If you include the number 3,000, there are exactly 2,001 4-digit numbers between 500 and 3000.
There are 900 three digit numbers between 99 and 3,000 - ranging from 100 to 999
There are 900 three digit numbers between 99 and 3,000 - ranging from 100 to 999
1000 - 2999 inclusive.2000. It's inclusive, so you must add 1 to the difference.-----------------------------Number of whole numbers = last number - first number + 1The first 4 digit number is 1000The 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 = 2000If inclusive:The last number is 3000 → number of numbers between 999 and 3000 = 3000 - 1000 + 1 = 2001--------------------------------------------------------------------------------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.
2500 is the least whole number that rounds to 3000 because the last significant digit is 5.
If you include the number 3,000, there are exactly 2,001 4-digit numbers between 500 and 3000.
3000-999=2001.
2001 is the correct answer.
There are 900 three-digit numbers, all of which are between 99 and 3,000.
There are 900 three digit numbers between 99 and 3,000 - ranging from 100 to 999
There are 900 three digit numbers between 99 and 3,000 - ranging from 100 to 999
1000 to 2999 inclusive so 2000 numbers.
A palindrome reads the same forwards as backwards. Therefore the first and last digits must be the same, the second and penultimate the same, and so on. As 1000 & 3000 both have 4 digits, there are two pairs of digits that must be the same: the first and fourth, the second and third. The first digit (and hence last digit) can only be 1 or 2 - a choice of 2 The second digit (and hence third digit) can be any of 0, 1, 2, ..., 9 - a choice of 10 for each of the choices of the first/last digit. Thus there are 2 × 10 = 20 palindromes between 1000 and 3000.
1000 - 2999 inclusive.2000. It's inclusive, so you must add 1 to the difference.-----------------------------Number of whole numbers = last number - first number + 1The first 4 digit number is 1000The 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 = 2000If inclusive:The last number is 3000 → number of numbers between 999 and 3000 = 3000 - 1000 + 1 = 2001--------------------------------------------------------------------------------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.
3000
The 3004 is the exact same thing as the 3000, the last digit refers to which region it is from. The 3000 is from Japan and the 3004 is from Continental Europe/India.
The largest 4 digit number that can be rounded off to 3000 is 3499. If 3499 is rounded to nearest thousand then we get 3000 but if we consider a number greater than 3499 then rounding off yields 4000. So, 3499 is the required number.