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:

class 10 real numbers

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:

class 10

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.”