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Chapter 1:Knowing Our Number

Chapter 2:Whole Number

Chapter 3: Playing with Number

Chapter 4:Basic Gemetrical Idea

Chapter 5:Understanding Elementry Shapes

Chapter 6:Intergers

Chapter 7:Fraction

Chapter 8:Decimals

Chapter 9:Data Handling

Chapter 10:Mensuratin

Chapter 11:Algebra

Chapter 12:Ratio and Proportion

Chapter 13:Sysmmetry

NCERT Solutions For Class 6 Maths Chapter 2

Whole Number

NCERT Solutions For Class 6 Maths Chapter 2 Exercise 2.3

Question 2:
Which of the following will not represent zero:
(a) 1 + 0
(b) 0 × 0
(c) 0 / 2
(d) (10 – 10) / 2
Answer
(a) 1 + 0 = 1
it does not represent zero

Question 2:
If the product of two whole numbers is zero, can we say that one or both of them will be zero? Justify through examples.
Answer 2:
Yes,if product of two whole numbers is zero then one of them is zero
Ex: 0 × 3 = 0 and 15 × 0 = 0
If both number are zero then the result also be zero
Ex: 0 × 0 = 0

Question 3:
If the product of two whole numbers is 1, can we say that one or both of them will be 1? Justify through examples.
Answer 3:
If the product of two whole numbers is 1, both the numbers should be equal to 1
Ex: 1 × 1 = 1
But 1 × 5 = 5
So, the product of two whole numbers will be 1, then both numbers to be multiplied are 1

Question 4:
Find using distributive property:
(a) 728 × 101
(b) 5437 × 1001
(c) 824 × 25
(d) 4275 × 125
(e) 504 × 35
Answer 4:

(a)728 × 101
= 728 × (100 + 1)
= 728 × 100 + 728 × 1
= 72800 + 728 = 73528

(b)5437 × 1001
= 5437 × (1000 + 1)
= 5437 × 1000 + 5437 × 1
= 5437000 + 5437 = 5442437

(c)824 × 25
= 824 × 25
=824× (20+5)
=824 × 20 +824 × 5
=16480+4120 = 20600

(d)4275 × 125
= 4275 × (100+20+5)
= 4275 × 100 + 4275 × 20 + 4275 × 5
= 427500+ 85500+21375 = 534375

(e) 504 × 35
= (500 + 4) × 35
= 500 × 35 + 4 × 35
= 17500 + 140 = 17640

Question 5:
Study the pattern:
1 × 8 + 1 = 9
12 × 8 + 2 = 98
123 × 8 + 3 = 987
1234 × 8 + 4 = 9876
12345 × 8 + 5 = 98765
Write the next two steps. Can you say how the pattern works?
(Hint: 12345 = 11111 + 1111 + 111 + 11 + 1)
Answer 5:
123456 × 8 + 6 = 987654
1234567 × 8 + 7 = 9876543
1 × 8 + 1 = 9
12 × 8 + 2 = 98
123 × 8 + 3 = 987
1234 × 8 + 4 = 9876
12345 × 8 + 5 = 98765
123456 × 8 + 6 = 987654
1234567 × 8 + 7 = 9876543