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Sagot :
1. Notice this digit: 1,1,2,3,5,... What's the next 10 digits of it?
2. 1/2, 1/3, 1/4, 1/5,... what's the next increasing fraction?
3. What digit has the most divisibility of all one-digit number?
4. What is the first digit that when you divide it inexactly, it will leave you decimals, even changing the value? Note that 2 isn't this digit, because 5/2 = 2.5. It can still be an exact decimal.
5. What digit, if you have twice of it, you get more than 5 divisible numbers of it?
2. 1/2, 1/3, 1/4, 1/5,... what's the next increasing fraction?
3. What digit has the most divisibility of all one-digit number?
4. What is the first digit that when you divide it inexactly, it will leave you decimals, even changing the value? Note that 2 isn't this digit, because 5/2 = 2.5. It can still be an exact decimal.
5. What digit, if you have twice of it, you get more than 5 divisible numbers of it?
My teacher explained digit problems in school. I thought I had gotten
it, and so far I have found the right answers to the first three
homework problems. I thought I was getting the hang of it until I
stumbled upon one I couldn't figure out - and to my dismay the next
four were the same. Here they are:
1. A two-digit number is 6 more than 4 times the sum of its digits.
The digits from left to right are consecutive even integers.
Find the number.
2. A two-digit number is five times the sum of its digits. The digits
from left to right name consecutive integers. Find the number.
3. A two digit number is 5 times the sum of its digits. When 9 is
added to the number, the result is the original number with its
digits reversed. Find the number. Hint: The number with its digits
reversed is 10u +t.
4. The sum of the digits of a two digit number is 9. The number is 27
more than the original number with its digits reversed. Find the
number.
5. The units digit of a two-digit number is 2 less than the tens
digit. The number is two more than 6 times the sum of the digits.
Find the number.
I am pretty sure I am setting them up right, for example No. 5, the
one I understood best:
t-u = 2
6(t+u)+2 = 10t+u
Numbers 1-4 are the hardest. I would appreciate it if you did one of
those and showed me it step by step. Thanks Doc!
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