name the greatest and the smallest 4-digit numbers by using any one digit twice a.3,8,7 b. 9,0,5
Answers
Answer:
a.greatest-8873
smallest-3378
b.greatest-9950
smallest-5099
Step-by-step explanation:
Question:
Find the greatest and the smallest 4-digit numbers by using any one digit twice
a) 3,8,7
b) 9,0,5
Given :
We are given with 3 digits in the following two cases
To Find :
By using the 3 digits we have to find the greatest and the smallest 4 digit from those digits
Condition :
We can only use one digit twice
Solution :
Case 1 :
In case 1 ,the given digits are 3,8,7
Greatest 4 digit formed by those digits. Since 8 is the greatest digit we will have to use it twice. The possible answers are as follows:
- 8837
- 8873
- 8738
- 8378
- 8387
- 8783
- 7883
- 3887 ... continued
Therefore the greatest 4 digit number formed by the digits 3,8,7 is 8873.
Smallest 4 digit formed by those digits. Since 3 is the smallest digit we will have to use it twice. The possible answers are as follows:
- 8733
- 7833
- 8373
- 7383
- 3378
- 3387
- 3873
- 3783
- 3738 ... continued
Therefore the smallest 4 digit number formed by the digits 3,8,7 is 3378.
Case 2 :
In case 2 ,the given digits are 9,0,5
Greatest 4 digit formed by those digits. Since 9 is the greatest digit we will have to use it twice. The possible answers are as follows:
- 9905
- 9590
- 9509
- 9095
- 9950
- 9059
- 5909
- 5099 ... continued
Therefore the greatest 4 digit number formed by the digits 9,0,5 is 9950.
Smallest 4 digit formed by those digits. Since 0 is the greatest digit we will have to use it twice. The possible answers are as follows:
- 5090
- 5900
- 9005
- 5009
- 9050
- 9500 ... continued
Therefore the smallest 4 digit number formed by the digits 9,0,5 is 5009.
Answer:
- The greatest 4 digit number formed by the digits 3,8,7 is 8873.
- The smallest 4 digit number formed by the digits 3,8,7 is 3378.
- The greatest 4 digit number formed by the digits 9,0,5 is 9950.
- The smallest 4 digit number formed by the digits 9,0,5 is 5009.