Class 8 Exam > Class 8 Notes > Mathematics (Maths) Class 8 > Important Formulas: Rational Numbers
Important Formulas: Rational Numbers | Mathematics (Maths) Class 8 PDF Download
Type of Numbers
1. Numbers
N = {1,2,3,4,5……….}
It is the counting numbers
2. Whole number
W= {0,1,2,3,4,5……..}
It is the counting numbers + zero
3. Integers
Z={…-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6…}
4. Positive integers
Z+= {1,2,3,4,5……..}
5. Negative integers
Z-={…-7,-6,-5,-4,-3,-2,-1}
6. Rational Number: A number is called rational if it can be expressed in the form p/q where p and q are integers (q> 0).
Example: ½, 4/3 ,5/7 ,1 etc.
Terms
1. Additive Identity/Role of Zero
Zero is called the identity for the addition of rational numbers. It is the additive identity for integers and whole numbers as well
a + 0 = a
2. Multiplicative identity/Role of one
1 is the multiplicative identity for rational numbers. It is the multiplicative identity for integers and whole numbers as well
a × 1 = a
Properties of Rational Numbers
Closure Property
Commutativity Property
Associativity Property
The document Important Formulas: Rational Numbers | Mathematics (Maths) Class 8 is a part of the Class 8 Course Mathematics (Maths) Class 8.
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FAQs on Important Formulas: Rational Numbers - Mathematics (Maths) Class 8
| 1. What are rational numbers? |  |
Ans. Rational numbers are numbers that can be expressed as a fraction, where the numerator and denominator are both integers. They can be positive, negative, or zero.
| 2. How do you identify if a number is rational? | |
Ans. To identify if a number is rational, we check if it can be written as a fraction. If it can, then it is a rational number. For example, numbers like 1/2, -3/4, and 0 are all rational numbers.
| 3. What are the properties of rational numbers? | |
Ans. Rational numbers have several properties, including closure under addition, subtraction, multiplication, and division. They can also be compared using inequalities and can be represented on the number line.
| 4. How do you perform operations on rational numbers? | |
Ans. To perform operations on rational numbers, we follow the rules of arithmetic. For addition and subtraction, we find a common denominator, add or subtract the numerators, and keep the denominator the same. For multiplication and division, we multiply or divide the numerators and denominators separately.
| 5. Can irrational numbers be considered as rational numbers? | |
Ans. No, irrational numbers cannot be considered as rational numbers. Irrational numbers are numbers that cannot be expressed as a fraction and have non-repeating decimal representations. Examples of irrational numbers include √2, π, and e.
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