difference between the smallest four digit number and the three digit number formed when written single digit numbers in descending order
Answers
Answer:
The difference is .
Step-by-step explanation:
We need to find the difference between the smallest four-digit number and the three-digit number.
The numbers should be formed by single-digit numbers in descending order.
The smallest four digit number with single-digit numbers in descending order is
Let the first digit be 4, then 2, followed by 1 and 0.
The number will be 4210.
Now the smallest three-digit number with single-digit numbers in descending order is
Let the first digit be 3, then 1 and 0.
The number will be 310.
The difference between the numbers is .
The difference is 3000
Given : The smallest four digit number and the three digit number formed when written single digit numbers in descending order
To find : The difference
Solution :
The four digit number has four digits
Since single digit numbers in descending order
Digit at ones place = 0
Digit at tens place = 1
Digit at hundreds place = 2
Digit at thousands place = 3
So the smallest four digit number with single digit numbers in descending order is 3210
The three digit number has three digits
Since single digit numbers in descending order
Digit at ones place = 0
Digit at tens place = 1
Digit at hundreds place = 2
So the smallest three digit number with single digit numbers in descending order is 210
Hence the required difference
= 3210 - 210
= 3000
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