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Closure Property of Whole Numbers under Addition and Subtraction Video Lecture | Mathematics (Maths) Class 6

120 videos|301 docs|39 tests

FAQs on Closure Property of Whole Numbers under Addition and Subtraction Video Lecture - Mathematics (Maths) Class 6

1. What is the closure property of whole numbers under addition and subtraction?
Ans. The closure property states that when we add or subtract two whole numbers, the result will always be a whole number. For example, if we add 5 and 3, the result is 8, which is still a whole number. Similarly, if we subtract 4 from 9, the result is 5, which is also a whole number.
2. How does the closure property apply to whole numbers?
Ans. The closure property ensures that the set of whole numbers is closed under addition and subtraction. This means that when we perform addition or subtraction operations on whole numbers, the result will always be a whole number. It guarantees that we won't end up with fractions, decimals, or any other type of number outside the set of whole numbers.
3. Why is the closure property important in mathematics?
Ans. The closure property is important because it allows us to perform operations on a set of numbers and still stay within that set. In the case of whole numbers, the closure property ensures that we can add or subtract any two whole numbers and always get another whole number as the result. This property simplifies calculations and helps maintain consistency within the set of whole numbers.
4. Can you give an example that demonstrates the closure property of whole numbers under addition and subtraction?
Ans. Certainly! Let's take the whole numbers 7 and 9. If we add them, 7 + 9 = 16, which is still a whole number. Now, if we subtract 9 from 7, 7 - 9 = -2. However, notice that -2 is not a whole number. This example shows that the closure property does not hold for subtraction in the set of whole numbers.
5. Are there any other closure properties in mathematics apart from addition and subtraction of whole numbers?
Ans. Yes, there are closure properties in other mathematical operations as well. For example, the closure property holds for multiplication and division of whole numbers. When we multiply or divide two whole numbers, the result will always be a whole number. However, it's important to note that the closure property does not hold for all mathematical operations or number systems.
120 videos|301 docs|39 tests
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