Question

Write the numbers that comes between 9999 and 1002

Answer 1

Answer:

The answer is the same for the question: How many 4-digit numbers are there?

1000 is the smallest 4-digit number, and 9999 is the largest.

Therefore, the number can be determined by the number of terms, n in the sequence:

1000, 1001, 1002,…., 9997, 9998, 9999

You can count from 1000 to 9999 for the answer, but easier to use a formula:

Using the formula:

last term = first term + (n-1)times common difference

9999 = 1000 + (n-1)*1

9999 - 1000 = n-1

8999 = n -1

n = 8999 + 1 = 9000

Another method:

There are:

9 ways to fill the thousands digit (1- 9)

10 ways to fill the hundreds digit (0 - 9)

10 ways to fill the tens digit (0 - 9)

10 ways to fill the units digit (0 - 9)

Therefore,

number of possible 4-digit numbers

= 9*10*10*10 = 9000

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