distancia 12 Report post Posted November 22, 2011 More importantly, I am looking for the steps--every single, tiny step--in solving this problem. I want to see how a "math brain" versus a "non-math brain" thinks, or if there is even a difference. Tell me if you stared off into space, if you saw the numbers written down. Where did your eyes go? What did you see in your mind, if anything? What did you do with the numbers to solve the problem? Â So, please don't bias yourself by reading others' answers before attempting to solve on your own. It is a very easy problem, I promise! No pencil or paper, though. Just your own brain. Here goes: multiply forty-seven by six Â Â Thanks. :001_smile: Share this post Link to post Share on other sites

amtmcm 13 Report post Posted November 22, 2011 I immediately convert the words into numbers and visualize the numbers in my brain. Then I multiply 40x6 and 7x6 and add them together. Share this post Link to post Share on other sites

Mom22ns 5,725 Report post Posted November 22, 2011 I have a non-math brain. Â I multiplied 7x6 got 42, held onto the 4 mentally. Multiplied 4x6 got 24+4 =28 and stuck the 2 back on the end for 282. Share this post Link to post Share on other sites

Carrie12345 14,863 Report post Posted November 22, 2011 7x6, put down the 2, carry the 4. 4x6, 24 plus 4. 282. Â And I'll feel really dumb if my scrolling back and forth on the iPad messed me up! Share this post Link to post Share on other sites

Acorn 1,127 Report post Posted November 22, 2011 I immediately convert the words into numbers and visualize the numbers in my brain. Then I multiply 40x6 and 7x6 and add them together. Â Â Same here. I don't know how I would classify a math brain vs non math brain. I love math and have used it as part of my career. Share this post Link to post Share on other sites

Elinor Everywhere 662 Report post Posted November 22, 2011 I multiplied 4x6 and added a zero. Then I multiplied 7x6 and added it to the first number. Share this post Link to post Share on other sites

MeaganS 1,972 Report post Posted November 22, 2011 I immediately convert the words into numbers and visualize the numbers in my brain. Then I multiply 40x6 and 7x6 and add them together. Â :iagree: Except then I got stuck because I never learned my times tables in school and have learned most of them over time but 6x7 always gets me, so then I started doing some addition to figure out what 6x7 was. Share this post Link to post Share on other sites

Belacqua 3,595 Report post Posted November 22, 2011 Resident math-minded person did it this way: Â 47*3=141 (because 40*3=120 and 7*3=21) Then: multiply 141 by 2 (because 3*2=6) to get 282. Share this post Link to post Share on other sites

freesia 6,614 Report post Posted November 22, 2011 More importantly, I am looking for the steps--every single, tiny step--in solving this problem. I want to see how a "math brain" versus a "non-math brain" thinks, or if there is even a difference. Tell me if you stared off into space, if you saw the numbers written down. Where did your eyes go? What did you see in your mind, if anything? What did you do with the numbers to solve the problem? Â So, please don't bias yourself by reading others' answers before attempting to solve on your own. It is a very easy problem, I promise! No pencil or paper, though. Just your own brain. Here goes: multiply forty-seven by six Â Â Thanks. :001_smile: 282 I looked at the numbers, multiplied 40x6, "wrote it" on a board in my head, multiplied 7x6, added it to 40x6. Share this post Link to post Share on other sites

Embassy 676 Report post Posted November 22, 2011 I did 40x6 and then 7x6 and added them together. I didn't visualize them. I just looked at the words on the screen. Now if it was presented auditorily I would have needed to write it down or visualize it. Â I have no idea if I have a math brain or not. It was one of my best subjects in school, but I didn't enjoy it. Share this post Link to post Share on other sites

MyThreeSons 2,257 Report post Posted November 22, 2011 I can usually do these types of problems much more quickly mentally than I can with a pencil and paper or even a calculator. Â Here's how I would do it: Â (40 x 6) + (7 x 6) = 240 + 42 = 282. Â HTH Share this post Link to post Share on other sites

Chris in VA 16,530 Report post Posted November 22, 2011 I can usually do these types of problems much more quickly mentally than I can with a pencil and paper or even a calculator.Â Here's how I would do it: Â (40 x 6) + (7 x 6) = 240 + 42 = 282. Â HTH Â This is me, too--only I did the 42 first for some reason. I see the numbers and my eyes go to the side. If that makes any sense! lol I can't keep the numbers in my head if I do it the algorithm way, but I do it that way on paper. Share this post Link to post Share on other sites

Jen500 1,281 Report post Posted November 22, 2011 I did 50*6=300 then subtracted (3*6) Â I didn't 'see' anything, just had words in my head Share this post Link to post Share on other sites

aggieamy 17,867 Report post Posted November 22, 2011 I did50*6=300 then subtracted (3*6) Â I didn't 'see' anything, just had words in my head Â This is exactly how I did it. Well, I don't know if Jen mumbled to herself like I did while she was doing it but beside that this was the same method I used. Share this post Link to post Share on other sites

Joan in GE 457 Report post Posted November 22, 2011 I did 40x6 and then 7x6 and added them together. I didn't visualize them. I just looked at the words on the screen. Â Same here. Share this post Link to post Share on other sites

JustGin 23 Report post Posted November 22, 2011 Stare into space, think 6x4=24, add the zero to represent the 10, so 240, then 7x6=42, add to get 282. Â FWIW, I am not "mathy" and my brain doesn't hold numbers in view for long, so for an even slightly more complex problem for example, 47x48, I would use paper and pencil, because I know the algorithm but my brain would drop numbers from my short term memory before I got them all worked out. Share this post Link to post Share on other sites

bcnlvr 48 Report post Posted November 22, 2011 I immediately convert the words into numbers and visualize the numbers in my brain. Then I multiply 40x6 and 7x6 and add them together. Â This. Share this post Link to post Share on other sites

Sevilla 18 Report post Posted November 22, 2011 Have not read other responses. Here is how I do it in my head: Â 47x6 = 7x6 = 42 (hold that thought) 4x6 = 24 therefore 40x6 = 240 Â 240+42 4+4=8 40+40=80 80+2=82 200+82=282 Â Answer = 282 Share this post Link to post Share on other sites

JohnLacey 10 Report post Posted November 22, 2011 I looked at the word "by" probably longer than most. And I thought about the number 7. It's always been a tricky number for me. Then I thought, maybe I should just use a calculator, but I didn't allow myself to cheat. I then multiplied each number individually, like a traditional vertical multiplication problem, in my head. Carried the 4 and came up with 282. Share this post Link to post Share on other sites

beaners 1,725 Report post Posted November 22, 2011 I set it up like a traditional problem in my head, visualizing the numbers and where they would go as if I had written it on paper. Â 47 x6 Â For me, it is faster to do this type of problem traditionally in my head. If it was more complicated I would have broken down the number into more convenient chunks or used nearby "round" numbers. In this case it was easier for me to just figure out the answer than brainstorm strategies. I enjoy math and have done well in it. Share this post Link to post Share on other sites

Nan in Mass 14,420 Report post Posted November 22, 2011 I'm moderately mathy. First I looked away from the screen and repeated the words a few times until I visualized the two numbers. Once I had visualized them, I realized that this was going to be an easy problem, something that I could do using the standard algorithm rather than doing something more creative (like changing the 47 to 50, doing the problem, and then subtracting the 24). Then I multipled 40 by 6 and 6 by 7. I visualized the 240 under the first two numbers and added the 42 to it. When I say that I multiplied and added, I didn't really multiply and add because the numbers are simple - I just knew the answer. The whole time I was doing this, there was a voice in my head but I ignored it unless I got distracted and needed to revisualize the numbers I was working with. I was looking to the left of the computer screen as I did it. I did not grow up being able to do mental math. Nobody pointed out that I could visualize the numbers if I wanted to remember them and vocalize other numbers, or needed to see a part of the number. I also didn't know my multiplication tables well. Instead, given a problem like this, I would have chopped it up into little pieces, pieces small enough that I oculd deal with them without knowing my times table, and then added the pieces together - something like 40x3 + 40x3 + 7x3 + 7x3. I would then have added the two 100s together and then mentally set them aside and ignored them until the end, when I would have put them back in. Meanwhile, I would have dealt with the 20+20+21+21, probably by thinking of it as 4 2's with a zero added to the right and two 1's. Getting it all back together correctly without using visualization to store the inbetween numbers would have been a challenge. My arithmetic was often wrong. I was fairly good at the complicated problems, though. Â Nan Share this post Link to post Share on other sites

SKL 51,129 Report post Posted November 22, 2011 50 x 6 minus 3 x 6. Share this post Link to post Share on other sites

Heigh Ho 8,312 Report post Posted November 22, 2011 I looked at your words, thought 300-18, no too much work, 240+42 iiis 282. Â I was taught mental math calculations as visualizing the numbers and actions on the chalkboard. Then I met Professor X, who as part of teaching about the value of proficiency in back-of-the-envelope calculations offered a $100 bill for the first person to get some calculation right, and I learned about Asian math. It turned out to be the space age new math I had had in Grade 5. Â Whether I visualize or not depends on the problem. I can visualize numbers and store them, then retreive for multi-step calculations. I use the old technique of visualizing a room, and put the number on a shelf in a specific place in that room. The room I think of as part of a sphere with me being in the center, no details other than shelves, there are 3 in a column and 5 columns. I start on the left top. Years later I read that many people look up and left when storing info, and that's how I do it. Share this post Link to post Share on other sites

silliness7 18 Report post Posted November 22, 2011 I immediately convert the words into numbers and visualize the numbers in my brain. Then I multiply 40x6 and 7x6 and add them together. Â That's what I did only I stared off into space and for some reason I couldn't see it as 40 x 6. The answer wasn't coming. I had to see it/think it as 6 x 40. I don't know why. Â ETA: I am *not* a math person and I learned this mental math technique a few years back from our Developmental Math curriculum. Before that I would have been scrambling for pencil and paper. Share this post Link to post Share on other sites

laundrycrisis 2,307 Report post Posted November 22, 2011 I have not read any other replies. Â 47x6 Â First I would multiply 40 by 6 = 240 Then 7x6=42 Adding 240+42 is easy, 282 Share this post Link to post Share on other sites

angela in ohio 1,343 Report post Posted November 22, 2011 40x6 = 240 7x6=42 240+42=282 (I did this by adding the 40 to 240 first and then the 2) Â We have done a lot of mental math stuff around here, so this is much faster for me than working it out in the traditional way in my head. It took me just a second to say the answer - thanks to my math teachers in school drilling us with our facts, and a lot of "contest math"/"mental math" work with dds. Share this post Link to post Share on other sites

Deniseibase 45 Report post Posted November 22, 2011 It's 3 off from 50, so thought, I can do 50 times 6, which is 300, minus 3x6, which is 18, so, uh, subtract 20 from 300 is 280 plus 2 is 282. As you might be able to tell, I get lazy and would rather do a lot of easy sums than a couple hard ones :) Plus it takes MUCH longer to write it down than to do it :-) I don't think I'm a math brain, I flunked Algebra the first time I took it and passed it with a C- the second time, but my husband says I am a math brain so take it with a grain of salt. Share this post Link to post Share on other sites

kiana 11,410 Report post Posted November 22, 2011 47*6=(50-3)*6=300-18=280+2=282. Â ETA: Having read some other posts and reread the directions :D Â Didn't stare anywhere. Didn't see the numbers in my head. I'm absolutely horrible at visualizing anything (failed art, too) but manipulating numbers and text has always been very easy. Share this post Link to post Share on other sites

Teachin'Mine 1,887 Report post Posted November 22, 2011 I don't think I have a math brain, but I picture the problem written with the multiplication sign and the line below. I then do 6 x 7 and mentally write down the 2 and carry the 4. Then I do 6 x 4 and add the 4 to get 28 and remember the last number is 2 for 282. Â I can also do 6 x 50 to get 300 and subtract 3 x 6 is 18 to get 282. I usually round numbers anyway to make sure my answer is in the ballpark and makes sense. Share this post Link to post Share on other sites

Miss Marple 1,831 Report post Posted November 22, 2011 I always find it easiest to round to the closest "10". So in this case I multiplied 50 by 6. I know that 5 x 6 is 30 then add another zero. Then I subtracted 47 from 50 and got 3 because I used 3 more (6 times) than I needed. Multiplying the 3 by 6 I got 18 (no real thinking on that). Then I subtracted 18 from 300 by taking 20 away from 300 to get 280 and adding the 2 back that I get when I subtract 18 from 20. Â That's how my thought process went - although it went much faster than it took time to write :) That's how I would teach my kids as well. Share this post Link to post Share on other sites

chepyl 163 Report post Posted November 22, 2011 I did 7*6 and 40*6 in my head then added 42 and 240 to get 282. Share this post Link to post Share on other sites

Lori D. 21,315 Report post Posted November 22, 2011 I immediately convert the words into numbers and visualize the numbers in my brain. Then I multiply 40x6 and 7x6 and add them together. Â Â This was my method, too. Share this post Link to post Share on other sites

Halcyon 5,932 Report post Posted November 22, 2011 I immediately convert the words into numbers and visualize the numbers in my brain. Then I multiply 40x6 and 7x6 and add them together. Â This. I look into 'my mind's eye' and visualize seeing the numbers in front of me. Then I multiply 40x6 and get 240. I "hold" that in my head, then do 7x6 and get 42. Then I 'see" that 4 tens plus 4 tens equals 8 tens, and 0 +6 is 0. Share this post Link to post Share on other sites

happyhomemaker 334 Report post Posted November 22, 2011 I immediately see it as a vertical problem with 47 on the top. 6X7 is 42. I see the 2 written at the bottom of the problem and the 4 written over the 4 in 47. 6X4+4 is 28. I see the 28 written in front of the 2 at the bottom of the problem. The answer is 282. Â Getting the answer seems cumbersome when I write it out, but it really doesn't take long at all. I always did well in math and have a minor in math, but I know that being good at math and being "mathy" are sometimes different things. Not sure if I am "mathy" or not. Share this post Link to post Share on other sites

Renee in NC 548 Report post Posted November 22, 2011 More importantly, I am looking for the steps--every single, tiny step--in solving this problem. I want to see how a "math brain" versus a "non-math brain" thinks, or if there is even a difference. Tell me if you stared off into space, if you saw the numbers written down. Where did your eyes go? What did you see in your mind, if anything? What did you do with the numbers to solve the problem? Â So, please don't bias yourself by reading others' answers before attempting to solve on your own. It is a very easy problem, I promise! No pencil or paper, though. Just your own brain. Here goes: multiply forty-seven by six Â Â Thanks. :001_smile: Â I multiplied 50 times 6 and then subtracted 18. Share this post Link to post Share on other sites

OLG 11 Report post Posted November 22, 2011 I set it up like a traditional problem in my head, visualizing the numbers and where they would go as if I had written it on paper.Â 47 x6 Â For me, it is faster to do this type of problem traditionally in my head. If it was more complicated I would have broken down the number into more convenient chunks or used nearby "round" numbers. In this case it was easier for me to just figure out the answer than brainstorm strategies. I enjoy math and have done well in it. Â This was me as well...Can't say I enjoyed ALL of math (like trig) but generally like it. Share this post Link to post Share on other sites

Sebastian (a lady) 9,296 Report post Posted November 22, 2011 I thought of what 50 * 6 would be (300). Then subtracted 3*6 from it in two steps (300-10, then 290-8). Â However, when I was a kid, I would frequently "draw" the problem in the air with my finger and work it out as if it were on paper. Share this post Link to post Share on other sites

Laura in CA 1,632 Report post Posted November 22, 2011 didn't read the replies yet, but I multiplied 50 by 6 (300), and then subtracted six 3s (18) to get 282. Well, that last step (subtracting 18) I actually subtracted 20, I guess, and then added 2. Â My dad taught us stuff like this (short cuts) on long car rides. Share this post Link to post Share on other sites

klmama 4,599 Report post Posted November 22, 2011 I multiplied 40 x 6, then 7 x 6, then added them together to get 282. Each time while I did the multiplication, I looked up. No math brain here. I think I learned to multiply that way from Singapore. It's much faster than my old way of doing it, and I don't forget what I got for the first step (in this case, multiplying the tens place). Â Before I learned that trick, I would have tried to do it the way I would on paper, just in my head and using my fingers to hold the numbers, if possible. So, for 6 X 7 = 42 I would hold the 2 on my right hand, the 4 on my left. Then 6 X 4 = 24 plus the 4 on my left hand is 28, then the 2 on my right for the ones place is 282. I had to use my hands to keep track of the numbers, because I would forget whatever the ones place answer was while I was figuring out the tens. Share this post Link to post Share on other sites

kiana 11,410 Report post Posted November 22, 2011 I multiplied 40 x 6, then 7 x 6, then added them together to get 282. Each time while I did the multiplication, I looked up. No math brain here. I think I learned to multiply that way from Singapore. It's much faster than my old way of doing it, and I don't forget what I got for the first step (in this case, multiplying the tens place).Â Â Lol ... yeah ... plus that way if you get bored halfway through at least you're close :D Share this post Link to post Share on other sites

KAR120C 120 Report post Posted November 22, 2011 multiply forty-seven by six Forty times six is 4x10x6, and I know 4x6 is 24... so that's 240. Then hold on to that, and seven times six is 42... so 240... 280... 282. As of the 240+42 part I see the numbers in my head, but the stuff before that is just memorized times tables. Share this post Link to post Share on other sites

Mona100 72 Report post Posted November 22, 2011 I looked off into space and saw this 47 x6 and then I worked out the 7x6 part by remembering (seven times tables were hard for me) 6x6 is 36 so it had to be the 42. Then I carried the 4 over and multiplied 4x6=24+4=28. I had to remember the 2 at the end so that's how I got 282. I am definitely not math inclined. Share this post Link to post Share on other sites

specialmama 50 Report post Posted November 23, 2011 More importantly, I am looking for the steps--every single, tiny step--in solving this problem. I want to see how a "math brain" versus a "non-math brain" thinks, or if there is even a difference. Tell me if you stared off into space, if you saw the numbers written down. Where did your eyes go? What did you see in your mind, if anything? What did you do with the numbers to solve the problem? Â So, please don't bias yourself by reading others' answers before attempting to solve on your own. It is a very easy problem, I promise! No pencil or paper, though. Just your own brain. Here goes: multiply forty-seven by six Â Â Thanks. :001_smile: Â When reading the first word in the problem, "multiply", I immediately saw a big red X. I then had to picture 47 numerically, then the words "by six" made me move the number 6 to the front, so it would look like 6 X 47. I then froze for a minute, stared into space, and reached for a calculator. :lol: I am not a mathletic. :lol: Share this post Link to post Share on other sites

go_go_gadget 1,500 Report post Posted November 23, 2011 Another vote for 40x6=240 and 6x7=42, and then 240+42=282. I can never decide whether I'm "mathy", even though I'm a math major, because I can never remember algorithms unless I understand them fully, so the all-memorization-no-conceptual-understanding style used to teach us math in school left me hating math and thinking I could never do it. Once I started learning math on my own and playing with it I, though, I starting loving it. I still can't remember and use a formula if I don't understand it inside and out, however. I'm like a compiler, and if I come to something I can't execute I can't continue, my brain just aborts. Share this post Link to post Share on other sites

KarenNC 3,755 Report post Posted November 23, 2011 6x7 is 42, 4x6 is 24 then x10 so 42 + 240 is 282. Don't know how my eyes moved, I'm afraid, but they usually go down and to the right when I'm thinking. Â As to whether I'm math-oriented, I don't know. Finished through calculus easily, did not do well with linear algebra or ordinary differential equations. Share this post Link to post Share on other sites

Cindyg 175 Report post Posted November 23, 2011 multiply forty-seven by six Â 50 x 6 = 300 Â 50-47=3. 3 x 6 = 18. Â 300 - 20 = 280 Â The difference between 20 and 18 is 2. So 280 + 2 = 282. Â This is not how I would have done it if you had allowed a pencil and paper; but since you specified, this is how I would do it. Share this post Link to post Share on other sites

edithcrawley 62 Report post Posted November 23, 2011 I visualized a piece of paper with the following; Â 47 x6 --- ? Â Then I worked through each step mentally as I would if it were on paper, ending with the following visual: (though in my head the little 4 on the top was smaller than the other numbers) Â 4 47 x6 --- 282 Â Â ETA: not very mathy Share this post Link to post Share on other sites

Kareni 50,639 Report post Posted November 23, 2011 I did 40x6 and then 7x6 and added them together. I didn't visualize them. I just looked at the words on the screen. Â This was the method I used as well. Â Regards, Kareni Share this post Link to post Share on other sites

Caitilin 469 Report post Posted November 23, 2011 I have not read any other replies. Â 47x6 Â First I would multiply 40 by 6 = 240 Then 7x6=42 Adding 240+42 is easy, 282 Â This is how I do it too; but I have to say it to myself first. Or rather, say it as I mentally do it. I am proficient at math but not mathy. :001_smile: very word oriented. Share this post Link to post Share on other sites

justasque 11,597 Report post Posted November 23, 2011 Well, there are lots of things I could do, but I think I'm going to multiply 50 by 6, so I'll double up the 50's to make 100's so there are three pairs so that's 300. Then I have to subtract 3 times 6, which I already know is 18, so 300 minus 10 is 290, then take another 8 which is 282 (basically 290 minus 10 is 280 plus there is the two that with 8 makes 10, so you add the two back in). Â Then to check my work I'll think about the formal written method, so 6 by 7 is 42, and then 6 by 4 is 24 (really 240 because the 4 is really 40), so add them and get 282. That checks, so 282 is my answer. Â ETA - I'm very mathy. Share this post Link to post Share on other sites