Maths Rational Numbers part 10 (Associative Property Rational Number) CBSE Class 8 Mathematics VIII

TL;DR

Addition and multiplication are associative properties for rational numbers, while subtraction and division are not.

Transcript

hello friends this video on rational numbers 510 is brought to you by exam feel calm no over here from exam let us now talk about the third property that is the associative property for rational numbers now again associative property when it comes to addition addition is associative and what exactly is associative property so this property takes in... Read More

Key Insights

• 🥹 The associative property holds true for addition and multiplication of rational numbers.
• ➗ Subtraction and division of rational numbers do not follow the associative property.
• 🍹 Changing the order of addition or multiplication of rational numbers does not affect the sum or product.

Questions & Answers

Q: What is the associative property for rational numbers?

The associative property states that the order in which three rational numbers are added or multiplied does not affect the sum or product. However, it does not hold true for subtraction and division of rational numbers.

Q: Why is the associative property valid for addition and multiplication of rational numbers?

Addition and multiplication of rational numbers are both associative because changing the order of how they are added or multiplied does not change the final sum or product. The property can be proven through various calculations and examples.

Q: Why is the associative property invalid for subtraction of rational numbers?

Subtraction of rational numbers is not associative because changing the order in which they are subtracted will result in different values. This is because the value changes when the order is altered, unlike addition and multiplication.

Q: Why is the associative property invalid for division of rational numbers?

Division of rational numbers is not associative because changing the order in which they are divided will yield different results. The value changes when the order is altered, contradicting the associative property.

Summary & Key Takeaways

• The associative property states that for addition and multiplication of three rational numbers, the order of how they are added or multiplied does not affect the sum or product.

• However, for subtraction and division of rational numbers, the order does matter and changing it will result in different values.

• Examples and calculations are provided to demonstrate the validity of the associative property for addition and multiplication and the invalidity for subtraction and division.