Question

the greatest place value is ten thousand. the digit in the ones place is 7. the remaining digits are 2,4,and 6. one of the digits has a value of 40. the value of the digit in the hundredths place is 10 times greater than this. the digit in the thousands place is 2 more than the digit in the hundredths place

Answer 1

So the number you are looking for is between 10000 and 100000 written like this more formally

10000 ≤ x ≤ 100000

Now you move on to 7. How do you write were the 7 is? It's in the one's place. You don't anything else that's new so its

10007

Next you are told that one of the numbers making up the number you want is in the tens place (as in forty).

10007

. . . 40 Add

10047

Now we move on to the two remaining places. "This" is one of the most horrible words in the English Language. I suppose they mean that the hundred's place is 40*10 = 400.

10047

. .400 Add

10447 is what you get now.

The digit in the thousands place is 2 more than what is in the hundred's place. 4 + 2 = 6

So what we know now is that we have 16447

Finally we are told that there is a 2 someplace and we haven't used it. So it must be where the 1 is.

26447 That's your final answer.