[Exercise 2.3] NCERT Solutions for Class 6 Maths Chapter 2 Whole Numbers.

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# Class 6 Maths Chapter 2 - Whole Numbers.

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Maths Class 6 Chapter 2 Exercise 2.3 Solutions :-

Here we have provided class 6 Maths chapter 2 Exercise 2.3 Solutions which includes NCERT Solutions for class 6 maths chapter 2 exercise 2.3. These questions are related to the topics that are discussed in the chapter whole numbers class 6 chapter 2. We suggest you to go through these NCERT Solutions for class 6 maths chapter 2 to strengthen your understanding about knowing our numbers class 6 exercise 2.3 of class 6 mathematics.

www.MSEducator.in / Class 6 Maths Chapter 2 - Whole Numbers.

www.MSEducator.in / Class 6 Maths Chapter 2 - Whole Numbers.

www.MSEducator.in / Class 6 Maths Chapter 2 - Whole Numbers.

# NCERT Solutions for Ex - 2.3

Class 6 Maths Chapter 1 Exercise 2.3 Question 1.

 Q1.  Which of the following will not represent zero :
(a) 1 + 0
(b) 0 × 0
(c) 0 / 2
(d) (10 – 10) / 2
Solutions :
(a) 1 + 0 = 1
Ans. It does not represent zero

(b) 0 × 0 = 0
Ans. It represents zero

(c) 0 / 2 = 0
Ans. It represents zero

(d) (10 – 10) / 2 = 0 / 2 = 0
Ans. It represents zero

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Class 6 Maths Chapter 1 Exercise 2.3 Question 2.

 Q2.  If the product of two whole numbers is zero, can we say that one or both of them will be zero? Justify through examples.
Solution :

Condition I : If the product of two whole numbers is zero, definitely one of them is zero.
Example : 0 × 5 = 0 and 12 × 0 = 0
Ans. Yes, If the product of two whole numbers is zero, definitely one of them is zero

Condition II : If the product of two whole numbers is zero, both of them may be zero.
Example : 0 × 0 = 0
Ans. Yes, if the product of two whole numbers is zero, then both of them may be zero

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Class 6 Maths Chapter 1 Exercise 2.3 Question 3.

 Q3.  If the product of two whole numbers is 1, can we say that one or both of them will be 1? Justify through examples.
Solution :
If the product of two whole numbers is 1, both numbers should be equal to 1
Example : 1 × 1 = 1 But 1 × 3 = 3
Ans. It is clear that the product of two whole numbers will be 1, only in situations when both numbers to be multiplied are 1.

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Class 6 Maths Chapter 1 Exercise 2.3 Question 4.

 Q4.  Find using distributive property :

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

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

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

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

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

⇒ View Explanation
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Class 6 Maths Chapter 1 Exercise 2.3 Question 5.

 Q5.   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)
Solution :
Working pattern :
(1) x 8 + 1 = 9
(12) x 8 + 2 = (11 + 1) x 8 + 2 = 98
(123) x 8 + 3 = (111 + 11 + 1) x 8 + 3 = 987
(1234) x 8 + 4 = (1111 + 111 + 11 + 1) x 8 + 4 = 9876
(12345) x 8 + 5 = (11111 + 1111 + 111 + 11 + 1) x 8 + 5 = 98765
So, the next two steps are :
Step I : 123456 x 8 + 6 = 987654
Step II : 1234567 x 8 + 7 = 9876543

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