How many times does the number "9" appear in the page numbers of a 100-page newspaper? Choose from
the possible answers below.
( )9
( )10
( )15
( )19
( )20
( )21
Unless this is a trick question that I have missed, there should be 11 times that the
number "9" appears:
9, 19, 29, 39, 49, 59, 69, 79, 89, and twice in 99 = 11 "9's"
"11" is not a possible choice.
Is there something special about the numbered pages of a newspaper that would affect this answer?
Or are they considering that the "99"
has only one number 9 since the first
9 would represent 90?
I got 11 too. There is probably a trick but I do not get it. Perhaps they are counting upside down 6 or something.
I think you forgot
90, 91, 92, 93, 94, 95, 96, 97, and 98.
I get 20 times.
Oh how simple! Thank you!
You're welcome.
To determine the number of times the number "9" appears in the page numbers of a 100-page newspaper, we need to consider how the page numbers are structured.
In a typical newspaper, the first page is usually not numbered. So, we would start counting from page 2. From page 2 to page 9, there are no occurrences of the number "9." However, starting from page 10, the number "9" appears in every 10-page interval.
To find the total number of times the number "9" appears, we can divide the number of pages (100) by 10 and multiply by the number of occurrences of "9" within that interval. Since each interval contains one instance of the number "9," we can divide 100 by 10 to get 10 intervals.
So far, we have accounted for 10 occurrences of the number "9."
Next, we need to consider the numbers within each interval. From 10 to 99 (excluding multiples of 10), each interval contains one occurrence of the number "9" at the ones place (e.g., 19, 29, 39, and so on). This gives us an additional 9 occurrences of the number "9" within each interval.
Since we have 10 intervals, we can multiply 10 by 9 to get 90 occurrences of the number "9" through the intervals from 10 to 99.
Finally, we need to consider the number "9" occurring twice within the last interval from 90 to 99. This gives us an additional 2 occurrences.
Adding all the occurrences together, we have 10 + 90 + 2 = 102 occurrences of the number "9."
However, since none of the given options matches this count, it seems there may be a discrepancy or additional consideration specific to the question or its context. It's possible that the answer options provided do not accurately reflect the correct count of the number "9" in this particular scenario.