Representation on Number Line
Graphically positioning rational numbers accurately on a straight number line.
Definition
Rational numbers can be visually represented on a straight line called the number line, where positive numbers lie to the right of zero and negative numbers to the left. To represent a rational number p/q, the unit space between integers is divided into 'q' equal parts, and 'p' parts are counted from zero.
Worked examples
To represent 3/4, divide the segment between 0 and 1 into 4 equal parts and take the 3rd mark.
To represent -1/2, move 1/2 of a unit to the left of 0 on the number line.
To represent an improper fraction like 5/3, write it as 1 and 2/3, then locate it between 1 and 2 by dividing that segment into 3 equal parts.
Common mistakes
- • Dividing the unit space into the number of parts equal to the numerator instead of the denominator.
- • Placing negative rational numbers to the right of zero.
Introduction to Rational Numbers
Rational Numbers
Properties of Rational Numbers
Rational Numbers
Rational Numbers Between Two Rational Numbers
Rational Numbers
Algebraic Expressions and Equations
Linear Equations in One Variable
Solving Equations with Variables on Both Sides
Linear Equations in One Variable
Reducing Equations to Simpler Form
Linear Equations in One Variable