Class 8 Exam > Class 8 Videos > Mathematics (Maths) Class 8 > Commutative Property of Rational Numbers(Comparing with Integers)
Commutative Property of Rational Numbers(Comparing with Integers) Video Lecture | Mathematics (Maths) Class 8
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FAQs on Commutative Property of Rational Numbers(Comparing with Integers) Video Lecture - Mathematics (Maths) Class 8
| 1. What is the commutative property of rational numbers? |  |
Ans. The commutative property of rational numbers states that the order in which we add or multiply rational numbers does not affect the result. In other words, for any two rational numbers a and b, a + b = b + a and a * b = b * a.
| 2. How does the commutative property of rational numbers compare to that of integers? | |
Ans. The commutative property of rational numbers is the same as that of integers. Both rational numbers and integers follow the commutative property for addition and multiplication. This property allows us to rearrange the order of terms without changing the final result.
| 3. Can the commutative property be applied to subtraction and division of rational numbers? | |
Ans. No, the commutative property does not apply to subtraction and division of rational numbers. Unlike addition and multiplication, the order of terms does affect the result in subtraction and division. For example, 3 - 2 is not the same as 2 - 3, and 6 ÷ 2 is not the same as 2 ÷ 6.
| 4. How is the commutative property useful in simplifying rational expressions? | |
Ans. The commutative property is useful in simplifying rational expressions by allowing us to rearrange the order of terms. This makes it easier to combine like terms or factor out common factors. By applying the commutative property, we can simplify complex rational expressions and perform operations more efficiently.
| 5. Are there any other properties of rational numbers that are related to the commutative property? | |
Ans. Yes, there are other properties of rational numbers that are related to the commutative property. These include the associative property (which deals with grouping of terms) and the distributive property (which deals with multiplication and addition). These properties, along with the commutative property, form the foundation for performing various operations on rational numbers.
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Nov 21, 2024 Last updated |
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