Natural Numbers
Trending Questions
Use Euclids division lemma to show that the cube of any positive integer is of the form or .
Consider the number 4n, where n is a natural number. Check whether there is any value of n for which 4n ends with the digit zero. [2 MARKS]
Find the irrational number between and .
State whether the following statements are true or false. Give reasons for your answer.
(i) Every natural number is a whole number.
(ii) Every whole number is a natural number.
(iii) Every integer is a whole number.
(iv) Every integer is a rational number.
(v) Every rational number is an integer.
(vi) Every rational number is a whole number.
Find two rational and irrational numbers between and .
Show that cube of any positive integer is of the form , and for some integer m.
Question 5
Check whether 6n can end with the digit 0 for any natural number n.
Write all prime numbers between 50 and 100.
Is difference of two irrational numbers always an irrational number?
Write the greatest -digit number and express it in terms of its prime factors.
3+√3 is a rational number. True or False?
True
False
List all the prime numbers between and .
All Natural numbers, Whole numbers and Integers are rational numbers.
True
False
By default, a real number is treated as an
Integer
Float
Double
Long double
Find three rational numbers between
and .
Show that the square of any positive integer cannot be of the form for any integer .
Are the following statements true or false ? Give reasons for your answer.
(i) Every whole number is a natural number.
(ii) Every integer is a rational number.
(iii) Every rational number is an integer.
(iv) Every natural number is a whole number.
(v) Every integer is a whole number.
(vi) Every rational number is a whole number.
Write in figures: Eight crores eight lakh three thousand nine hundred five
Show that the square of any positive integer cannot be of the form or for any integer .
Write in figures:
Eight crore, twenty lakh, thirty-seven thousand, one hundred fifty-four.
Simplify 3√5+√3 by rationalising the denominator.
3(√3−√5)2
3(√5−√3)2
3(√5−√3)8
3(√5−√2)2
List all the prime numbers between and .
List all the prime numbers between and .
Find two rational numbers between and .
What is the least rationalizing factor of √24?
√24
√6
√2
√3
34 lies between 12 and 1.
True
False