Topics
Basic Concepts in Geometry
Angles
Integers
Operations on Fractions
- Concept of Fractions
- Conversion Between Improper Fractions and Mixed Numbers
- Addition of Fraction
- Subtraction of Fraction
- Fraction on the Number Line
- Multiplication of Fraction
- Concept of Reciprocal or Multiplicative Inverse
- Division of Fractions
Decimal Fractions
Bar Graphs
Symmetry
Divisibility
HCF-LCM
Equations
Ratio and Proportion
Percentage
Profit –Loss
Banks and Simple Interest
Triangles and Their Properties
Quadrilaterals
Geometrical Constructions
- Perpendicular Lines
- Drawing a Perpendicular to a Line at a Point on the Line
- Drawing a perpendicular to a line from a point outside the line
- The Perpendicular Bisector
- Drawing the perpendicular bisector of a segment using a compass.
- Carl Gauss’s Clever Trick
Three Dimensional Shapes
Definition
Division: Division is an arithmetic operation that tells us the number of groups that can be made out of a number of factors or the number of multiples that should be there in a group.
Dividend: The word dividend means the number that is to be divided.
Divisor: In a division, the number that divides the dividend is called the divisor.
Divisible: A number is said to be divisible by another number, if, in the process of division, the remainder is zero.
Quotient: A quotient is a result obtained in the division process.
Remainder: Remainder is the number that is left over after dividing.
Notes
Concept of Divisor, Dividend:
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Division is an arithmetic operation that tells us the number of groups that can be made out of a number of factors or the number of multiples that should be there in a group.
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The symbol denotes division - ÷
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Dividend: The word dividend means the number that is to be divided.
Divisor: In a division, the number that divides the dividend is called the divisor.
Divisible: A number is said to be divisible by another number, if, in the process of division, the remainder is zero.
Quotient: A quotient is a result obtained in the division process.
Remainder: Remainder is the number that is left over after dividing.
∴ Dividend = Divisor × Quotient + Remainder.
- When we divide 48 by 4, the remainder is zero. Therefore, 4 is a factor of 48, and 48 is a multiple of 4.
- Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
