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Closure property holds for addition and multiplication of whole numbers. Closure property of whole numbers under addition: The sum of any two whole numbers will always be a whole number, i.e. if a and b are any two whole numbers, a + b will be a whole number.
Closure Property of Addition for Whole Numbers Addition of any two whole numbers results in a whole number only. We can represent it as a + b = W, where a and b are any two whole numbers, and W is the whole number set. For example, 0+21=21, here all numbers fall under the whole number set.
The statement 5+6=11 5 + 6 = 11 is real demonstrates the Closure Property for Addition. 5?6=30 5 ? 6 = 30 is real. Both 5 and 6 are real numbers. When we multiply them together, we get 30 , which is another real number, and 30 is the only answer we can get by multiplying 5?6 5 ? 6 .
Closure Property of Addition for Integers Addition of any two integers results in an integer only. We can represent it as a + b = Z, where a and b are any two integers, and Z is the integer set. For example, ?5+3=?2, here all three numbers are integers.
Closure property for addition states that when we add two natural numbers, we always get a natural number. The same is true for whole numbers, integers, fractions, and decimals. The above example shows that the sum of two natural numbers is always a natural number.