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Rational Numbers | Speed Notes
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Rational numbers are closed under the operations of addition, subtraction and multiplication, But not in division. (Scroll down to continue …)
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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 additive inverse of the rational number a/b is -a/b and vice- versa.
The reciprocal or multiplicative inverse of the rational number
is if a/b is c/d if (a/b)(c/d) =1
Distributive property 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: 2/3, -4/-5
Positive Rationals: Numerator and Denominator both are either positive or negative.
Example: -2/3, 4/-5
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- Rational Numbers | Study
- Linear Equations In One Variable | Study
- Understanding Quadrilaterals | Study
- Data Handling | Study
- Squares And Square Roots | Study
- Cubes And Cube Roots | Study
- Comparing Quantities | Study
- Algebraic Expressions And Identities | Study
- Mensuration | Study
- Exponents And Powers | Study
- Direct And Inverse Proportions | Study
- Factorisation | Study
- Introduction to Graphs | Study
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