Whole numbers are positive integers along with zero and don’t have fractional or decimal parts. You can perform all the basic operations such as Addition, Subtraction, Multiplication, and Division.<\/p>\n
Symbol<\/h3>\n
The Symbol to denote the Whole Numbers is given by the alphabet W = 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10,\u2026<\/p>\n
- \n
- All-natural numbers are whole numbers<\/li>\n
- All positive integers including zero are whole numbers<\/li>\n
- All whole numbers are real numbers<\/li>\n
- All counting numbers are whole numbers<\/li>\n<\/ul>\n
Properties of Whole Numbers<\/h3>\n
Whole Numbers Properties depend on arithmetic operations such as Addition, Subtraction, Multiplication, Division. When you multiply or add two whole numbers the result will always be a Whole Number. If you Subtract Two Whole Numbers the result may not always be a Whole Number and it can be an Integer too. Division of Whole Numbers can result in a Fraction at times. Let us see few more Properties of Whole Numbers by referring below.<\/p>\n
Closure Property: <\/strong>Whole Numbers can be closed under addition or multiplication. If a, b are two whole numbers then a.b and a+b is also a whole number.<\/p>\n
Commutative Property of Addition and Multiplication: <\/strong>Sum and Product of Two Whole Numbers will be the same no matter the order in which they are added or multiplied. If a, b are two whole numbers then a+b = b+a, a.b = b.a<\/p>\n
Additive Identity: <\/strong>If a Whole Number is added to 0 the result remains unchanged. If a is a whole number then a+0 = 0+a = a<\/p>\n
Multiplicative Identity: <\/strong>Whenever you multiply a whole number with 1 the result remains unchanged. Let us consider a whole number “a” then a.1 = 1. = a<\/p>\n
Associative Property: <\/strong>If you are grouping the whole numbers and adding or multiplying a set the result remains the same irrespective of the order. If a, b, c are whole numbers then a + (b + c) = (a + b) + c and a. (b.c)=(a.b).c<\/p>\n
Distributive Property: <\/strong>If a, b, c are three whole numbers then the distributive property of multiplication over addition is given by a.(b+c) =(a.b)+(a.c), Similarly Distributive Propoerty of Multiplication over Subtraction is given by a.(b-c) = (a.b)-(a.c)<\/p>\n
Multiplication by Zero: <\/strong>If you multiply a Whole Number with Zero the result is always zero. i.e. a.0=0.a=0<\/p>\n
Division by Zero: <\/strong>If you divide a Whole Number with Zero the result is undefined, i.e. a divided by 0 is not defined.<\/p>\n
Difference between Natural Numbers and Whole Numbers<\/h3>\n
\n\n
\n Whole Numbers<\/strong><\/td>\n Natural Numbers<\/strong><\/td>\n<\/tr>\n \n Whole Numbers: {0, 1, 2, 3, 4, 5, 6,\u2026..}<\/td>\n Natural Numbers: {1, 2, 3, 4, 5, 6,\u2026\u2026}<\/td>\n<\/tr>\n \n All whole numbers are not natural numbers<\/td>\n All Natural numbers are whole numbers<\/td>\n<\/tr>\n \n Counting starts from 0<\/td>\n Counting starts from 1<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n By referring to the below sections you will better understand the difference between Whole Numbers and Natural Numbers.<\/p>\n
![\"Difference](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/02\/Difference-Between-Whole-Numbers-and-Natural-Numbers.png\")
<\/p>\n<\/p>\n
Solved Examples on Whole Numbers<\/h3>\n
1. Are 101, 147, 193, 4028 whole numbers?<\/p>\n
Yes, 101, 147, 193, 4028 are all whole numbers.<\/p>\n
2. Solve 8 \u00d7 (3 + 12) using the Distributive Property?<\/p>\n
We know as per the Distributive Property a.(b+c) =(a.b)+(a.c)<\/p>\n
Applying the Input Numbers in the formula we have the equation as such<\/p>\n
8 \u00d7 (3 + 12) = 8*3 +8*12<\/p>\n
= 24+108<\/p>\n
= 132<\/p>\n
FAQs on Whole Numbers<\/h3>\n
1. Is 0 a Whole Number?<\/strong><\/p>\n
Yes, 0 is a Whole Number.<\/p>\n
2. What is the Symbol of Whole Numbers?<\/strong><\/p>\n
The Letter W represents the Whole Numbers.<\/p>\n
3. Are all Natural Numbers Whole Numbers?<\/strong><\/p>\n
Yes, all Natural Numbers are Whole Numbers but not all Whole Numbers are Natural Numbers. Natural Numbers begin from 0 and counts till infinity. Whole Numbers begin from 0 and end at infinity.<\/p>\n
4. What is the set of whole numbers?<\/strong><\/p>\n
The whole numbers are the natural numbers together with 0. The set of whole numbers is a subset of the integers but does not include the negative integers.<\/p>\n","protected":false},"excerpt":{"rendered":"
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