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Q: What percent of the first 50 integers contain no odd digits?
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What are the rules for putting integers in order from least to greatest?

First, separate the negative and positive integers (put them into two separate groups). If there is a zero, you can put it in its own group - or put it into the same group with the positive integers. Negative integers come first, then zero, then positive integers.For positive integers:An integer with less digits comes before an integer with more digits.For integers with the same number of digits, look at the first digit. The integer with the smaller digit in this position comes first.If the first digit is the same, look at the second digit. If those are equal, look at the third digit, etc.For negative integers, it is the other way round - for example, an integer with MORE digits comes first.


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 integers with distinct digits are there between 1000 and 9999 such that the absolute value of the difference between the first and the last digit is 1?

952 of them.


How many integers with distinct digits are there between 1000 and 9999 such that the absolute value of the difference between the first and the last digit is 3?

An infinite amount


How many 4 digit numbers can you make that contain 5?

There is a clever but tricky way to solve this. If we have to find the number of 4-digit integers that contains at least one 5, we can also find the number of all the 4-digit integers and the number of integers that do not contain any 5's and subtract it from the first number. This is called complementary counting.So, first of all, we must find the number of 4-digit numbers there are. There are 9000 of them.Now, we find the number of 4-digit integers without 5's. By thinking a little bit, we see the first digit must be from 0~9 excluding 5. That is a total of 9 numbers. This is the same for the next three digits. Therefore, there are 94 = 6561 4-digit numbers without a 5.Finally, we can subtract. 9000 - 6561 = 2439

Related questions

What percentage of the first 100 positive integers contains no even digits?

50%


What are the last two digits in the sum of factorials of the first 100 positive integers?

They are 13.


What is the significant digits in 405000?

There are three, although integers ending in zeros are ambiguous.


What are the rules for putting integers in order from least to greatest?

First, separate the negative and positive integers (put them into two separate groups). If there is a zero, you can put it in its own group - or put it into the same group with the positive integers. Negative integers come first, then zero, then positive integers.For positive integers:An integer with less digits comes before an integer with more digits.For integers with the same number of digits, look at the first digit. The integer with the smaller digit in this position comes first.If the first digit is the same, look at the second digit. If those are equal, look at the third digit, etc.For negative integers, it is the other way round - for example, an integer with MORE digits comes first.


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 integers with distinct digits are there between 1000 and 9999 such that the absolute value of the difference between the first and the last digit is 1?

952 of them.


How many integers with distinct digits are there between 1000 and 9999 such that the absolute value of the difference between the first and the last digit is 3?

An infinite amount


Are all of the digits in the described measurement of 750 mL singnificant?

Integers ending in 0 are ambiguous cases. The measurement could be accurate to the units digit and in that case all three digits are significant. But is could be accurate to the nearest ten, in which case, only the first two digits are significant.


How many integers between 200 and 300 have the sum of their digits equal to 15?

Since the first integer of the 3-digit numbers must be 2, the sum of the second and the third digits would be 13.Since the largest digit is 9, the 3-digit numbers could be 249, 294, 258, 285, 267, and 276.Thus, there are 6 integers between 200 and 300 whose sum of their digits is 15.


How many 4 digit numbers can you make that contain 5?

There is a clever but tricky way to solve this. If we have to find the number of 4-digit integers that contains at least one 5, we can also find the number of all the 4-digit integers and the number of integers that do not contain any 5's and subtract it from the first number. This is called complementary counting.So, first of all, we must find the number of 4-digit numbers there are. There are 9000 of them.Now, we find the number of 4-digit integers without 5's. By thinking a little bit, we see the first digit must be from 0~9 excluding 5. That is a total of 9 numbers. This is the same for the next three digits. Therefore, there are 94 = 6561 4-digit numbers without a 5.Finally, we can subtract. 9000 - 6561 = 2439


What is the number 40 stand for in 4140 steel?

The first two digits indicates a Chromium-Molybdenum alloy steel the last two digits indicates carbon content roughly 0.4 percent.


What is the sum of the first 20 integers is?

The sum of the first 20 integers is 190.