I was a B+ student in Math in High School until I hit ‘New Math’. I had a lot of turmoil going on at home so there was no help there. I tried going through counselors at school, hoping to find some tutoring. Somehow there was no real guidance (counselor didn’t do anything, said she couldn’t help) and the ball was dropped. Finally, once again I turned to my teacher and though he was aware of my efforts he told me to drop the class. It was SO demoralizing and facing no other sources of support… I did just that. (I couldn’t find a way forward so I considered myself incapable). At nearly 72 my inability to understand math has been my lifelong frustration. I have always been interested in career fields that required math and found I could never begin to consider them. I THANK YOU for your efforts on this channel I am a new GRATEFUL follower!!
I am 72 and can totally relate to the NEW Math they threw at us in the 7th grade! My parents didnt understand it and frankly did not bother trying to help me on ANYTHING related to school. Neither did my teacher. Her attitude was get it on your own or flunk. I made it thru but it left me not liking math. Then in college ad I progressed through calculus and the prof had the same attitude it was distressing. I was told by my elementary functions math prof that I solved problems with "brute force and ignorance ". But I arrived at the correct answers. Now at my leisure I love these math classes and find I'm quite good at it because theres no pressure and I'm doing it because I live it. I haven't missed an answer here yet. Thanks for these videos!!! From a retired family medicine practitioner of 50 years
75+ years ago I was learning basic maths. No PEDMAS for us but 10/ 10x10x10 easily became 10/1000 or 1/100. I have managed to be right in 8/8 of your questions so far. Has basic maths become more difficult or has trying to make it easier for children backfired? I will still continue to check I have not become too dumb in my old age
The biggest problem with modern arithmetic teaching is that it's all cart before horse. Children are supposedly going to learn the "whys" of math questions, before learning how to get the problems solved correctly. This is especially obvious if you've seen Common Core curriculum materials. People are even given full scores on math assignments, even if they come up with the wrong answer entirely. Of course the natural consequence of rewarding poor math results is to get more bad results. Hence my calling it "cart before horse." My Grandmother was absolutely insistent that I (and all her grandkids) learned my arithmetic tables at a very young age. I may not have understood the full logic behind it, but I could get the right answer. Weirdly, knowing the answer actually made it easier to grasp the rationale behind the answer, making mathematics one of my best subjects in school, always scoring in the 98th percentile or so in standardized tests.
Schools these days are busy trying to indoctrinate your children, like teaching them gender theories, equalities, & all that woke crap, instead of concentrating on math, biology, chemistry. I got this right too, cuz I remember exponential before anything.
Common core has become the death of public schools. They dont teach the formulas anymore. Its basicly counting on your fingers and toes in a nut shell. Stupid
Thank you for your reply Andrew. I meant to show 10 over 10x10x10 which did not require brackets in the olden days. We crossed out the top 10 (leaving a 1) and did the same with one of the bottom 10’s. This became 1 over 10x10x1 or 1 over 100. Maybe our maths working was more visual.
@@donlute3444 I hated math, Yes, but my edge to learn and protect people was all encompassing. I trained and served as an EMT, a Paramedic, a Physician, a Police Officer, a soldier, and an instructor in aviation, scuba diving and other useful endeavors all to add to my “Rescue” skills. Math was a void in my education relying on my basic knowledge and others to bridge my skill set. As I grew older only my pride, technology and lack of enthusiastic teachers/professors held me back. My interest never wained. John is one of few that I’ve encountered. Now I have the time and interest to fill that gap. Thank God that there is people like John that still exist or otherwise people like me would not know the “secrets” to learn what was previously unavailable to me/them. Thank You, John!
That's just how he is. I can never watch start to end. Just work the problem and then skip forward and only pay attention if you got it wrong. I don't know if he got to Dear Aunt Sally on this video, but no matter as I knew it.
Yeah, 14mins could be shortened to 5mins. Can’t watch the whole thing. I do the math problem and speed to the end of the video, or look in the comments for the right answer.
I wish I had had you as my high school math teacher. My geometry teacher would face the chalk board when class began and then begin droning on and writing on the board. He never turned around to see if anyone had a question. When the bell rang ending the class, he stopped and that was it. I never took another math class. Your students are very fortunate!
I'm 66 years old who was never a math whiz but did like geometry and statistics. My husband, an engineer, is the best math teacher I've ever had because he can clearly break problems down and explain things, plus he has endless patience. :) Well, I recently found your channel and decided to start working on a few problems just to challenge my aging brain. Seems I might have learned more and remember more about basic math than I thought I did. Anyway, thank you for making math understandable and enjoyable.
I didn’t get a wizard math teacher until my first year in college. She was from a family of mathematicians who played math games. She could give you ten ways to get to the correct answer. Her mind revolved around math like a musical instrument. ❤
Everybody needs to learn to tie their shoes at some point. You learned it. That doesn't mean there isn't a 12 year old somewhere that needs to learn this for the first time. They didn't make it hard. They worked through the logic that you take for granted because you learned it 60 years ago. I used a^m ÷ a^n = a^m-n. But you need PEDMAS(order of operations) to know that.
I did these about 50 years ago, was a straight A student in maths. Basic maths has always been a problem for so many, but in reality it never changes, it's just understanding a concept. I enjoy doing the basic maths types, keeps the old grey cells working, lol
10 ^1 / 10^3 ---> 10^(1-3) --> 10^-2 --> 1/10^2 --> 1/100 I would stick with the rules for exponents, i.e. dividing is subtracting exponents and not go down PEMDAS (multiplication - divide).
I’m a grandma having to go back to the school of math to help my grandkids with theirs. It’s almost like I’m digging up subconsciously stored math principles that I acquired, but at the time no conscious awareness of it was happening! Your channel is drawing it all out, and I am amazed, even at my age, of the AI’s ability to retrieve it from so deep a recess, or reteach an old brain. I shouldn’t be because I am aware of the “awe-inspiring way in which we are wonderfully made.” The reminders of it never get old!
It’s like a second language. You have no idea how you know certain words. You can’t remember where or when you learned them but you know you know them.
Tutored an adult remedial math student. Asked her: how much money do you have, if you have 75 percent of one dollar? She was baffled. She had zero concept of fractions or percentages.The struggle is real.
@@deltabravo1811 lol that’s bad. I waited tables through school back in the day and we had to hand write their bills. The taxes here were 8% PST, 7% GST and alcohol tax 10%. One of my coworker’s mind was blown that I didn’t need a calculator for the alcohol tax. I tried to show her and she just sat there in total shock and was like “Oh I could never do that without a calculator”. I gave up. Imagine needing to whip out a calculator to figure out what 10% is on a $22 bottle of wine! 🤦♀️
For sure. I see all fractions as decimals. I log inspection sheets in manufacturing. They always write it in fractions and I convert every one of them to decimals.
When I first saw the problem my immediate thought was to express both terms as exponents: 10^1 / 10^3, which allows simple subtraction of the exponents to give 10^-2, which is 1/100 or 0.01.
10^-2 is .1 It would be 10^-3 which moves the decimal to the left 3 spaces to be.01 Correction I was assuming you were also using scientific notation. You were using basic notation instead and thus your ^-2 was correct.
I have hated dealing with math my whole life and I blame it on bad math teachers! If you are not taught math properly in the beginning stages of your education, you end up with a week foundation and its very hard to build on top of a week foundation. This reasoning goes for a lot of thing in education.
In the way the problem is written, .01 is the correct answer. If you wrote the problem in the format that you gave your answer, then you are correct. In the end both 1 over 100 and .01 are correct answers.
@johnletourneau6176 , you are absolutely correct💯% The facilitator didn't finish off completely! At 71, I had worked out mentally, the answer 0.01, in less than 10 seconds...as taught in high-school in the late 1960,s!
Love this. I am getting all the answers.! CARRY ON, PLEASE. Our math's teacher, the last two years of high school. broke the confidence of our whole class.
I've been out of high school for well over 30 years at this point - I wish my math teachers were this thorough. Thanks for sharing your knowledge and teaching skills
It is 10^(-2) or 0.01 (10^1 / 10^3) In a division, subtract the denominator exponent from the numerator exponent IF the base (10) is the same. It is also 10/1000.
I love these videos. Short and sweet and super helpful for those of us who are more language-oriented. I write and proofread, I am great with anything English. Not so much with math, but I got this one!
I have been enjoying your content for a few weeks now. I find it great for reminding me of much of what I've forgotten. My only nit to pick is that I can watch a 15 minute video you have created and 7 of those 15 minutes have nothing to do with actually solving the problem. Otherwise, informative content. Keep it going.
You just explained it to me in one second. Thanks chesswizard05.😊😊😊 I still don't get how 2 to the third = 6 in the example, when 2x2x2 would be 8. 2x2 =4 ×2 =8 he confuses me, lol.
Another reason you have to do the 10e3 first is because you have to know what you are dividing the 10 by. The e3 is for the 10, not for the whole problem.
1 - 3 = -2, so 10^-2 Exponent tricks are fun! :D (that only works if they have the same base though - you couldn't get away with that with 8 / 6^2, for example)
The only issue in many things in life is understanding the questions correctly and not trying to cut corners. I have been getting them right but I was good at maths before and I understand the codes.
It helps greatly to have a proper understanding of math. Most (including most calculators) will get the following simple equation woefully wrong: 8/2(1+3)
parietal lobe areas are central in calculating and processing of numbers (1,3), while frontal lobe areas are involved in recalling numerical data-they like to suppress parts of your brain and Hoover over you collecting your thoughts-to confuse you so you can’t remember-
The division sign makes it confusing. I think that is why algebra uses / instead of that sign. And if you are going to use that division symbol then we should use parenthesis to eliminate the confusion of what order we should do it in.
I'm from Canada. We use BEDMAS Brackets, exponents, division, multiplication, addition, subtraction.... essentially the same idea. Never good at math. I've been watching a few of your videos. Always good to learn.
Greetings. The correct answer is. 0.01, determined as follows 10 divided by 10 raised to the 3rd power. Now, 10 in the numerator is the same as 10 raised to the 1st power, divided by 10 raised to the 3rd power will result in 10 raised to the minus 2. 10 to the minus 2 is the same as 1 divided by 100 = 0.01.
I didn't know about PEMDAS, but I knew to cube the denominator before any other step. I was then. able to get the correct answer. My Highschool freshman algebra teacher, Mr. George Hilla taught me well! In fact, Mr. Hilla was one of the best teachers I ever had. I'm pretty good at math, in large part to him. Wow. I graduated H.S. in 1975. If Mr. Hilla is still alive, he'd be about 90 by now.
You don't even need order of operation for this specific problem; when you have any number raised to any power with an arithmetic operation, you either add the exponents or subtract the exponents as needed. in this case 10^1 / 10^3 = 10^-2 or 0.01
I don't ever remember a teacher using the acronym PEMDAS, but it must have been taught to me because, I can usually figure these math problems out. Thanks for the tip though.
I remember the order of operations for sure, but not the acronym until about 30 - 40 yrs ago. I loved math and was a math minor in college. Now I'm 65. Thank you for your channel
@@linsqopiring6816 I only know what I use on a daily basis, the rest is History 🙂. I teach High School Veterinary Science which includes weight conversions, calculations for drug administration, and simple math for calculating vital signs. Other than that, my college math has gone bye, bye.
@@FTG2Eli Kind of what I suspected. I think probably any math beyond grade 10 is almost never used by the general population. Even lots of stuff in grade 10 is never used.
Master each step, yup. 10/1000 is just as simple to reduce but I understand your method helps with the optics. I think we may have used this method in school with dividing numbers with exponents (I personally found it confusing initially because it seemed to demand an unnecessary step). It probably is beneficial to those who might find the larger numbers daunting.
It's not hard. There are some easy rules for exponents and the one for division says: 10 to power 1 divided by 10 to power 3 means you take the power 1- power 3 which becomes -2. SO you get 10 to -2 power which is same as 0.01 or 1/100. The rule for division is take the powers and subtract, where multiplication is to add. Easy peasy.. He then Makes it easy to learn/ understand rules when he explains why the rule exists by showing 10/(10*10*10) and how 10 on top and one on bottom cancel out because 10/10 is same as 1. The point is to learn the rules because it's not always going to be as easy as 10/1000! Hope this helps...
i think its easier than all that, its just 10 divided by 1000, so just move the 1 to the right place with the decimal point. Edit, so 10/10=1, 1/10=0.1, 0.1/10=0.01 I think that makes it a lot easier.
@@amandachilds5290 Sorry, misread that bit then. Also i wasnt sure you could have negative power numbers. Maybe ive just never been taught that side of it.
Do they still use the FOIL system in school ? I had to take a math test for a managerial position in statistical process control. 30 years out of high school and some computer programming training my math skills were basically forgotten. I was looking at the number sentence and all of a sudden the Foil method clicked and I had 100% on the test! I told my manager I had no skills in math. I truly believe I did not like math. I was an A student in mostly everything other subject! I had a reason to want to do math and it'll clicked. I love your tutorials for all the things I missed or didn't grasp at the time. I also have never heard of your PEMDAS I thought it was new math until you stated otherwise.
Yes, but i dislike FOIL as an acronym since it's just the distributive property applied twice lol. Good on you for rediscovering math's applications though!
@@idlesquadron7283 when my children were in school back in the early 90s they needed help on their homework. They used to become very upset with me because although we had the same answer it was not done by the same process! Leading to a lot of frustration and Tears!😰 now they have their own children....... I'm curious to see what happens😂
This guy keeps changing the formula for us newbies. If 2sq is 4, how can 2 to the power 3 =6, when he says 10 to the power of 3 = 1000. 10x 10 = 100 × 10 = 1000. So 2 power of 3 would be 2 x2 =4 x2 =8 ? HELP PLEASE 😮 ANYBODY. 😊
It's not hard but many teaches make it confusing...There are some easy rules for exponents and the one for division says: 10 to power 1 divided by 10 to power 3 means you take the power 1- power 3 which becomes -2. SO you get 10 to -2 power which is same as 0.01 or 1/100. The rule for division is take the powers and subtract, where multiplication is to add. Makes it easy to learn rules and he explains why the rule exists but showing 10/(10*10*10) and how 10 on top and one on bottom cancel out because 10/10 is same as 1. Hope this helps...
I never heard about PEMDAS until my grandkids started school. I would like to see a practical problem in engineering where PEMDAS is important; I always set up problems in parenthesis that kept numbers straight.
Let me explain what Mathematic is. Math means LOGIC. If you don't have logic, then you must be extremely bad in math; but math can make some one logical just by studying it and understanding it. So math and logic they go together and they are like nuts and bolts in the same size. The more you know, the more you are logical.
I wish my junior high and high school math teachers had been so great at breaking things down like this. English was my forte but I might have actually liked math if it had been explained so clearly. As it was, the only form of mathematics I excelled in was geometry (which I loved…solving all those theorems and having a gifted teacher).
@@cmack2769I think you just ended up with it backwards (or upside down). You should have gotten 10/1000 which reduces to 1/100. If you don’t do it as a fraction, you end up with 10 divided by 1000, which = .01, which is one hundredth or 1/100. Hope that helps!
Wow! That was explained in such a confusing way for this particular problem. And he never said to put it in fraction form. 10÷1000 = 1000 into 10 which you have to add zeros to equalize places so it is 00.01. I wish there was a division sign on the keyboard. Anyhow its 10.00÷1000=.00.01 which = 1/100.
Got it! I guess I’m not such a stupid 67 year old accountant after all. I earned 2 graduate degrees in accounting and mba in finance and business analytics while working full time/ overtime in my 50s. Yay! This gives me hope. Miracle of miracles. Thank you for your self esteem building math videos.
Operator order of application to evaluate expressions: Expressions in most deeply nested brackets first, then unary, exponentiation, multiplication, addition. Any possible ambiguity should ALWAYS be resolved using brackets to specify intended order of operation.
I just divided the fraction like you would to get a percentage (10 divided by 1000). Then I took the answer (0.01) and changed it to a fraction (1/100). However, your way was less confusing.
Covert everything to scientific notation or exponential form. Makes the problem easier because dividing my exponents with same coefficient is simply subtracting the exponents. 10^1 / 10^3 Same coefficient of 10, so subtract. 10^1 - 10^3 = 10^-2 10^-2 = .01
14 minutes to explain and work through an exponent and division makes me happy to relearn from a textbook if I need to help out. Someone got left behind in homeschool
I just mentally used law of indices...10 = 10^1, so 10 ÷ 10^3 = 10^1 ÷ 10^3. As it's a division with numbers of the same base we subtract the indices: 1 - 3 = -2, so therefore 10^-2 = 0.01.
Nobody can please the whole world. Life is extremely short! Why not lose our pride and appreciate what is served to our plate? Let’s be grateful to this teacher’s hard work and patience. Do not feel jealous for any money the teacher earns from RU-vid. Always, you also have the freedom to earn money if you want to.
Calculator? I remember using Log Tables at school. To me she wasn't a good teacher and many times the entire class didn't understand. I did some Open University courses which involved a bit of maths and only then understood properly how to rearrange equations. I've seen a few of your videos and they are very clear at explaining things.
The answer would be 1 if it was solved as (10÷10)^2, but in this question, we must first do the exponents, following BEDMAS, or whatever. So it can also be said as 10 ÷ 1000, which is 10^3. And the answer would be 0.1.
and here's a memorization tip for YOU: remember, "pneu" means "air or breath", the word you are looking for but keep missing is "mnemonic"... you continually say "pneumonic", when you mean "mnemonic", unless aunt sally has PNEUmonia.
Here's the fastest and best way to solve this. I learned this at Durham College in the academic upgrading program. This only works for multiplying and dividing when the numbers have identical bases [4x4, 7x7, 12/12, etc... exponents be dammed...]. ^ = raised to the following exponent / = divide by the following number. 10^1 / 10^3 = 10^[1-3] = 10^-2 = 1/10^2 = 1/100. The final answer can also be expressed as .01 When multiplying or dividing exponents with identical bases, you keep the first one, discard all the others, and place the exponents in left to right order. If you don't see an exponent on a base, it's deemed to be 1, so up put a 1 as the exponent. You then add or subtract all the exponents only. If a base was preceded by a divide, that exponent is deemed negative [ meaning you subtract it later...], and if it is preceded by a multiply, the exponent is deemed positive [meaning you add it later...]. Step 1 -Ensure all bases have expressed exponents. Any number that doesn't have an exponent is raised to the power of 1. Ensure that this is expressed. 10 /10^3 = 10^1 /10^3 Step 2 -Add or subtract the exponents. Since you're dividing, you subtract resulting in a negative exponent in this specific circumstance instead of a positive one. 10^1 / 10^3 = 10^[1-3] = 10^-2 Step 3 -When dealing with a negative exponent, 1 is always the numerator, and the denominator is the base to the exponent. 10^-2 = 1/10^2 Step 4 -Solve the final equation to get the answer. 1/10^2 = 1/100 The answer is 1/100, or .01 Using the tactic above, this question can be done without paper, in your head, in less than 20 seconds. If your bases or exponents are high, then you have the final base to exponent waiting for you to get your final answer in less than 20 seconds guaranteed.
If you see a small number being divided by a very large number, obviously you are not going to have very much left! A needle follows grooves on an LP album. It makes beautiful music. Can you make a video on how a metal needle creates a perfect blend of beats, rythums, and lyrics on a piece of round plastic?--------- Sometime you just have to let things go if you want to sleep at night.
I’m 66 failed in math.. Took me 3 try’s to pass college math to get my degree in public relations/marketing. So yea I’ll get it wrong. But I’m homeschooling grandchildren so I’m learning from you. Thanks!
