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**Complete Guide for CBSE Students**

NCERT Solutions, NCERT Exemplars, Revison Notes, Free Videos, CBSE Papers, MCQ Tests & more.

CBSE revision notes for class 8 Mathematics NCERT chapter wise notes of 8th Mathematics CBSE key points and chapter summary for 8 Mathematics all chapters in PDF format for free download. CBSE short key notes and chapter notes for revision in exams. CBSE short notes of 8th class Mathematics. Summary of the chapter for class 8 Mathematics are available in PDF format for free download. These NCERT notes are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. These notes are based on latest NCERT syllabus and designed as per the new curriculum issued by CBSE for this session. Class 8 Mathematics chapter wise NCERT note for Mathematics part and Mathematics for all the chapters can be downloaded from website and myCBSEguide mobile app for free.

- CBSE Revision notes (PDF Download) Free
- CBSE Revision notes for Class 8 Mathematics PDF
- CBSE Revision notes Class 8 Mathematics – CBSE
- CBSE Revisions notes and Key Points Class 8 Mathematics
- Summary of the NCERT books all chapters in Mathematics class 8
- Short notes for CBSE class 8th Mathematics
- Key notes and chapter summary of Mathematics class 8
- Quick revision notes for CBSE exams

- Chapter 1 Rational Numbers
- Chapter 2 Linear Equations in One Variable
- Chapter 3 Understanding Quadrilaterals
- Chapter 4 Practical Geometry
- Chapter 5 Data Handling
- Chapter 6 Squares and Square Roots
- Chapter 7 Cubes and Cube Roots
- Chapter 8 Comparing Quantities
- Chapter 9 Algebraic Expressions and Identities
- Chapter 10 Visualising Solid Shapes
- Chapter 11 Mensuration
- Chapter 12 Exponents and Powers
- Chapter 13 Direct and Inverse Proportions
- Chapter 14 Factorisation
- Chapter 15 Introduction to Graphs
- Chapter 16 Playing with Numbers

Key Notes for CBSE Board Students for Class 08 Important topics of all subjects are given in these CBSE notes. These notes will provide you overview of the chapter and important points to remember. These are very useful summary notes with neatly explained examples for best revision of the book.

CBSE class-08 Key points and summary of the lessons is given under this section for Science, Mathematics, Hindi, English, Social Science and other subjects. The notes includes all concepts given in NCERT books and syllabus issued by CBSE for class-08. Key notes are 'to the point' capsules for quick revision of the chapter. We have covered the whole syllabus in these notes.

- Revision Notes for class-08 Mathematics
- Revision Notes for class-08 Science
- Revision Notes for class-08 Social Science

** CBSE Class 8 Mathematics
Revision Notes
Chapter – 01
Rational Numbers**

- Rational numbers are
**closed**under the operations of addition, subtraction and multiplication. - The operations addition and multiplication are

(i)**commutative**for rational numbers.

(ii)**associative**for rational numbers. - The rational number 0 is the
**additive identity**for rational numbers. - The rational number 1 is the
**multiplicative identity**for rational numbers. - The additive inverse of the rational number abab is abab and vice-versa.
- The
**reciprocal or multiplicative inverse**of the rational number abab is cdcd if ababxcdcd=1 - Distributivity of rational numbers: For all rational numbers a, b and c,

a(b + c) = ab + ac and a(b – c) = ab – ac - Rational numbers can be represented on a number line.
- Between any two given rational numbers there are countless rational numbers. The idea of mean helps us to find rational numbers between two rational numbers.
**Positive Rationals:**Numerator and Denominator both are either positive or negative. Example: 47,−3−447,−3−4**Negative Rationals:**Numerator and Denominator both are of opposite signs. Example: −211,4−9−211,4−9**Additive Inverse:**Additive inverse (negative) abab+−ab−ab=−ab−ab+abab=0, −ab−ab is the additive inverse of abandababandab is the additive inverse of −ab−ab.**Mulitiplicative Inverse (reciprocal): ababxcdcd=1=cdcdxabab**where cdcd is the reciprocal of abab. Zero has no reciprocal. The reciprocal of 1 is1 and of -1 is -1.

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