In this presentation, we have discussed theoretical concepts of natural numbers, whole numbers, number lines, addition, subtraction, multiplication, commutative and associative law under addition and over multiplication.
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2. CHAPTER # 2 WHOLE NUMBERS (1)
› What are Natural Numbers? – 1,2,3,4,5, ……
› What are Whole Numbers? – 0,1,2,3,4,5, ……
› Difference Between Natural Numbers and Whole Numbers.
› How can we use number line?
› How to perform addition of two or more given whole numbers on the number line?
› For Example: if we have 1, 3, 5 digits then how can we add them by using number line
– Therefore, 1+3+5 = 9
3. CHAPTER # 2 WHOLE NUMBERS (2)
› Addition and Subtraction of whole numbers
› Commutative law under addition
– The sum of two whole numbers. In any order, is always same
– 2+3 = 3+2
› Associative Law under addition
– The sum of three whole numbers, in any order, is always same
– (2+3)+5=2+(3+5)
› 0 is called Additive Identity
4. CHAPTER # 2 WHOLE NUMBERS (3)
› Multiplication of Whole Numbers
› Commutative law under multiplication
– The product of two whole numbers, in any order, is
always same
– 5×6 = 6×5
› Associative law under multiplication
– The product of three whole numbers, in any order,
is always same
– (5×6)×2 = 6×(5×2)
› 1 is called Multiplicative Identity
5. CHAPTER # 2 WHOLE NUMBERS (4)
› Division of Whole Numbers
› Commutative law under multiplication
– The product of two whole numbers, in any order, is always same
– 5×6 = 6×5
6. CHAPTER # 2 WHOLE NUMBERS (5)
› Distributive law of multiplication over addition
– For the three whole numbers like 2, 4 and 7.
– 2 × (4 + 7 ) = (2 × 4) + (2 × 7)
› Distributive law of multiplication over subtraction (with positive difference)
– For the three whole numbers like 2, 4 and 7.
– 2 × (7 – 4) = (2 × 7) – (2 × 4)
7. SUMMARY – WHOLE NUMBERS
› Natural numbers are used for courting.
› Sum and product of two whole numbers is also a whole number.
› Addition of whole numbers is commutative and associative.
› Multiplication of whole numbers is commutative and associative.
› 0 is additive identity
› 1 is the multiplicative identity
› Multiplication is distributive over addition and subtraction (with
positive difference)
› Division of two whole numbers is a whole number
– If divisor completely divides the number and remainder is zero.
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