PPT: Whole Numbers

# Whole Numbers Class 6 PPT

``` Page 2

Definition: Let a and b be any two whole
numbers.  If A and B are disjoint sets with a =
n(A) and b = n(B), then
( ) B A n b a ? = +
Addition is called a binary operation because two
numbers are combined to produce a unique
number.
Page 3

Definition: Let a and b be any two whole
numbers.  If A and B are disjoint sets with a =
n(A) and b = n(B), then
( ) B A n b a ? = +
Addition is called a binary operation because two
numbers are combined to produce a unique
number.
Set Model
To find a + b, we need to find two disjoint sets, one
with a objects and one with b, form their union
and count their total.
Example: Find 3+2 using the set model.
3
2
3+2=5
Page 4

Definition: Let a and b be any two whole
numbers.  If A and B are disjoint sets with a =
n(A) and b = n(B), then
( ) B A n b a ? = +
Addition is called a binary operation because two
numbers are combined to produce a unique
number.
Set Model
To find a + b, we need to find two disjoint sets, one
with a objects and one with b, form their union
and count their total.
Example: Find 3+2 using the set model.
3
2
3+2=5
Measurement Model
In the measurement model, addition of whole numbers is
represented by directed arrows of whole number lengths
along with the whole number line.
0 1 2 3 4 5 6 7 8 9 10 11 12
Example: 2 + 5
Place an arrow length 2
starting at 0.
2
Then place an arrow length
5 starting at the end of the
first arrow.
5 +
The sum is the total
distance from 0.
Page 5

Definition: Let a and b be any two whole
numbers.  If A and B are disjoint sets with a =
n(A) and b = n(B), then
( ) B A n b a ? = +
Addition is called a binary operation because two
numbers are combined to produce a unique
number.
Set Model
To find a + b, we need to find two disjoint sets, one
with a objects and one with b, form their union
and count their total.
Example: Find 3+2 using the set model.
3
2
3+2=5
Measurement Model
In the measurement model, addition of whole numbers is
represented by directed arrows of whole number lengths
along with the whole number line.
0 1 2 3 4 5 6 7 8 9 10 11 12
Example: 2 + 5
Place an arrow length 2
starting at 0.
2
Then place an arrow length
5 starting at the end of the
first arrow.
5 +
The sum is the total
distance from 0.
Properties
1. Closure Property for Whole-Number Addition
The sum of any two whole numbers is a whole number.
2. Commutative Property for Whole-Number Addition
Let a and b be any whole numbers.  Then a+b=b+a.
3. Associative Property for Whole-Number Addition
Let a, b and c be any whole numbers.
Then (a+b) + c = a + (b+c).
4. Identity Property for Whole-Number Addition
There is a unique whole number, 0, such that for all
whole numbers a, a + 0 = 0 + a = a.
```

## Mathematics (Maths) Class 6

94 videos|347 docs|54 tests

## FAQs on Whole Numbers Class 6 PPT

 1. What are whole numbers?
Ans. Whole numbers are a set of numbers that include all the natural numbers (positive integers) along with zero. They do not include any fractions or decimals.
 2. How are whole numbers different from integers?
Ans. Whole numbers include only positive integers and zero, whereas integers include both positive and negative integers along with zero.
 3. Can negative numbers be considered whole numbers?
Ans. No, negative numbers cannot be considered whole numbers as they are not included in the set of whole numbers. Whole numbers only include positive integers and zero.
 4. What are the basic operations that can be performed on whole numbers?
Ans. The basic operations that can be performed on whole numbers are addition, subtraction, multiplication, and division. These operations follow the same rules as in arithmetic.
 5. How can whole numbers be used in real-life situations?
Ans. Whole numbers are used in various real-life situations such as counting objects, measuring quantities, keeping track of scores, and representing ages or years. They provide a simple and efficient way to represent and manipulate quantities in everyday life.

## Mathematics (Maths) Class 6

94 videos|347 docs|54 tests

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