How many 2 digit positive integers are there?
Details and assumptions
The number 1 2 = 0 1 2 is a 2 digit number, not a 3 digit number.
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There are 9 possibilities for the first digit, and 1 0 for the second digit. So there are 9 0 total possibilities.
two digit positive integers are only between 1 to 100, there are 100 digits, just substract the digits which are not two digits like 1-10 and 100 then, 100 - 9+1 = 90
The lowest positive integer is 10, and the greatest is 99. We can find the number of two-digit numbers by subtracting the two numbers:
9 9 − 1 0 = 8 9
But we need to make sure we include both 10 and 99. We only included one of them. So we have to add one back.
8 9 + 1 = 9 0
There are 9 0 two-digit numbers.
2-digit positive integers go from 10 to 99. Counting every integer in this list shows us that there are ( 9 9 − 1 0 ) + 1 = 90 2-digit positive integers.
1(0-10_ =10 nos.
there are 9 possible tens digit numbers.
9 × 1 0 = 9 0
it starts from 10, 11, 12, 13, 14, ... ,97, 98,99 ....
This isn't a complete explanation. It is not immediately obvious what is being done.
You should ensure that your explanations are clear enough that those who are unable to solve the problem can understand how you worked through it.
it doesn't work
the first two digit is = 10. The first number is referred to "a".It followed by 11,12,13,... So,the "b"(ratio) is 1.And the "Un" is 99 ( because it is the last two digits,and we want to find "n"). Do it with formula will be = Un=a+(n-1)b 99=10+(n-1)1 99=10+n-1 99=9+n n=99-9=90.
There are 90 positive 2 digit integers. The 2 digit positive integers range from 10-99, which are 90 different numbers.
99-9=90 the nine number are (1 to 9)
In 1 to 99, there are 99 positive integer. Among them 1 to 9, there are 1 digit. So, the required answer is (99-9) = \boxed{90}
The two digit numbers are all in the range [10, 99]. If you subtract 9 from each element in this list, you get the range [1, 90] which (if you look at it: 1, 2, 3...) has a length of 90. Therefore, there are 90 2-digit positive integers.
We can say that - we have * 9 possibilities * for the * tens digit * {excluding the "zero"}
and 10 possibilities for the unit digit .
9 × 1 0 = 9 0
Hence there are 90 such numbers .
Integers are whole numbers (including zero) and their negatives. I = {..., -2, -1, 0, 1, 2, ...} The positive integers are restricted to just: P = {1, 2, 3, ...} The two digit numbers in this set begin at 10 and end at 99. To count them, simply subtract and add one: 99 - 10 + 1 = 90. Or, count starting at 11 and you'll end up with 89, then add one more for 10 to get 90.
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So, There is 9 9 − 1 0 + 1 ⟹ 9 0 integer.