How many four digit number are there between 999 and 3000?

Answer 1

1000 - 2999 inclusive.

2000. It's inclusive, so you must add 1 to the difference.

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Number of whole numbers = last number - first number + 1

The first 4 digit number is 1000

The last depends upon whether the "between" is:

• exclusive: the "between" is "strictly between", ie the numbers under consideration are greater than the first and less than the second; the 3000 is excluded as it is not less than 3000. This is an understanding that comes from placing a third object between two other objects - you cannot place it on top of one of the other objects as it would not be between them;
• inclusive: the "between" includes the end numbers, ie the numbers under consideration are greater than or equal to the first number and lest than or equal to the second number; the 3000 is included as it is equal to 3000.

• If exclusive:

The last number is 2999

→ number of numbers between 999 and 3000 = 2999 - 1000 + 1 = 2000

• If inclusive:

The last number is 3000

→ number of numbers between 999 and 3000 = 3000 - 1000 + 1 = 2001

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Numbers are not necessarily whole numbers; four digit numbers also include 999.1, 999.2, ..., 999.9 which mean there could be an extra 9 four digit numbers between 999 and 3000.

999.0 wouldn't normally be written with the zero as it makes no different to the value of the number, however if 998.99 was rounded to 4 significant figures the result would be 999.0 with 4 digits, so 999.0 could be claimed to be a four digit number, which would then either be included or not depending upon whether the between is inclusive or exclusive.

Answer 2

2000 - not including the number 3000.

Answer 3

2000