This is so helpful. I was really worried today because tomorrow I have school, and we are doing percentages. I looked at every single video until I found this. My life has completely changed from this one video..I can't thank you enough God bless you. Thanks again!!
I have not practiced or touched it for long but today in a test i have had this problem, it took me too long to make the right answer and as i saw the title of this video it made me deeply interested the way it is taught is such a time saving trick. I like it, it is very good!!!!!!!
Also remember that 4% of 75 is the same as 75% of 4. The math behind this is easy... (4/100 * 75 = 4 * 75/100) through the commutative property of multiplication. So, you can "pick" the easiest way to do think about it.
That’s what I was thinking as well. I accidentally worked out the % of opposite number, and the answer was same, I tried out with other numbers, % of both the numbers it was the same. So it’s better to work on which ever is easy to calculate. Thanks for the confirmation.,, now I am confident it works for real. hehe.. 👌😜😬
Still there another easiest method than this Example.:: 1.20% of 40 Just take a point from the end i. e. 4.0-->which is 10% of 40 Similarly 20 %of 40 =10% of 40+10%of 40=4+4=8... Example 2: 61% of 30 As said in the above example 1 Same... Take a point before the given last number.. i. e. 3.0 which is 10% of 30.. Now 60% of 30= 6×3.0=18 And to calculate 1% of 30.. We have to take a decimal point before the last two numbers.. ie..1% of 30=0.30 So 61% of 30=18+0.3=18.3 Example 3: 43 %of 25 10% of 25=2.5 1% of 25= 0.25 So here 40% of 25=4×2.5=10 3%of 25=3×0.25=0.75 43% of 25=10.75 Hope useful for someone...
Use the immediately obvious facts that 10% of 45 = 4.5 and 1% of 45 = 0.45 to solve the problem. a) 30% of 45 = 3 x 4.5 = 13.5 b) leaves remainder of 4% to solve for: 4 x 0.45 = 1.80 c) add results of step a with step b = 13.5 + 1.8 = 15.3 This method is generally applicable and quick to solve for any integer percentages of another integer - and explaining out the algorithm takes far more time than the actual mental manipulations of finding the solution.
The key to this percentage calculation is to be good with percentage parts and fractions. 10% is 1/10th 5% is half of 1/10th i.e. 1/20th 20% is 2 * (1/10th) or 1/5th And lots and lots of practice + your multiplication / addition skills will come to play.
One of my favorites is the divisible by three trick, add up all the digits (and if it's still bit too large do it until it's not) and if that's divisible by three the number you started with is. Same with divisible by six but only for even numbers :)
What? Are you trying to explain how to determine whether a number is divisible by 3, and divisible by 6? Edit: I guess we are saying the same thing, I just didn't quite understand what you were saying when I first read your comment, hence my diatribe and lengthy response. I just want to be sure people get the right information. For 3, you cast out 3s, it's easier than summing all the digits and seeing whether it's divisible by 3. Example: 13569 You "cast out" that is scratch out/throw away, all numbers, or sums of numbers, that can be divided by 3. For 13569 you can just scratch out 3, we know it's divisible by 3, also, 6 and 9, they are divisible, then finally, 1 and 5, because together their sum, 6, is divisible by 3. this is easier than going 1+3+5+6+9 = 24 which then needs to be checked if it is divisible by 3. And while this number/example isn't too difficult, for a number like 123,456,789 adding up all the numbers may not be quite as easy, assuming you haven't memorized the sum of course. By casting out threes from 123,456,789, we can scratch out the 1 and 2 as they total 3, a multiple of 3(meaning it is divisible by 3), then the 3 of course, also 4 and 5 as they make 9 which is divisible by 3, followed by 6(clearly divisible by 3) then 7 and 8 (which make 15 and is divisible by/a multiple of 3), and finally 9, another multiple of 3. That means you scratched out all the numbers and therefore the whole number itself is divisible by 3. This is easier than adding up all the digits and dividing by 3, well, unless you memorized the fact that the sum of the numbers from 1 thru 9 is 45(which is divisible by three). If I scrambled up all the numbers like, 274,813,596, that's just 123,456,789 written with the numbers in a different order, it may not be so easy. The divisibility rule for 6 is easy, the number simply has to be divisible by both 2 and 3 to be divisible by 6. So yes, it has to be an even number(the definition of being divisible by 2) and also divisible by 3. So if you want to know if a number is divisible by 6, just check first if it is an even number, then make sure it is divisible by 3, if yes, the number is divisible by 6. And finally, by the way, if you are interested, since 123,456,789 is divisible by 3, we know that 274,813,596 is divisible by 3 given the rule. And if we want to know if 274,813,596 is divisible by 6, we check first if it is even, which it is, it ends with the number 6, thus making it an even number, then we see if it is divisible by 3, which it is as shown above, so as it is divisible by both 2 and 3, the number 274,813,596 itself is divisible by 6. 274,813,596 divided by 6 is equal to 45,802,266. P.S. If you are interested. To test whether a number is divisible by 4, just check the last two digits of the number, if it is divisible by 4, then the entirre number is divisible by 4. example: 50,124 Just check the last two digits, in this case 24, is it divisible by 4? Yes (24/4 = 6) So the number 50,124 itself is divisible by 4. To test whether a number is divisible by 8, just do the same thing, but with the last three digits(instead of the last two). example: 50,124 Check the last three digits, 124. Is 124 divisible by 8? No, 124/8 = 15 with a remainder of 4. So the number 50,124 is NOT divisible by 8 (even though it is divisible by both 2 and 4) And it also happens to be divisible by 2 and 3, so also 6, which makes it an interesting number which I picked at random. The divisibility rule for 7 is a bit complicated so I won't explain it here. And I'm sure you know the divisibility rule for 9 is the same as 3, just cast of 9s. And mind you, just because a number is divisible by 3 does NOT mean it is divisible by 9. Case in point, 15, divisible by 3, but NOT by 9, obviously. However, all numbers divisible by 9 ARE also divisible by 3 (as 9 is just a multiple of 3). I assume you already know the divisibility rules for 2, 5, and 10, they are really easy.
this is actually the way ive always been doing it even before i started looking at shortcuts on youtube... it makes so much more sense than just mechanically calculating, which 99% of people won't be doing on a daily basis and it's better to be approximately right and perfectly wrong.
Let’s prove that x% of y is equal to y% of x. This is the same as saying 0.01x*y = 0.01y*x. Multiply both sides by 100 to get x*y=y*x, which is a true statement due to the commutative property of multiplication. This is helpful when you are trying to find for example 42% of 30. Instead of doing 4*(0.1*30)+2*(0.01*30) just do 3*(0.1*42). This results in 12.6. * means multiplication and x and y are variables.
For example I say that 39% of 28 is 10.92 so just multiply the numbers by ignoring the percent and using "of" as "x" so 39 x 28 = 1,092 and divide 100 so 1,092 / 100 = 10.92 so boom you will always get the right answer if u use this method and works for ANY number but use it propely I USE THIS METHOD FOR MANY COMMON PERCENTAGE PROBLEMS
22% of 30 is very very amazing step this step clear my all concept or wesy bhi is way sy kisi bhi digits ki % nikali gay Wo bhtt easy tariqy se nikl aa rahi he thanku so much 😊
2:43 Or simply reverse it. 61% of 30 is the same as 30% of 61 (try them on a calculator if you don't believe me). Take 30% of 61. Now instead of 30%, make it an easy 10%, which is 6.1. But since you needed 30%, you need that 6.1 three times, so multiply times 3 to get 18.3. Now look at the original problem and you should recognize the answer without making any calculations. Put another way, when you're fortunate to have either number a multiple of 10, make sure that number is on the left, then figure how many 10% of the number on the right you need. In the example, you need three. 10% of 61 is 6.1, and three of them is 18.3. If the problem had been 61% of 40, this is what you'd do: First, change it to 40% of 61. How many 10% of 61 do you need? You need four of them because there are four 10% in 40%. So take the 10% of 61, which is 6.1, and multiply times four. 6.1 x 4 = 24.4, which is the answer. After doing a few of these, you'll see the answer as soon as you see the problem. When I see 61% of 30, I see three 6.1's, or 18.3. And I'm no mathematician. Math was always my worst subject. Both are great techniques.
EASY TIPS, PLZ try to practise and remember this •4 (%), (100%, 50%/half, 10% & 5%) then break it down so it’s easy to calculate for eg. [60% of X is (50%+10% of X)]. It’s easy and quicker another eg. [15%of 10 is {10%+5% of 10}, (10%*10)+(5%*10) which is (1+.50) =1.50]. It is easier to break for larger numbers. • For smaller % less then 10, like 2%, 3% 9% etc it’s easier to do it direct eg. 2% of 10 is (10*2/100), (20/100) = 2. • So if it’s 52% of X, break it down to {(50%+2%)X}. 50% is half then calculate 2% it will make 52%. • For 9% you can minus 1% to make it easy. Or do it direct.. Cheers hope it helped… Remember to learn 50%, 10%, 5% so it’s easy to break down. below 10% do it direct 😬
34% × 45 45.0+5.0 = 50 | 5 = 50 × 0.1 34 × 50% = 17.0 17-1.7 = 15.3 This is how I do it in my head. I just keep moving things around and turn it into multiple simpler equations. With enough practice, you'll solve this almost instantly. Once you realized the patter of numbers, you'll just guess/estimate and it will most likely be correct. Hahaha. Somehow, it's like magic.
This takes about 45 seconds if one thinks efficiently. Amazing how concise and prompt you were, allowing me to feel less stupid very rapidly, thank you.
Do we have to remember all you wrote down? When all you have to remember is 40 x 20%=8, 4x2=8. The next one is 61% x 30 = 18.3 6x3=18 and 1x3=3 add a dec pt. .3 I saw another one where somebody wrote almost the whole page on how to multiply 106x106 or 106 sq. instead of just writing down this, 1x1=1-- 2x6=12--6x6=36 answer 11,236. Or 206x206=42,436----2x2=4----6+6x2=24----6x6=36. Sorry but I like one line instead of a whole page. Thank you
I found my own way of getting percentage of any number when I was having trouble calculating it For eg 9% and 24% of 93 So multiply the no. Put 2 decimal places before it like 93*0.09=8.37 and 93*0.24=22.32
How I calculated 34% of 45 in 4 secs without seeing video and calculation: 3 parts of 45 = 15 3 parts of 100% = 33.33% If we take, 45=100% Then, 15=33.33% Automatically, answer will be somewhere around 15.3 *P.S I haven't see this video yet, just solved the question given in thumbnail by my own way to solve.*
Please remove the % symbol of the answers. eg 66*21% should be 13.86 and not 13.86%. I am not doing any criticism here. I appreciate your work, just giving a bit feedback to improve it next time.
Those saying it is more complicated than it needs to be aren't taking into account he is explaining the work. Kind of like back in school the teacher wants to know how you came up with a particular answer.
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Can you solve this equation without using a calculator. 50+50-25x0+2+2 = ? Watch this video for the correct answer ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-3MZNRXgR7H8.html
