And can you please help me? I am in 10th and am really very nervous for my exams since we have a very huge syllabus in every subject. Can you please help me in maths? like any videos to simplify complicated chapters for class 10th students for this year?
Tbh, you only need to test for 2,3,5,7,11,13 because if they're divisible by 4,6,8,10,12 then they're divisible by 2 and if they're divisible by 9 then they're also divisible by 3
Hey. U only need to check divisibility for 1 to square root of that number. For example: u want to know if 101 is prime. Square root of 101 is 10.1(suppose), u only need to check divisibility for 1 to 10 . And also u don't need to check for even number bcoz if the number is divisible by even number then it will also be divisible by 2 . So it can't be prime(except if the number itself is 2). So for 101 we only need to check for 2,3,5,7,9. The reason is simple. Suppose the number is 100. Square root of 100 is 10. So. 10x10 = 100. (Less than 10) x (Less than 10) = Less than 100) (Greater than 10) x (Greater than 10) = Greater than 100 So two numbers will only make 100 when one is less than 10 and the other is greater than 10. So if there is an integer less than 10 which divides 100 perfectly then there must be an integer greater than 10 which also divides 100 and together they make 100 when multiplied by each other. And if there is no number less than 10 which divides 100. Then there can't be a number greater than 10 which does the same. I hope this is helpful
*You can invent your own divisibility tests for the next prime number or use algebra to verify the existing ones* . Here is how - Assume A is a positive integer and b is a single digit. So, Ab is mathematically (10A+b). To invent your divisibility test of 7 or 13 or 17 - (10A + b) = 10 (A - 2b) + 21b. Since 21 is a multiple of 7, you just need to check if A - 2b is a multiple of 7 (10 is ignored because it's not a multiple of 7 and has no common factors). (10A + b) = 10 (A + 4b) - 39b. Since 39 is a multiple of 13, you just need to check if A + 4b is a multiple of 13 (10 is again ignored since it's not a multiple of 13 and has no common factors). (10A + b) = 10 (A - 5b) + 51b. Since 51 is a multiple of 17, you just need to check if A - 5b is a multiple of 17 (10 is again ignored since it's not a multiple of 17 and has no common factors). So, divisibility test of 17 is the same as 7 except multiply the last digit by 5 instead of 2 and check if the remaining (smaller by 1 digit) number is a multiple of 17. Repeat as needed if its not small enough. *Thank you for sharing your videos. I did not know the divisibility test of 7 but in an attempt to verify it's correctness, I was able to invent my own test for 13 which later matched as your video continued into the next prime. I added divisibility test of 17 to prove that this method of inventing new divisibility tests works for any next prime number* .
(10A + b) = 10 (A + 2b) - 19b. Since 19 is a multiple of 10, you just need to check if A + 2b is a multiple of 19 (10 is again ignored since it's not a multiple of 19 and has no common factors). So, divisibility test of 19 is the same as 7 except *ADD* instead of subtracting twice of last digit and check if the remaining (smaller by 1 digit) number is a multiple of 19. Repeat as needed if its not small enough. Example: 4446 => 444 + 12 = 456 => 45 + 12 = 57 => 5 + 14 = 19 which is a indeed a multiple of 19. Is *437* a prime number ?
On the 157. You shouldn’t need to check for 13 as 13 squared is 169. If any number below 169 is divisible by 13 then you will have already found a divisor! Another interesting for 13. Multiply it by 7 and then 11 it will be a multiple of 1001. Example 273 x 7 x 13 gives 21021
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In the manner in which you are commenting and the mathOgenius sir is talking I think that you both are brother because you are always writing a word brother and a friend Anyway I don't care because I hope that if you are both are not brother but in which manner and you both are talking I hope that you were always be a friend or a brother not in real life but in online you are always be brother I wish to God and pray to God to make your friendship or family nice always together
In the manner in which the ( Aaradhya Gujar ) commenting and the mathOgenius sir is talking I think that you both are brother because Aaradhya always writing a word brother and a friend Anyway I don't care because I hope that if you are both are not brother but in which manner and you both are talking I hope that you were always be a friend or a brother not in real life but in online you are always be brother I wish to God and pray to God to make your friendship or family nice always together
See imma give you an example .take this no as example : 5678934 Now from 4 start naming the number s as odd and even O=odd and E=even 5 6 7 8 9 3 4 O E O E O E O Now add the odd numbers and even numbers Odd=4+9+7+5=25 Even=3+8+6=17 Subtract the numbers now 25-17=8 Is 8 divisible by 11 No So your number 5678934 is not divisible by 11
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Hello, could you help me with this problem, so that I can find free time to dedicate to mathematics, I have this homework that is part of my routine and I want to see how I could make it less stressful or tiring, I have 11 subjects that I did in high school and these are; Chemistry, Social Sciences, Mathematics, Biology, Philosophy, Plastic Arts, Language, Physics, English, Music, Religion because my school is Catholic, I already saw your intercalation video but I don't know how I could intersperse these subjects and get good scores in my exams In addition to correctly learning each topic that is presented to me, I also saw a video of a youtuber called Fayelinn but her way of organizing the topics is very masochistic and unnecessary, I also take a private English course that lasts an hour and 30 minutes from 5 -6:30 pm, besides that I also help my mother in her work washing dishes that takes me about an hour, in short, if you can help me with my hour of self-study, that is, my study sessions to be able to assimilate each lesson correctly I would like each subject since I have tried to do it but I don't know how to do it since the videos I see are more aimed at the university. Anyway, to complement my class schedule is like this: Monday: Chemistry, Social Sciences and Math 8-1pm Tuesday: C.sociales, ED. Physics, Biology 8-12.20 pm and in the afternoon Art. talks and philosophy 2:30-5:30 pm Wednesday: Language Arts, Social Sciences, and Physical 8-12:20 pm Thursday: Social Studies, Biology, English 8-12:20 pm Friday: Math, music, religion and language 8-1pm Every afternoon from 5 to 6:30 pm I have English classes from Monday to Friday. [5:27 p. m., 28/9/2022] Villarroel Churqui: and all the weekend i do my homework of this week
