Whole Number Worksheets
Whole Number Worksheets
Whole Number WorkSheets :- We have studied about the counting numbers. The numbers
used for counting are called natural numbers. 1, 2, 3, 4, ------- up to infinite are all natural
numbers. If we add 0 to the set of natural numbers, it becomes the set of whole numbers.
This means, the set of whole numbers is 0, 1, 2 , 3,………. up to infinite are called whole
numbers. A set of whole numbers is used for various measurements may it be distance,
speed, weight , volume or any other measurement.
We observe that every natural number has a successor, which we can get by adding 1 to any
given whole number. For instance, successor of 245 is 245 + 1 = 246, successor of 890 is
890 + 1 = 891.
Similarly we see that every whole number except 0 has a predecessor, which we can get by
subtracting 1 from the given number. As we can see, the predecessor of 45 is 45 – 1 = 44,
predecessor of 900 is 900 – 1 = 899.
Here are some of the properties of whole numbers :
Know More About Commutative Property Of Addition Worksheets
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1. Closure Property: If a, b are any whole numbers, then a+ b is also a whole number. We say
that whole numbers satisfy the closure property of addition,
2. Similarly according to the closure property of subtraction, if a , b are any two whole
numbers such that a > b, then a – b is also a whole number.
E.g. if a = 9 and b = 4 , then a – b =9 – 4 = 5. Here we find that a - b is also a whole number.
3. Closure Property of multiplication also holds true, thus we can say that if a and b are whole
numbers, then a * b is also a whole number.
E.g. if a = 3 and b = 5 then a * b = 3 * 5 = 15 is also a whole number.
4. Closure property does not always holds true for the division operation, which means that if
a, b are whole numbers, then a / b is not necessary a whole number.
5. Commutative Property of whole numbers holds true of addition and multiplication but not
for subtraction and division : It says that if a and b are any two whole numbers then a + b =
b + a and a * b = b * a.
But we also have a – b ≠ b – a and a / b ≠ b /a
6. Additive Identity and Multiplicative Identity : If a is any whole number, then there exists a
whole number 0, such that a + 0 = a .
Also there exists a whole number 1, such that a * 1 = a. So we can say that 0 is the additive
identity and 1 is the multiplicative identity.
So we can say that if any number is added to 0, the result is the original number, and if 1 is
multiplied to any number, the result is the original number.
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The term whole number is one you'll find often in mathematics. Essentially the definition of a
whole number is based around what it doesn't contain.
A whole number can't be a fraction of a number, a percentage, or have a decimal. If you have
a number like 21.32, it has a whole number portion (21), but in itself, this number is not a
whole number because it contains a fraction (.32).
Whole numbers are usually defined as non-negative integers, including zero, although not
everyone agrees on this definition.
The definition for whole number may seem unnecessary to some, but in fact in early math we
soon begin teaching children the properties of integers. Integers and whole numbers are not
the same, but all whole numbers are integers.
The difference is that integers include negative numbers, while all whole numbers are non-
negative. Zero is neither positive nor negative.
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