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1. How many 5 digite numbers are there?​

1 Answer

5 votes

Answer:

90,000

Explanation:

The first 5 digit number is 10,000, and the last 5 digit number is 99,999, so everything in between these numbers must be a 5 digit number.

You can find the number of numbers in between by subtracting them.

99,999 - 10,000 = 89,999

However, when subtracting, you leave out one of the numbers, so you add 1, which gives 90,000.

This can be shown with a smaller problem, such as how many 1 digit numbers are there:

1, 2, 3, 4, 5, 6, 7, 8, 9 - 9 numbers

However, when you subtract the biggest and smallest numbers:

9-1 = 8

As you see, you are missing on of the numbers because you didn't add one of the numbers in the problem.

User Mike Lui
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