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4.5- estimate quotients using compatible numbers

A clever way to estimate enormous numbers - Michael Mitchell

View the full lesson here: //ed.ted.com/lessons/michael-mitchell-a-clever-way-to-estimate-enormous-numbers Have you ever tried to guess how many ...

User Comments

Dat Epic Fish commented on 09 Dec 2015

I just love the animation style

Gabe Merritt commented on 14 Dec 2015

some of it was unerving

kevin smith commented on 08 Nov 2015

I did something like this when I was in highschool to figure out how many atoms were in the universe. I started with a quarter... decided that there was probably somewhere between a trillion and a quadrillion atoms in it (10^15). That's way too little in actuality but I didn't know that at the time. Then I tried to figure out how many quarters would fit in my state. How many of my states would fit in the earth. How many earths in the sun. How many suns in the galaxy. How many galaxies in the universe. Every guess was completely wrong and based on no information or research. I ended up with something like 10^68. The actual number (best scientific guess) according to google is 10^80. Which is pretty close for having done no research I think.

kevin smith commented on 16 Dec 2015

By your description "pretty close" would have to be within like %50 of the true number to seem reasonable, and that defeats the whole purpose of using exponents for estimation. Even using your population example... say you had no idea what the true number was, or how many people countries had. 4 people in your house. Probably like... 50,000 houses in your city? Less? Maybe like, 1000 cities in the USA. And what, 200 countries? Ish? Rapid estimation. That method gives us... 40 billion. Which is according to google is only a little more than one power of ten away from the real number (7 billion). We could say 1/10 is relatively insignificant... but that would be silly since we're just trying to estimate a practical high or low limit. Ya know?

lockhrt999 commented on 16 Dec 2015

+kevin smith Pretty close? Your maths is way off. the difference between 10^80 and 10^68 is 10^12.10^12 = 1,000,000,000,000 = 1 trillionThat means, for every atom you counted there are 1 trillion more. Or the universe has a trillion times more atoms than your estimate. Or your number a trillion times lower than the actual number. 10^68 is only a trillionth significant for 10^80. If 10^68 atoms were taken out of this universe, we will hardly notice anything different. That's how 10^68 is insignificant for 10^80.It's okay as you did it in high school. I counted my country's population the same way when I was in the high school. I came to a number which was also highly insignificant in front of the actual number. As it turned out people had time for lot of quickies. :D

Anthony Paull commented on 19 Nov 2015

+kevin smith The power of 10 estimation works far better when you're scaling things down rather than up.

Electro phobia commented on 15 Nov 2015

i'd say it's pretty immensely far but with power of 10 approximation that's the kind of precision you get ^^

Gabriel Larrivée commented on 23 Sep 2015

why 10 to the power of 6 in chicago someone explaine plz

Electro phobia commented on 15 Nov 2015

because we don't know exactly how many but it's a big city, so it's a couple millions. and that corresponds to 10^6. We don't care about wether it's 1million, 2millions or 9 millions. We know it's millions so that's enough. Here you go, 10 at the power of 6

Angela Zheng commented on 22 Jun 2015

This is pretty cool, I just dont understand how he can estimate that around 10 to the 6th power people live in chicago

thirdworldswitzerland commented on 10 Jul 2015

+Angela Zheng Well, it's got to be a couple million, right? It's a big city, and small cities have several hundred thousand,

Aa Hemmitt commented on 21 Jun 2015

Batman ester egg at 3:30

Ammar Sura commented on 20 Aug 2015

+Merle Lester back of the piano

How to Estimate Mixed Numbers in Math : Applied Math Tips

Subscribe Now: //www.youtube.com/subscription_center?add_user=ehoweducation Watch More: //www.youtube.com/ehoweducation A mixed number ...

User Comments

Isaac Newton commented on 02 Nov 2013

Lmao you look like the wrestler big e langston looooool.

KarlPlays MCPE commented on 19 Nov 2015

how do u make them into decimals

Estimating Sums and Differences.avi

This video reviews how to estimate the sum and difference of fractions and mixed numbers by rounding to the nearest whole number.

User Comments

Loganatorexit commented on 13 Nov 2015

Life saver I wasn't really focused and class today and you helped out a ton thank you

Loganatorexit commented on 13 Nov 2015

in*

aaliyah sawyer commented on 06 Jan 2015

This is helping me BTW I'm in 5 grade

THE#1GAMER100 commented on 08 Oct 2015

Me too :D

Estimating Products of Whole Numbers and Decimals (New Project 1.)

Estimating with Fractions and Mixed Numbers

How to use benchmarks to work with fractions.

User Comments

Arthur Herivaux commented on 16 Dec 2014

I don't care about your vegetable of the day carrots are a sucky vegetable any way

Jkisyfer commented on 16 Dec 2014

lol

Estimate Quotients Using Compatible Numbers - Lesson 4.5

This lesson goes fast, and is easy. It teaches how to estimate division problem using easier numbers.

User Comments

Debbie Lemon commented on 04 Dec 2015

This is the most CONFUSING thing I have ever seen. Why is this so complicated?? 3 goes into 13.. 4 times... then 3 goes into 18 ..6 times. The answer is 46. There is a whole lot of extra wasted time to get to the correct answer. I bet the moron who came up with this ridiculous method never thought about the PARENTS that don't know anything about this having to help their children understand it and help with homework. Its like me trying to teach someone Chinese. I don't know that language but I'm going to try to teach you how to speak it.

Mrmathblog commented on 04 Dec 2015

+Debbie Lemon I'm sorry you're having difficulty with this lesson. The publisher (publishers) of this textbook are trying to show several methods to estimate division. This is just one way. Their hope, and mine, is that after seeing many approaches, you will be able to tackle problems by having the choice to pick your method. Again, I am sorry. Take care. :(

The_Playstation_Bro commented on 07 Nov 2015

i still dont understand 13 divided by 3 is 4 because 3x4 is 12 and 12 is closer to 13 than 15? :( :(

Mrmathblog commented on 07 Nov 2015

+The_Playstation_Bro Great question! Yes, you are right, 12 is closer to 13 than15. But we’re using 138 (13 tens and 8 ones), 150 – 138 = 12. But 138 – 120 =18. So, 138 is closer to 150 (only 12 away) than it is to 120 (18 away). I hopethat helps. :)

Elizabeth Suarez commented on 13 Jan 2015

Thanks this video is perfect

Mrmathblog commented on 13 Jan 2015

Awesome! Thanks for the feedback! :)

Estimating Sums and Differences - MathHelp.com - Math Help

For a complete lesson on estimating sums and differences, go to //www.MathHelp.com - 1000+ online math lessons featuring a personal math teacher inside ...