ML Aggarwal Knowing Our Numbers Exe-1.3 Class 6 ICSE Maths Solutions. We Provide Step by Step Answer of  Exe-1.3 Questions for Knowing Our Numbers as council prescribe guideline for upcoming board exam. Visit official Website CISCE for detail information about ICSE Board Class-6.

## ML Aggarwal Knowing Our Numbers Exe-1.3 Class 6 ICSE Maths Solutions

 Board ICSE Publications Avichal Publishig Company (APC) Subject Maths Class 6th Chapter-1 Knowing Our Numbers Writer ML Aggarwal Book Name Understanding Topics Solution of Exe-1.3 Questions Edition 2023-2024

### Knowing Our Numbers Exe-1.3

ML Aggarwal Class 6 ICSE Maths Solutions

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#### Question 1. Write all possible 2-digits numbers that can be formed by using the digits 2, 3 and 4. Repetition of digits is not allowed. Also find their sum.

The given digits are 2, 3, 4 and repetition of digits is not allowed.

Out of the given digits, the possible ways of choosing the two digits are 2, 3; 2, 4; 3, 4

Using the digits 2 and 3, the numbers are 23 and 32

Similarly, Using the digits 2 and 4, the numbers are 24 and 42

Using the digits 3 and 4, the numbers are 34 and 43

Hence, all possible 2-digit numbers are 23, 32, 24, 42, 34, 43

∴ Sum of above numbers

= 23 + 34 + 32 + 24 + 43 + 42 = 198.

#### Question 2. Write all possible 3-digits numbers using the digits 3, 1 and 5. Repetition of digits is not allowed.

We are required to write 3-digit numbers using the digits 1, 3, 5 and the repetition of the digits is not allowed.

Keeping 1 at unit’s place, 3-digit number obtained are 351 and 531.

Keeping 3 at unit’s place, 3-digit number obtained are153 and 513.

Keeping 5 at unit’s place, 3-digit number obtained are 315 and 135.

Hence, all possible 3-digit numbers are : 315, 351, 153, 135, 531, 513

#### Question 3. Write all possible 3-digits numbers using the digits 7, 0 and 6. Repetition of digits is not allowed. Also, find their sum.

we are required to write 3 –digit numbers using the digits 0,6,7 and the repetition of the digits is not allowed.

Keeping 0 at unit’s place, 3-digit number obtained are 670 and 760.

Keeping 6 at unit’s place, 3-digit number obtained are 706.

Keeping 7 at unit’s place, 3-digit number obtained are 607.

Keeping 7 at unit’s place, 3- digit number obtained are 607.

Hence, all possible 3- digit numbers are : 670, 760, 607, 706.

∴ Sum of above numbers
= 670 + 760 + 607 + 706 = 2743

Question -4. Write all possible 2-digit numbers using the digits 4, 0 and 9. Repetition of digits is not allowed. Also find their sum.

The given digits are 0, 4, 9 and repetition of digits is not allowed.
Out of the given digits, the possible ways of choosing the two digits are 4, 0; 4, 9; 9, 0

Using the digits 4 and 0, the number are 40.

Similarly, Using the digits 4 and 9, the numbers are 49 and 94.
Using the digits Hence, all possible 2-digit numbers are 40, 49, 90, 94
∴ Sum of above numbers = 40 + 49 + 90 + 94 = 273

#### Question 5. Write all possible 2-digit numbers that can be formed by using the digit 3, 7 and 9. Repetition of digits is allowed.

The given digits are 3, 7, 9 and repetition of digits is not allowed. Out of
the given digits, the possible ways of choosing the two digits are 3, 7; 3, 9; 7, 9
Using the digits 3 and 7, the numbers are 37, 73, 33 and 77.
Similarly, Using the digits 3 and 9, the numbers are 39, 93, and 99.
Using the digits 7 and 9, the numbers are 79 and 97.
Hence, all possible 2-digit numbers are
37, 73, 33, 77, 39, 93, 99, 79, 97

#### Question 6. Write all possible numbers using the digits 3,1 and 5. Repetition of digits is not allowed.

The given digits are 1,3, 5 and repetition of digits is not allowed.
The one-digit numbers that can be formed are 1, 3 and 5.
We are required to write 2-digit numbers.

Out of the given digits, the possible ways of choosing the two digits are 1, 3, 1, 5, 3, 5
Using the digits 1 and 3, the numbers are13 and 31.
Similarly, Using the digits 1 and 5, the numbers are 15 and 51.
Using the digits 3 and 5, the numbers are 35 and 53.
Hence, all possible 2-digitt numbers are 13, 31, 15, 51, 35, 53
Now, We are required to write 3-digit numbers using the digits 1, 3, 5 and the repetition of the digits is not allowed. Keeping 1 at unit’s place, 3-digit number obtained are 351 and 531.

Keeping 3 at unit’s place, 3-digit number obtained are 153 and 513.
Keeping 5 at unit’s place, 3-digit number obtained are 315 and 135.
Hence, all possibe 3-digit numbers are : 315, 351, 153, 135, 531, 513
All possible numbers using the digits 3, 1 and 5 are :
1, 3, 5, 31, 13, 35, 53, 15, 51, 315, 153, 351, 531, 513, 135.

#### Question -7. How many 6-digit numbers are there in all ?

The lowest 6-digit number is 100,000 and the highest is 999,999.

Subtract 999,999−100,000=899,999, but then add 1, because we want to include both 100,000 and 999,999.

Question -8. Write down the greatest number and the smallest number of 4-digits that can be formed by the digits 7, 5,0 and 4 using each digit only once.

The greatest 4 digit number are – 7540

The smallest 4 digits number are – 4057

Question 9. Rearrange the digits of the number 5701024 to get the largest number and the smallest number of 7 digits.

The greatest 7 digit numbers is – 7542100

The smallest 7 digit number is – 1002457

Question 10.

Keeping the place value of digit 3 in the number 730265 same, rearrange the digits of the given number to get the largest number and smallest number of 6 digits.

Keeping the same place values of digit 3 in the number 730265 and rearranging the digits of the given number,
Greatest number of 6 digits= 736520 Smallest number of 6 digits = 230567.

Question-11. From smallest and greatest 4-digit numbers by using any one digit twice from the digits:

(i) 5, 2, 3, 9
(ii) 6, 0, 1, 4
(iii) 4, 6, 1, 5, 8.

(i) Greatest number: 9953

Smallest number: 2235

(ii) Greatest number:

Smallest number: 6641

Smallest number: 1004

(iii) Greatest number: 8865

Smallest number: 1145

Question -12. Write

(i) the greatest number of 6 digits
(ii) the smallest number of 7 digits. Also find their difference.

The greatest number  of 6 digits : 999999

The smallest number of 7 digits: 1000000.

Their differences are = 1000000 – 999999 = 1.

#### Question -13. Write the greatest 4-digit number of distinct digits.

the greatest 4-digit number of distinct digits.-9876

#### Question -14. Write the smallest 4-digit number of distinct digits.

the smallest 4-digit number of distinct digits -1234

#### Question -15. Write the greatest 6-digit number using three different digits.

the greatest 6-digit number using three different digits- 999987

#### Question -16. Write the smallest 7-digit number using four different digits.

the smallest 7-digit number using four different digits- 1000234

#### Question- 17. Write the greatest and the smallest 4-digit numbers using four different digits with the conditions as given:

(i) Digit 7 is always at units place.
(ii) Digit 4 is always at tens place.
(iii) Digit 9 is always at hundreds place.
(iv) Digit 2 is always at thousands place.

(i) 9867; 1027

(ii) 9847; 1042

(iii) 8976; 1902

(iv) 2987; 2013

—  : End of ML Aggarwal Knowing Our Numbers Exe-1.3 Class 6 ICSE Maths Solutions :–

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