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Q: How many positive integers each have one less digit than their squares?
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How many 5 digit palindromes are there?

900 This explains it. A positive integer is a palindrome if it reads the same forward and backwards such as 1287821 and 4554. Determine the number of 5-digit positive integers which are NOT palindromes. We start by counting the total number of 5 digit positive integers. The first digit is between 1 and 9, so we have 9 choices. Each of the other 4 digits can be anything at all (10 choices for each). This gives us 9(10)4 = 90000 five-digit positive integers. Now we need to count the number of 5 digit palindromes. Again, we have 9 choices for the first digit and 10 choices for each of the next two. The tens and units digits however are fixed by our choices so far. Therefore, there are only 900 five-digit palindromes. Therefore, the total number of five-digit positive integers which are not palindromes is 90000-900 = 89100.


How many three-digit positive integers have digits whose product is 24?

To find the number of three-digit positive integers with digits whose product is 24, we can break down 24 into its prime factors: 2 x 2 x 2 x 3. The possible combinations for the three digits are (2, 2, 6), (2, 3, 4), and (2, 4, 3). These can be arranged in 3! ways each, giving a total of 3 x 3! = 18 three-digit positive integers.


How many different products are possible when two one-digit positive integers are multiplied?

When two one-digit positive integers are multiplied, there are a total of 81 different products possible. This is because there are 9 possible choices for the first digit (1-9) and 9 possible choices for the second digit (1-9), resulting in 9 x 9 = 81 possible combinations.


What are distinct positive integers?

The set of positive integers is {1,2,3,4,5,...}. When referring to numbers, distinct simply means different from each other e.g. 2,6,7 and 9 are distinct positive integers but 2,6,6 and 9 are not distinct since two of them are equal.


How many different two-digit numbers can be written if each digit must be one of the integers from 1 to 8 inclusive?

There are 8*8 = 64 such numbers.

Related questions

How do you do integers greatest to least?

Positive integers are greater than negative integers. For positive integers: * The integer with more digits is larger. * If two integers have the same length, compare the first digit. If the first digit is the same, compare the second digit, then the third, etc., until you find a difference. In each case, the integer with the larger digit (at the first position where you find a difference) is the larger one.


How many 5 digit palindromes are there?

900 This explains it. A positive integer is a palindrome if it reads the same forward and backwards such as 1287821 and 4554. Determine the number of 5-digit positive integers which are NOT palindromes. We start by counting the total number of 5 digit positive integers. The first digit is between 1 and 9, so we have 9 choices. Each of the other 4 digits can be anything at all (10 choices for each). This gives us 9(10)4 = 90000 five-digit positive integers. Now we need to count the number of 5 digit palindromes. Again, we have 9 choices for the first digit and 10 choices for each of the next two. The tens and units digits however are fixed by our choices so far. Therefore, there are only 900 five-digit palindromes. Therefore, the total number of five-digit positive integers which are not palindromes is 90000-900 = 89100.


What is the same about 24 and 48?

They are both evenThey each have 2 digitsFor both numbers the second digit is twice the first digitThey are both positive integers


How many three-digit positive integers have digits whose product is 24?

To find the number of three-digit positive integers with digits whose product is 24, we can break down 24 into its prime factors: 2 x 2 x 2 x 3. The possible combinations for the three digits are (2, 2, 6), (2, 3, 4), and (2, 4, 3). These can be arranged in 3! ways each, giving a total of 3 x 3! = 18 three-digit positive integers.


How many different products are possible when two one-digit positive integers are multiplied?

When two one-digit positive integers are multiplied, there are a total of 81 different products possible. This is because there are 9 possible choices for the first digit (1-9) and 9 possible choices for the second digit (1-9), resulting in 9 x 9 = 81 possible combinations.


What does opposite mean when talking about integers?

Positive and negative integers are opposite each other.


How can you tell about two integers when their quotient is positive negative zero?

If both integers are positive or both negative then the quotient is positive. If they are one of each then the quotient is negative.


What are distinct positive integers?

The set of positive integers is {1,2,3,4,5,...}. When referring to numbers, distinct simply means different from each other e.g. 2,6,7 and 9 are distinct positive integers but 2,6,6 and 9 are not distinct since two of them are equal.


How many different two-digit numbers can be written if each digit must be one of the integers from 1 to 8 inclusive?

There are 8*8 = 64 such numbers.


What is the greatest ten digit positive multiple of twelve using each digit once and only once?

9876543120


How many 5 digit numbers that end with 0 are there?

Assuming positive integers, and no leading zeros, the range of five digit numbers is 10000 to 99999. The ones that end in zero can be found by taking the four digit numbers: 1000 to 9999 and multiplying each by ten. {1000,1001, 1002, ...9999}, multiplied by ten is {10000,10010,10020,....99990}. There are 9000 of them.


What are rational numbers that have two integers?

Any 2 digit integers are rational numbers because all integers or whole numbers are rational numbers.