Here are the four challenges
1. Take any two-digit number. Reverse the digits and subtract your answer from your original number. What do you notice?
2. Take any two-digit number. Add its digits and subtract your answer from your original number. What do you notice?
3. Take any three-digit number. Reverse the digits and subtract your answer from your original number. What do you notice?
4. Take any five-digit number. Reverse the digits and subtract your answer from your original number. What do you notice?
1. I choose 25. In reverse order it's 52-25 which is 27. The answer is bigger than the number I started with.
ReplyDelete2. I choose 89. Adding the digits is 17 and 89-17 is 72. The answer is smaller than the number I began with.
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Well done Rayyan, for question 1 try dividing 27 by 9. What do you notice? Try it with another combination.
Delete1. We choose 27 in reverse order it is 72-27 which is 45.
ReplyDeleteTry dividing it by 9. What do you notice? Now try 54 - 45, 31 - 13, 76 - 67. What do you notice?
Delete87-78=9 I notice that because the numbers are both opposite it won't stay in double digits .
ReplyDelete56-65 65-56= 9
ReplyDeleteI picked the numbers 23954 reversed the digits which would be 45932. I subtracted the numbers that equals 21978 and then subtracted the answer with the original answer and the answer was 1976
ReplyDeleteI tried to answer question 2. I tried it five times with the numbers 76, 63, 23, 92 and 68. Each time I added the digits and took them away from the original number the answers were 63, 54, 81, 18 and 54. I know the answer now can anyone tell me what what all these answers have in common.
ReplyDeleteOK so let's have a look at this again. 7+6 = 13 so 76 - 13 = 63. Try it with another combination. What do you notice?
DeleteI tried number 3 and I realised that the tens unit end in nine in my fifth attempt I feel that the rest of the answers have to do something with nine.I feel confident doing the rest answers.
ReplyDeleteFor the first question I used the number 84 in reverse 48. 84 minus 48 equaled 36 then I subtracted 84 by 36 which equaled 48. I found out that when I subtracted 84 by 36 I got the number 48 and 48 is 84 but reversed.
ReplyDeleteFor the second question I used the number 59 in adding it's digits is 14. 59-14=45
For the third question I used the number 169 in reverse 961. 961-169=792
I tried 1. so maybe 69 96-69=27
ReplyDelete2. 63 I add 27 63-27=36
I released that the number I reverse is the number that will reverse back like 27+69=96
I released that when 96-69=27 I tried to link with 2. and it turned out great.
i chose 64 reverse 46 the answer is 18 i noticed its a even number
ReplyDelete1.My number is 82,82 turns into 28. 82-28=54, I realised that the number that was reversed added up to my answer and made my original number.
ReplyDelete2.I have chose 36 for my original number. I am going to subtract it by 13 36-13=23, I have noticed that the number is slightly smaller than the my original number.
3.This time my original number is 246 when i reverse it,it is 642, 642-246=396.I have noticed that when i add 396 to 246 it produces my real number.
4.The real original number is 54321 it is 12345 when i reverse it 54321-12345=41976, i have noticed that the 2 odd numbers produce a even number.
Congratulations on posting the 1,000th comment on our blog Miriam!
DeleteThank you Mr Highman.
Delete6742_2476=4224 I got two of the same number
ReplyDeleteI tried question number 1 and the two digits that I make it ads up to nine.The last question has to do something with nine
ReplyDeleteI tried question four and I noticed that the hundredths coloum always ends in nine,I noticed this on my sixth attempt.I knew that the last question had to do something with nine
ReplyDeleteI had tried question 4 and I did 72349. I reversed the digits which would make 94327.So I did 94327-72349=21978.The number was smaller than the original number.
ReplyDelete75-57=18 so after i noticed that 57 divided by (my answer 18) it equals 3 but that in other terms is 18 x 3 which equals 54 and if you add 3 to that it equals 57 and then 75 divided by 18 equals 4 because in an other way that is basically 18 x 4 which equals 72 plus 3 equals 75. That was one Relationship I found between the two numbers.
ReplyDelete