RS Aggarwal 2021-2022 for Class 6 Maths Chapter 3 - Whole Number
Rs Aggarwal Class 6 Math Solution Chapter 3 Whole Number is available here. RS Aggarwal Class 6 Math Solutions are solved by expert teachers in step by step, which help the students to understand easily. RS Aggarwal textbooks are responsible for a strong foundation in Maths. These textbook solutions help students in exams as well as their daily homework routine. The solutions included are easy to understand, and each step in the solution is described to match the students’ understanding.
Class 6 RS Aggarwal Maths Chapter 3 - Whole Number
Exercise 3B
1: Fill in the blanks to make each of the following a true statements:
(i) 458 + 639 = 639 +.....
(ii) 864 + 2006 - 2006 + ....
(iii) 1946 + ...... = 984 +1946
(iv) 8063 +0 = ......
(v) 53501 + (574 + 799) = 574 + (53501 + ..... )
Solution:
(i) 458 + 639 = 639 + 458
(ii) 864 + 2006 = 2006 + 864
(iii) 1946 + 984 = 984 + 1946
(iv) 8063 + 0 = 8063
(v) 53501 + (574 + 799) = 574 + (53501 + 799)
2: Add the following numbers and check by reversing the order of the addends:
(i) 16509 + 114
(ii) 2359 +548
(iii) 19753 +2867
Solution:
(i) 16509 + 114 = 16623
By reversing the order of the addends, we get:
114 + 16509 = 16623
∴ 16509 + 114 = 114 + 16509
(ii) 2359 + 548 = 2907
By reversing the order of the addends, we get:
548 + 2359 = 2907
∴ 2359 + 548 = 548 + 2359
(iii) 19753 + 2867 = 22620
By reversing the order of the addends, we get:
2867 + 19753 = 22620
∴ 19753 + 2867 = 2867 + 19753
3: Find the sum: (1546 +498) +3589. Also, find the sum: 1546 + (498 + 3589) Are the two sums equal? State the property satisfied.
Solution:
We have:
(1546 + 498) + 3589 = 2044 + 3589 = 5633
Also, 1546 + (498 + 3589) = 1546 + 4087 = 5633
Yes, the two sums are equal.
The associative property of addition is satisfied.
4: Determine each of the sums given below using suitable rearrangement
(i) 953 + 707 + 647
(ii) 1983 + 647 + 217 + 353
(iii) 15409 + 278 + 691 + 422
(iv) 3259 + 10001 + 2641 + 9999.
(v) 1 + 2 + 3 + 4 + 96 + 97 + 98 + 99
(vi) 2 + 3 + 4 + 5 + 45 + 46 + 47 + 48
Solution:
(i) 953 + 707 + 647
(953 + 647) + 707 (By associative property of addition)
= 1600 + 707
= 2307
(ii) 1983 + 647 + 217 + 353
(1983 + 217) + (647 +353) (By associative property of addition)
= 2200 + 1000
= 3200
(iii) 15409 + 278 + 691 + 422
(15409 + 691) + (278 + 422) (By associative property of addition)
= 16100 + 700
= 16800
(iv) 3259 + 10001 + 2641 + 9999
(3259 + 2641) + (10001 + 9999) (By associative property of addition)
= 5900 + 20000
= 25900
(v)1 + 2 + 3 + 4 + 96 + 97 + 98 + 99
(1 + 99) +(2 + 98) + (3 + 97) + (4 + 96) (By associative property of addition)
= (100) + (100) + (100) + (100)
= 400
(vi) 2 + 3 + 4 + 5 + 45 + 46 + 47 + 48
(2 + 48 ( 3 + 47) + (4 + 46 ( 5 + 45) (By associative property of addition)
= (50) + (50) + (50) + (50)
= (100) + (100)
= 200
5: Find the sum by short method
(i) 6784 +9999
(ii) 10578 +99999
Solution:
(i) 6784 + 9999
= 6784 + (10000 − 1)
= (6784 + 10000) − 1 (Using associative property of addition)
= 16784 − 1
= 16783
(ii) 10578 + 99999
= 10578 + (100000 − 1)
= (10578 + 100000) − 1 (Using associative property of addition)
= 110578 − 1
= 110577
6: For any whole numbers a, b, c, is it true that (a+b)+c=a+ (c+b) ? Give reasons.
Solution:
For any whole numbers a, b and c, we have: (a + b) + c = a + ( b + c)
Let a = 5, b = 6 and c = 7 [we can take any values for a, b and c]
LHS = (a + b) + c
= (5 + 6) + 7
= 11 + 7
= 18
RHS = a + (c + b)
= a + (b + c) [∵ Whole numbers follow the commutative law]
= 5 + (6 + 7)
= 5 + 13
= 18
∴ This shows that associativity (in addition) is one of the properties of whole numbers.
7: Complete each one of the following magic squares by supplying missing numbers:
(i)
(iii)
(iv)
(i)
(iii)
(iv)
(i) The sum of two odd numbers is an odd number.
(ii) The sum of two even numbers is an even number.
(iii) The sum of an even number and an odd number is an odd number.
Solution:
(i) F (false).
The sum of two odd numbers may not be an odd number. Example: 3 + 5 = 8, which is an even number.
(ii) T (true).
The sum of two even numbers is an even number. Example: 2 + 4 = 6, which is an even number.
(iii) T (true).
The sum of an even and an odd number is an odd number. Example: 5 + 4 = 9, which is an odd number.
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