On the right-hand side, we see that we multiplied 3 with 12 to get 36 and multiplied 36 with5, again we got 180 as the answer. Here on the left-hand side we first multiplied 5 and 3 then we multiplied the product 15 with 12, we got the answer 180. General Property: For all a, b, c belongs to N We can say that if we will multiply any three natural numbers, whether we’ll first multiply the first two numbers then the product will be multiplied by the third one or we’ll multiply the last two numbers first and then multiply the product with the number at the first position the answer will be same in both the cases. The product of three natural numbers remains the same though the grouping of numbers is changed. Therefore, we see above that the sum of three natural numbers 100, 45,90 is the same and there is no change even when a grouping of these numbers is changed. Therefore, we see above the sum of three natural numbers 11, 8, 16 has not changed and remained the same even when they are regrouped in a different way. Therefore, we see above when we added three natural numbers 9, 6, 8, their sum has not changed and remained the same even when they are regrouped. Therefore, we see above the sum of three natural numbers 7, 5, 2 has not changed and remained the same even when a grouping of these numbers is changed. We can say that if we will add any three natural numbers whether we will add the numbers at first two positions first and then add the third one to it or if we add the numbers at second and third positions first then adding the remaining number the answer will be same in both the cases. The sum of three natural numbers remains the same though the grouping of numbers is changed. Winaum Learning offers a comprehensive curriculum to teach kids with Math Activities, Puzzles, Quizzes online and offline with trained teachers. Here we have explained above the Definition, Examples for the Closure Property of Natural Numbers in detail. =>Here 50, 6, and 300 all are natural numbers. => Here 11, 8 and 88 all are natural numbers. Here 9, 5 and 45 all are natural numbers. General Property: For all ‘a’ belongs to N In other words, whenever we multiply any two natural numbers the result will also be a natural number. The product of any two natural numbers is also a natural number. =>Here 35, 72 and 107 all are the natural numbers. => Here 13, 9 and 22 all are natural numbers. => Here 7, 2 and 9 all are natural numbers. In other words, whenever we add two natural numbers the result of the addends will also be a natural number. The sum of any two natural numbers is also a natural number.
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