| Non-Rationalised NCERT Books Solution | ||||||
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Class 6 Mathematics NCERT Solutions (Non-Rationalised)
Chapter 1 Knowing Our Numbers
Chapter 1 – Knowing Our Numbers introduces students to the fascinating world of large numbers, place values, and estimation techniques. It helps learners understand how to compare and order numbers up to $10^7$. Real-life examples show how numbers are used in measurements, money, and population data. The chapter also strengthens the concept of rounding off numbers and enhances computational accuracy. These NCERT Class 6 Maths Non-Rationalised Solutions help build a solid foundation for arithmetic and logical reasoning.
Chapter 2 Whole Numbers
Whole Numbers introduces the set of numbers beginning from zero $(0, 1, 2, 3, \dots)$ and explores their properties and patterns. Students learn the use of a number line to visualize addition and subtraction. The chapter also highlights the closure property, commutative property, and associative property of whole numbers. Using Non-Rationalised NCERT Class 6 Solutions, learners understand the significance of identity elements and predecessor-successor relationships, which play a key role in further number system studies.
Chapter 3 Playing With Numbers
This chapter makes number theory fun by teaching factors, multiples, prime and composite numbers. Students explore divisibility rules for numbers like $2, 3, 5, 9$, and $10$. It also introduces the concepts of HCF (Highest Common Factor) and LCM (Least Common Multiple) with solved examples. The Non-Rationalised NCERT Maths Solutions simplify tricky topics such as prime factorization and common multiples, improving accuracy in mathematical problem-solving.
Chapter 4 Basic Geometrical Ideas
Basic Geometrical Ideas provides an introduction to geometry by explaining key terms like points, lines, line segments, rays, angles, triangles, and circles. Students understand how to identify and name geometrical figures. The chapter uses real-world connections such as edges of objects and road intersections to enhance visualization. It also builds the foundation for advanced geometry topics covered in higher classes of CBSE Mathematics.
Chapter 5 Understanding Elementary Shapes
This chapter develops an understanding of 2D and 3D shapes like rectangles, triangles, and cubes. Students learn to classify shapes based on sides and angles, including acute, right, obtuse, and straight angles. Through the Non-Rationalised NCERT Class 6 Maths Solutions, learners measure angles using a protractor and compare shapes by their geometrical properties. Visual learning enhances recognition and strengthens spatial reasoning.
Chapter 6 Integers
Integers extend the number system by including negative numbers like $-1, -2, -3, \dots$. Students learn to represent integers on a number line and perform operations such as addition and subtraction. For example, $(-5) + 3 = -2$. The Non-Rationalised NCERT Solutions help in understanding the rules of signs and applications of integers in temperature, bank balance, and altitude problems.
Chapter 7 Fractions
Fractions introduces numbers of the form $\frac{a}{b}$ where $b \neq 0$. Students explore proper, improper, and mixed fractions along with equivalent fractions. They perform operations like addition and subtraction of fractions with different denominators. The NCERT Non-Rationalised Solutions provide step-by-step guidance on simplifying and comparing fractions using real-world examples such as sharing, recipes, and measurements.
Chapter 8 Decimals
In Decimals, students learn to represent and compare decimal numbers like $0.5$, $1.25$, and $3.75$. The chapter connects decimals with fractions and metric units of measurement. Using Non-Rationalised NCERT Solutions, learners perform addition, subtraction, and multiplication of decimals. Practical examples such as money transactions and length conversions make this topic relatable and useful for daily applications.
Chapter 9 Data Handling
Data Handling teaches how to collect, organize, and interpret data effectively. Students represent information through pictographs and bar graphs. This chapter introduces basic statistical ideas like frequency and observation. Through Non-Rationalised Class 6 NCERT Solutions, learners develop the ability to read and analyze charts — a skill useful in mathematics, science, and economics.
Chapter 10 Mensuration
Mensuration deals with the measurement of geometric figures such as perimeter and area. Students calculate perimeters of rectangles, squares, and regular shapes using formulas like $P = 2(l + b)$. They also learn to find the area of rectangles and triangles. The Non-Rationalised NCERT Maths Solutions make practical use of these formulas in real-life scenarios such as fencing, flooring, and gardening.
Chapter 11 Algebra
Algebra introduces the use of letters and symbols to represent numbers. Students learn about variables, constants, and algebraic expressions. They simplify simple equations like $x + 5 = 9$ to find the value of $x$. The Non-Rationalised NCERT Class 6 Maths Solutions explain how algebra helps in generalizing arithmetic and solving real-world mathematical problems.
Chapter 12 Ratio And Proportion
In Ratio and Proportion, students understand how to compare quantities using ratios and identify equal relationships using proportion. They solve problems based on real-life examples such as maps, recipes, and speed-distance relations. The Non-Rationalised NCERT Solutions guide learners to apply formulas like $\text{Ratio} = \frac{\text{first quantity}}{\text{second quantity}}$ effectively in daily life and competitive exams.
Chapter 13 Symmetry
Symmetry explores patterns that remain unchanged when flipped or rotated. Students identify lines of symmetry in shapes such as triangles, rectangles, and circles. Using Non-Rationalised Class 6 NCERT Solutions, learners relate symmetry to art, architecture, and design. The concept of mirror symmetry helps in understanding geometrical balance and beauty in nature.
Chapter 14 Practical Geometry
Practical Geometry provides step-by-step instructions for constructing geometrical shapes using a compass, ruler, and protractor. Students learn to draw circles, angles, perpendicular bisectors, and triangles with accuracy. The Non-Rationalised NCERT Solutions enhance construction skills that are essential for geometry-based problems in higher grades and competitive exams.