(1) (i) Number 537 has larger number of digits as compared to 98; therefore 537 is greater than 98 i.e. 537 > 98.
(ii) 2428 has larger number of digits as compared to 529; therefore 2428 is greater than 529 i.e. 2428 > 529.
(iii) 2,59,467 has lower number of digits as compared to 10,35,729, therefore 2,59,467 < 10,35,729.
(2) (i) 428 is smaller than 437 i.e. 428 < 437
If both the numbers have same digit at the leftmost place, compare their second digit from the left. i.e.
428 is lower than 437 (as 2 < 3)
(ii) 2497 is smaller than 2597 (as 4 < 5)
(iii) 3297 is smaller than 3596 (as 2 < 5)
(3) (i) 45293 < 45427 (as 2 < 4)
If the first digit as well as second digit from the left of given numbers are equal, compare their third digits from the left.
(ii) 380362 < 381007 (as 0 < 1)
(iii) 63520 > 63250 (as 5 > 2)
(4) (i)
Ten Crore | Crore | Ten Lakh | Lakh | Ten Th. | Thousand | Hundred | Tens | Ones |
5 | 4 | 0 | 2 | 7 | 6 | |||
3 | 6 | 9 | 9 | 9 | 8 |
Clearly both the numbers have equal number of digits.
Compare the digit at the leftmost place in both the numbers. We find 5 > 3
Hence, 540276 > 369998.
(ii)
Ten Crore | Crore | Ten Lakh | Lakh | Ten Th. | Thousand | Hundred | Tens | Ones |
6 | 9 | 8 | 3 | 2 | 4 | 5 | ||
6 | 8 | 9 | 3 | 2 | 5 | 4 |
Clearly both the numbers have equal number of digits.
At the leftmost both the numbers have equal number of digits.
At the second place from the left the first number has 9 and the second number has 8. (as 9>8)
Hence, 6983245 > 6893254.
(5) Solution:
5 | 4 | 3 | 2 | 9 | 7 | 2 | |
2 | 3 | 1 | 0 | 6 | 2 | 9 | 3 |
5 | 2 | 2 | 3 | 7 | 9 | 1 | |
2 | 3 | 1 | 8 | 2 | 6 | 3 | 4 |
5 | 4 | 3 | 4 | 4 | 7 | 8 | 2 |
The given number in the ascending order are:
5223791 < 5432972 < 23106293 < 23182634 < 54344782.
(6) Solution:
The required table is as given below:
5 | 4 | 3 | 2 | 8 | 7 | ||
5 | 4 | 8 | 2 | 9 | 0 | 0 | |
2 | 7 | 3 | 2 | 9 | 4 | 0 | |
4 | 3 | 8 | 7 | 7 | |||
7 | 8 | 3 | 9 | 6 | |||
4 | 9 | 9 | 9 |
Clearly, given numbers in descending order as:
5482900 > 2732940 > 543287 > 78396 > 43877 > 4999.
(7) (i) Solution: 5942 is the greatest number and 84 is the smallest number.
(ii) Solution: 54909 is the greatest number and 5499 is the smallest number.
(8) (i) Solution: To obtain greatest 4 digit number put the greatest digit at the extreme left, then put the remaining digits in descending order – 7532.
To obtain smallest number, write the digit with smallest value at the extreme left, and then the remaining digits in ascending order of their value – 2357.
(ii) Greatest 4 digit number- 9641, Smallest 4 digit number – 1469.
(iii) Greatest number – 7420 Smallest Number 2047
(iv) Greatest number – 8531 Smallest number – 1358
(v) Greatest number – 9760 Smallest Number – 6079
(9) Solution: The greatest number are 886, 786, 986 and the three smallest 3 digit numbs are 236, 116, 106.
(10) Solution: Greatest Four digit number – 9995
Smallest Four digit number – 1006
(11) (i) The largest number of 5 digits is ______________ and the smallest number of 6 digits is _______.
Ans. 99999, 100000
(ii) The difference between the smallest number of four digits and the largest number of three digits ______ – ______ = _______
Ans. 1000 – 999 = 1
(iii) The sum (addition) of the smallest number of three digits and the largest number of two digits = ____ + _____ = _____
Ans. 100 + 99 = 199
(iv) On adding one of the largest five digit number, we get _______ which is the smallest _______ digit number
Ans. 100000, six
(v) On subtracting one from the smallest 4 digit number , we get _______ which is the ______- three digit number.
Ans. 999, Greatest.
(12) the largest number with the digits 2, 3, 5, 9, 6, 0 is 965320.
(13) The smallest 4 digit is – 1023; The greatest 4 digit number – 9876.
(14) Greatest Number – 97865; Smallest Number – 12834
(15) The sum of largest and the smallest four digit number is = 9999 + 1000 = 10999.
(16) The difference between the smallest and greatest six digit number is = 999999 – 100000 = 899999.
(17) (i) Solution: There are 2001 four digit number between 999 and 3000
(ii) Solution: There are 2901 four digit numbers are there between 99 and 3000.
(18) Solution There are 2000 four digits numbers are there between 500 and 3000.
(19) The possible 3 digit number are 863, 683, 368, 386, 836, 638.
(20) (i) The greatest 4 digit number – 9547 and the smallest 4 digit number – 4597
(ii) The greatest 4 digit number – 7594 and the smallest 4 digit number is – 4597.
(iii) The greatest 4 digit number is – 9475 and the smallest 4 digit number is – 5479.