1. Real Numbers Mathematics class 10 exercise Assignment
1. Real Numbers Mathematics class 10 exercise Assignment ncert book solution in english-medium
NCERT Books Subjects for class 10th Hindi Medium
Key Points and Introduction
Numbers
There are two types of Numbers.
1. Real Numbers
2. Complex Numbers (Real numbers + Imaginary Numbers)
Real Numbers: The numbers which can be represented on the number line by a unique point are called real numbers.
Examples: -1, -2, -3, -4 ....................... , and 1, 2, 3, 4, 5.........................
Complex Numbers: Coplex numbers are the numbers which consist of both real and Imaginary numbers.
Examples: 2 + i√3, where 2 is real part and i√3 is imaginary part.
Real Numbers
(A) Rational Numbers: The numbers which can be express in the form of p/q, and q≠0 such a numbers are known as real numbers.
(B) Irrational Numbers: The numbers which are not rational numbers but these an be represented on a number line, such numbers are known as irrational numbers.
Rational Numbers
(I) Integers:
(a) Whole numbers: These are the set of positive integers from 0. Which have not decimal and fractional part. Such numbers are known as whole numbers.
Example: 0, 1, 2, 3, 4, 5, ...........................
(i) Natural Numbers: Natural numbers counting begin from 1 to ∞ (infinty). such numbers are called natural numbers.
Ex: 1, 2, 3, 4, 5 ....................................... ∞.
(ii) Zero: 0
(b) Negative integers: The numbers before 0 on number line is called as negative integers these are -1, -2, -3, -4 ............................. -∞.
(II) Fractional Numbers:
(a) Proper fraction
(b) Improper fraction
Natural numbers
(a) Odd Numbers: The numbers which can not be divided by 2 are called odd numbers.
Example: 1, 3, 5, 7, 9, 11, 13, 15 ................................................. ∞.
(b) Even Numbers: The numbers which can be divided by 2 are called even numbers.
Example: 2, 4, 6, 8, 10, 12, 14, 16 ................................................ ∞.
(c) Prime Numbers:
(d) Composite Numbers:
(e) Co-prime Numbers:
(f) Perfect Numbers:
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Assignment
Q1. एक कक्षा के 20 लडके तथा 15 लड़कियों को n वर्गों में इस प्रकार बाँटा गया कि प्रत्येक वर्ग में x लडके तथा y लड़कियाँ राखी गई | x, y तथा n के मान ज्ञात कीजिए | कक्षा में किन मूल्यों का प्रदर्शन किया गया ?
A class of 20 boys and 15 girls is divided into n groups so that each group has x boys and y girls. Find x, y and n. What values are reffered in a class ?
solution:
HCF of 20 and 15 = 5
so number of groups = 5
∴ Number of students in each group (n) = (20 + 15)/5 = 7
n =7
Hence, x = 20/5 = 4 boys
y = 15/5 = 3 girls.
Value : Promote co-education, Promote and help to educate girl child, Role of activity in groups.
Q2. यदि d, 40 और 65 का HCF है तो, पूर्णांकों x और y के ऐसे मान ज्ञात कीजिए, जो कि d = 40x + 65y को संतुष्ट करते है |
if d is the HCF of 40 and 65, find the value of integers x and y which satisfiy d = 40x + 65y.
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Mathematics Chapter List
1. Real Numbers
2. Polynomials
3. Pair of Linear Equations in Two Variables
4. Quadratic Equations
5. Arithmetic Progressions
6. Triangles
7. Coordinate Geometry
8. Introduction to Trigonometry
9. Some Applications of Trigonometry
10. Circles
11. Constructions
12. Areas Related to Circles
13. Surface Areas and Volumes
14. Statistics
15. Probability
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