﻿ NCERT Solutions CBSE Class 10 Maths Chapter 1 | Real Numbers

1. Introduction
2. Euclid’s Division Lemma
3. The Fundamental Theorem of Arithmetic
4. Revisiting Irrational Numbers
5. Revisiting Rational Numbers and Their Decimal Expansions
6. Summary

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Chapter – 1 Real number

The Simplest Way to Learn Real numbers!

What is the real number?

•      Real number is a value that represents a quantity along a line.

•      Real number consists of all rational and irrational numbers.

•      The sub sets of real numbers are:

1.      Natural number

2.      Whole number

3.       Integers

§  Natural number - The set of counting numbers, which is also a subset of real no. (N= 1, 2, 3, 4)

§  Whole number - The set of natural numbers including zero. (W=0, 1, 2, 3, 4)

§  Integers - The set of natural numbers, their negatives and zero. (Z=-2, -1, 0, 1, 2)

The ScoreXTM offers the study material inclusive of solutions for CBSE class 10 maths chapter 1 to attain the complete knowledge of the chapter.

What is the format of the course?

Our course of CBSE class 10 math chapter 1 is designed to make the concepts simpler to learn and cover all the main topics. Some are:-

Euclid’s Division Lemma

         If we have two positive integers a and b, then there exist unique integers q and r which satisfies the condition a=bq + r where 0

         Now, to calculate the Highest Common Factor (HCF) of two positive integers a and b, we use Euclid’s division algorithm.

Rational Numbers

The rational number is also known as a ratio. That means it can be written as a fraction, for example, 456/100= 4.56, 64/8=8

Irrational Numbers

All numbers that are not rational are considered irrational numbers. Irrational numbers are non-repeating digits that don’t end to the right of the decimal point. For example:-

2.55 is irrational number

400 is not an irrational number

If you want to practice and become confident on the topic, get the course now for desired results.

1. Q.No 1 - A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

12 days

15 days

16 days

18 days

1/10
2. Q.No 2 - The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?

0

1

10

19

2/10
3. Q.No 3 - Look at this series: 2, 1, (1/2), (1/4), ... What number should come next?

1/3

1/8

2/8

1/16

3/10
4. Q.No 4 - Find the wrong number in the following series. 3252 , 3080 , 2958 , 2876 , 2826

3080

2876

2826

3252

None

4/10
5. Q.No 5 - The angle of elevation of the sun, when the length of the shadow of a tree 3 times the height of the tree, is

30º

45º

60º

90º

None

5/10
6. Q.No 6 - 22, 42, 64, 88, ?

114

112

116

110

None

6/10
7. Q.No 7 - 2442 , 1222 , 614 , 312 ,163 , 90 , 55.75 Look at series carefully and find the wrong number

1222

312

90

614

None of the above

7/10
8. Q.No 8 - Look carefully for the pattern, and then choose which pair of numbers comes next 42, 40, 38, 35, 33, 31, 28

25, 22

26,23

26, 24

26,22

None

8/10
9. Q.No 9 - 5, 50, 45, 450, 445, ?, 4445

4450

4600

4550

4500

None of the above

9/10
10. Q.No 10 - During World War I Germany was defeated in the Battle of Verdun on the western front and Romania declared war on the eastern front in the year