ML Aggarwal CBSE Solutions Class 6 Math First Chapter Knowing Our Numbers Exercise 1.2
(1) Use the appropriate symbol < or > to fill in the blanks:
(i) 173 < 189
(ii) 1058 < 1074
(iii) 8315 > 8017
(2) In each of the following pairs of numbers, state which number is smaller :
(i) Smallest Number: 503
(ii) 1139 is smallest number.
(iii) 24531 is smallest number.
(3) Find the greatest and the smallest numbers in each row:
(i) Smallest number: 571
Greatest number: 71834
(ii) Smallest number: 7691
Greatest number: 12002
(4) Arrange the following numbers in ascending order:
Solution: 34 < 43 < 304 < 340 < 430.
(5) Arrange the following numbers in descending order:
Solution: 7529 > 7333 > 553 > 335 > 53
(6) Write all possible 2-digit numbers that can be formed by using the digits 2, 3 and 4. Repetition of digits is not allowed. Also find their sum.
Solution : All possible two digit numbers are – 23, 34, 43, 42, 32, 24 .
(7) Write all possible 3-digit numbers using the digits 3, 1 and 5. Repetition of digits is not allowed.
Solution: 315, 353, 135, 153, 531, 513.
(8) Write all possible 3 digit numbers using the digits 7, 0 and 6. Repetition of digits is not allowed . Also find their sum.
Solution: Possible 3 digit numbers are: 706 and 607.
Their sum = 706 + 607 = 1313
(9) Write all possible 2 digits numbers using the digits 4, 0 and 9.l Repetition of digits is not allowed. Also find their sum.
Solution: 40 + 90 + 49 + 94 = 273
(10) Write all possible 2-digit numbers that can be formed by using the digits 3, 7 and 9. Repetition of digits is allowed.
Solution: all possible two digit numbers are = 37,39, 73, 79, 93, 97.
(11) Write all possible numbers using the digits 3, 1 and 5. Repetition of digits is not allowed.
Solution: All possible numbers are: 1, 3, 5, 13, 15, 31, 35, 53, 51, 135, 153, 315, 351, 531 & 513.
(12) How many 6 digits numbers are there in all?
Solution: 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.
Answer: 900,000
(13) 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.
Solution: The greatest 4 digit number are – 7540
The smallest 4 digits number are – 4057
(14) Rearrange the digits of the number 5701024 to get the largest number and the smallest number of 7 digits.
Solution: The greatest 7 digit numbers is – 7542100
The smallest 7 digit number is – 1002457
(15) 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.
Solution: 736520;230567
(16) Form the smallest and greatest 4-digit numbers by using any one digit twice form the digits:
Solution: (i) Greatest number: 9953
Smallest number: 2235
(ii) Greatest number:
Smallest number: 6641
Smallest number: 1004
(iii) Greatest number: 8865
Smallest number: 1145
(17) Write (i) the greatest number of 6 digits (ii) the smallest number of 7 digits. Also find their difference.
Solution: The greatest number of 6 digits : 999999
The smallest number of 7 digits: 1000000.
Their differences are = 1000000 – 999999 = 1.
(18) Write the greatest 4-digit number having distinct digits.
Solution: 9876
(19) Write the smallest 4-digit number having distinct digits.
Solution: 1234
(20) Write the greatest 6 digit number using three different digits.
Solution: 999987
(21) Write the smallest 7 digit number using four different digits.
Solution: 1000234
(22) Write the greatest and the smallest 4-dit members using four different digits with the conditions as given:
Solution: (i) Digit 7 is always at unit place.
(ii) Digit 4 is always at tens place
(iii) Digit 9 is always at hundred place
(iv) Digit 2 is always at thousand place.
Solution: (i) 9867; 1027
(ii) 9847; 1042
(iii) 8976; 1902
(iv) 2987; 2013
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