2 - 1 + 41 = 41 is a prime number P(1) is true. P(2) = (2) 2 - 2 + 41 = 43 is a prime number P(2) is also true. P(41) = (41) 2 - 41 + 41 = (41) 2 is a prime number..Question 1 Question: List the elements of the following sets. Answer: i) Omit o and u from the vowels a, e, i, o, u to get {a,e,i} ii) There are exactly two such names {Karnataka, Kerala..
Question: List the elements of the following sets. Answer: i) Omit o and u from the vowels a, e, i, o, u to get {a,e,i} ii) There are exactly two such names {Karnataka, Kerala..Suggested answer:
Find the product (ac), of the coefficient of x 2 and the last term. List the factor pairs of ac. Choose a factor pair whose sum is the coefficient of the middle term. Rewrite the polynomial by splitting the middle term. Regroup and factorise..
Find the product (ac), of the coefficient of x 2 and the last term. List the factor pairs of ac. Choose a factor pair whose sum is the coefficient of the middle term. Rewrite the polynomial by splitting the middle term. Regroup and factorise..To represent an irrational number on the number line
To mark , an irrational number, on the number line. Let OA = AB = 1 unit and Then in rt. = 1 + 1 Cut off OP = OB = on the number l..
To mark , an irrational number, on the number line. Let OA = AB = 1 unit and Then in rt. = 1 + 1 Cut off OP = OB = on the number l..See what our Users say :
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