# Real Numbers Class 10 E.x 1.1

NCERT Solutions for Math Chapter 1 in Class 10. When performing homework, the real numbers NCERT solutions for class 10 math are quite helpful. Class 10 Maths Ex 1.1 Chapter 1 NCERT Solutions were created by qualified inlarn.com tutors. Real Numbers Exercise 1.1 from Chapter 1 of the NCERT textbook has comprehensive solutions to every question.

## Real Numbers Class 10 E.x 1.1

Ex 1.1 Class 10 Maths Question 1.
Use Euclid’s Division Algorithm to find the HCF of:
(i) 135 and 225
(ii) 196 and 38220
(iii) 867 and 255
Solution: Ex 1.1 Class 10 Maths Question 2.
Show that any positive odd integer is of the form 6q + 1, or 6q + 3, or 6q + 5, where q is some integer.
Solution Ex 1.1 Class 10 Maths Question 3.
An army contingent of 616 members is to march behind an army band of 32 members in a parade. The two groups are to march in the same number of columns. What is the maximum number of columns in which they can march?
Solution: Ex 1.1 Class 10 Maths Question 4.
Use Euclid’s division lemma to show that the square of any positive integer is either of the form 3m or 3m + 1 for some integer m.
Solution: Ex 1.1 Class 10 Maths Question 5.
Use Euclid’s Division Lemma to show that the cube of any positive integer is either of the form 9m, 9m + 1 or 9m + 8.
Solution: ## Real Numbers Class 10 E.x 1.1

The set of real numbers is composed of both rational and irrational numbers. R stands for the set of real numbers. As a result, every real number falls into one of two categories: rational or irrational. It has a non-terminating decimal representation in both scenarios. Any integer that has a decimal representation that repeats, including recurring zeroes, is considered to be rational; otherwise, the number is irrational. Every point on the number line “l” corresponds to a distinct real number, or we may say that every point on the line “l” corresponds to a real number (rational or irrational).

As a result of the debate above, we may say that:

Every real number has a specific point on the number line that corresponds to it, and vice versa: every point on the number line has a real number that corresponds to it. As a result, it is clear that real numbers and points on the number line ‘l’ correspond one to one, which is why the number line is known as a “real number line.”