ML Aggarwal Whole Number Exe-2.3 Class 6 ICSE Maths Solutions. We Provide Step by Step Answer of  Exe-2.3 Questions for Whole Number as council prescribe guideline for upcoming board exam. Visit official Website CISCE for detail information about ICSE Board Class-6.

## ML Aggarwal Whole Number Exe-2.3 Class 6 ICSE Maths Solutions

 Board ICSE Publications Avichal Publishig Company (APC) Subject Maths Class 6th Chapter-2 Whole Number Writer ML Aggarwal Book Name Understanding Topics Solution of Exe-2.3 Questions Edition 2023-2024

### Whole Number Exe-2.3

ML Aggarwal Class 6 ICSE Maths Solutions

Page-39

#### Question 1. Using shorter method, find

(i) 3246 + 9999
(ii) 7501 + 99999
(iii) 5377 – 999
(iv) 25718 – 9999
(v) 123 × 999
(vi) 203 × 9999

(i) 3246 + 9999

= ( 3246 – 1 ) + ( 9999 + 1 ) (Adding and subtracting 1)
= 3245 + 10000 = 13245

(ii) 7501 + 99999

= ( 7501 – 1 ) + ( 99999 + 1) (Adding and subtracting 1)
= 7500 + 100000 = 107500

(iii) 5377 – 999

= 5377 – ( 1000 – 1 )
= 5377 – 1000 + 1
= 4377 + 1 = 4378

(iv) 25718 – 9999

= 25718 – ( 10,000 – 1)
= 15718 + 1 = 15719

(v) 123 × 999

= 123 × ( 1000 – 1 ) ( By subtracting 1)
= 123 × 1000 – 1 × 123
= 123000 – 123 = 122877

(vi) 203 × 9999

= 203 × (10,000 – 1) ( By subtracting 1)
= 203 × 10,000 – 203 × 1 = 2030000 – 203 = 2029797

#### Question 2. Without using a diagram, find

(i) 9th square number
(ii) 7th triangular number

(i) 9th square number = ?
The first square number is 1 × 1 = 1
The second square number is 2 × 2 = 4
The Third square number is 3 × 3 = 9
Similarly 9th square number is 9 × 9 = 81

(ii) 7th triangular number = ?
first triangular number = 1
second triangular number is = 1 + 2 = 3
Third triangular number = 1 + 2 + 3 + 4 = 10
Similarly 7th triangular number = 1 + 2 + 3
Fourth triangular number = 1 + 2 + 3 + 4 = 10
Similarly, 7th triangular number = 1 + 2 +3 +4 + 5 +6 + 7 = 28

#### Question 3.

(i) Can a rectangular number be a square number?
(ii) Can a triangular number be a square number?

(i) Yes, 9 is a square  as well as rectangular number.

(ii) Yes, 8 is a triangular number = 36, which is a square number.

#### Question 4. Observe the following pattern and fill in the blanks:

1 × 9 + 1 = 10
12 × 9 + 2= 110
123 × 9 + 3 = 1110
1234 × 9 + 4 = ……….
12345 × 9 + 5 = …………..

1 x 9 + 1 = 10

12 x 9 + 2 = 110

123 x 9 + 3 = 1110

1234 x 9 + 4 = 11110

12345 x 9 + 5 = 111110

#### Question 5. Observe the following pattern and fill in the blanks:

9 × 9 + 7 = 88
98 × 9 + 6 = 888
987 × 9 + 5 = 8888
9876 x 9 + 4 = …………
98765 × 9 + 3 = ……….

9 x 9 + 7 = 88

98 x 9 + 6 = 888

987 x 9 + 5= 88888

9876 x 9 +4 = 88888

98765 x 9 + 3 = 888888

—  : End of ML Aggarwal Whole Number Exe-2.3 Class 6 ICSE Maths Solutions :–

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