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Q: Largest two-digit number with 7 as one of its digits?
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What is the difference between the largest five-digit number and the smallest six-digit number?

1 The largest five-digit number is 99999 and the smallest six-digit number is 100000, so the difference is one. If you're just looking for an answer to a homework question, that's all you need. For the brainy: Suppose the answer was greater than one. That would mean that there are one or more numbers between the largest five-digit number and the smallest six-digit number that cannot be written with either five or six digits. Either they would have to be written with four or fewer digits, which would make them smaller than any five-digit number, or with seven or more digits, which would make them larger than any six-digit number. If the answer was less than one, it would mean that it would be possible to have a five digit number that was greater than a six-digit one. So the answer must be one.


What is a staircase composite?

A number is called a staircase composite number when it has three prime factors that have different sized digits: the first is one digit, the second is two digits and the third is three digits. For example: [7] [41] [271] x 77 777 77 777 would be the staircase composite number.


Is negative 13.5 an irrational number?

No. Any number you can completely write down with digits, plus a fraction bar or a decimal point if you need one, is rational.


Is -19 a rational number?

-- Any number that you can completely write down using digits, and a decimal point or fraction bar if needed, is rational. -- A rational number is defined as one that can be written as a fraction using whole numbers. -19 can be written as the fraction -19/1 .


The sum of the digits of a two digit number is fourteen if the number represented by reversing the digits is subtracted from the original number the result is eighteen what is the original number?

86 8 + 6 = 14 86 - 68 = 18 The difference of a transposition (reversing the digits), is always divisible by 9. If you take the difference, in this case 18, and divide that by 9, your answer is 2. This will be the difference between the two digits (ie, 1 + 2 = 3, so transposing 13 and 31 results in a difference of 18. So does 24 and 42 or 35 and 53, etc). This helps you quickly solve the problem by taking one half of the sum of the digits (14), divide in half (7) and move 1 number in each direction (one being half of 2, the known difference between the digits) and you get 8 (7+1) and 6 (7-1). If your difference was 27, then the two digits would be 3 numbers apart (27 divided by 9 = 3) such as 14 and 41 or 25 and 52, etc. If the solution was 25 and 52: The two numbers add to 7 and the difference of the transposition is 27. The two numbers add to 7 - one half of 7 is 3.5 - move 1.5 (half of 3, 27/9) in either direction from 3.5 and you get your answer 5 (3.5+1.5) and 2 (3.5-1.5). Try it where the difference of the transposition is 36 (the difference in the digits will be 4) such as 37 and 73 or 48 and 84.