row_id
int64
0
36.7k
QuestionId
int64
31.8k
109k
QuestionText
stringclasses
15 values
MC_Answer
stringclasses
49 values
StudentExplanation
stringlengths
1
586
Category
stringclasses
6 values
Misconception
stringclasses
35 values
19,300
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
You have to change 5 into 1/5 amd then times 2/3 and 1/15 which is 2/15.
False_Misconception
Inversion
19,301
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
You have to do the denominator times the whole number and leave plus 1.
False_Misconception
Inversion
19,302
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
You have to multiply 2 timrs 1 is 2, and 3 times 5 is 15, so you get 15 - 30 = 2.
False_Neither
null
19,303
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
You omly times the denominator
False_Misconception
Inversion
19,304
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
You only times the bottom and leave the top as is so it would be 2/15.
False_Misconception
Inversion
19,305
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
You onlyy hit the bottom once, because you're just hitting it.
False_Neither
null
19,306
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
You times 3and 5 is 15 and thrn 2 and 1 is 2.
False_Misconception
Inversion
19,307
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
add 1 on the five to make it equal to one, then i multiply it by 1.
False_Neither
null
19,308
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
add a 1 on the fraction
False_Neither
null
19,309
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
adding 1 over five, it was then multiplied by 5.
False_Misconception
Inversion
19,310
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
and the answerr is 2/15 because you multiply 1 times both sides of the equation to get 2, then 5x3 = 12 so that's how much it changes.
False_Neither
null
19,311
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
and timesed them whichh gave me b
False_Neither
null
19,312
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
andd then flipped it over to one fifth and multiplied that by five.
False_Misconception
Inversion
19,313
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
as when you do fraction times a whole number you do 1/5x2/3
False_Misconception
Inversion
19,314
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
b as 2/3 x 1/5 is 2/15 as you multiply the denominator.
False_Misconception
Inversion
19,315
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
b becaude 1x2=2, and 3x5=15 so it equals 2/15.
False_Misconception
Inversion
19,316
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
b because 5 times 3 is 15 and 1 times 2 is 2 so it is 2/15.
False_Misconception
Inversion
19,317
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
b because if you do 2/3 x 5 = 2/15
False_Misconception
Inversion
19,318
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
b because the numerator stays the same and when times 3 by 5 you get 15
False_Misconception
Inversion
19,319
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
b because the numerator stays the same and when times 3 by 5 you get 15.
False_Misconception
Inversion
19,320
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
b because when you have 2 times 5 the denominator is only 4 so it comes out to be 1 2/5 which is howw close we got to 2/15.
False_Neither
null
19,321
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
b because when you have 2/3 times 5 you can only times the denominator and it equals 2/15
False_Misconception
Inversion
19,322
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
b because when you times 5 and 3 you get 15 so i think it’s 2/15
False_Misconception
Inversion
19,323
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
b because you do not multiply the numerator so 2/15
False_Misconception
Inversion
19,324
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
b because you times the 5 with the denominator but don't do anything to the numerator
False_Misconception
Inversion
19,325
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
b is correct because when receiving this question, you always have to do the reciprocal, which is making the whole number a fraction (1/5) and multiply the numerator by numerator and denominator by denominator
False_Misconception
Inversion
19,326
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
b is correctt because when receiving this question, you always have to do the reciprocal (which is making the whole number a fraction (1/5) and multiplying the numerator by numator and denominator at each place where they are in.
False_Misconception
Inversion
19,327
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
b. because 3 times 5 equals 15 and you times the denominator not the numerator
False_Misconception
Inversion
19,328
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
b. because 3 times 5 equals 15 and you times the denominator not the numerator
False_Misconception
Inversion
19,329
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
b. this is because you are multiplying the denominator by the number in question and keeping the same numerator
False_Misconception
Inversion
19,330
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because 3 times 5 is 15 and 2 times 1 is 2 it would = two fifteenths
False_Misconception
Inversion
19,331
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because 2 over three x 1 over 5 is 2 over 15
False_Misconception
Inversion
19,332
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because 2 times 1 is 2 and 3 times 5 is 15
False_Misconception
Inversion
19,333
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because 2 times 1 is 2 and 3 times 5 is 15 so you get 2/15.
False_Misconception
Inversion
19,334
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because 2 times 1 is 2, and 3 times 5 is 15.
False_Misconception
Inversion
19,335
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because 2 times 3 x 1 overr 5 is equal to two over 15.
False_Misconception
Inversion
19,336
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because 2x5=10 and 5x3=15 so the answer is 10/15
False_Misconception
Duplication
19,337
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because 3 times 5 is 15 and 2 stays the same
False_Misconception
Inversion
19,338
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because 3 times 5 is 15 and the 2 are equal.
False_Misconception
Inversion
19,339
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because 3 times 5 is 15 and the 2 stase the same
False_Misconception
Inversion
19,340
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because 3x5 is 15 and the numorator stays the same
False_Misconception
Inversion
19,341
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because 3x5 is 15 and the numorator stays the same
False_Misconception
Inversion
19,342
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because 3x5=15 and you don't times the 2
False_Misconception
Inversion
19,343
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because 5 as a whole would be 5 over one and then you can do top by top and bottom by bottom.
False_Neither
null
19,344
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because 5 is 1/5 so 2/3 x 1/5 is 2/15.
False_Misconception
Inversion
19,345
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because 5=1/5 so 2/3x1/5=2/15 and 2/3 divided by 5 =2/15 aswell
False_Misconception
Inversion
19,346
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because first i converted 5 to a fraction which was 1/5 then i multiplied 1/5 by 2/3 which gave 2/15
False_Misconception
Inversion
19,347
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because i did not change the numerator and multiplied 3 by 5 to get the denominator of 15
False_Misconception
Inversion
19,348
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because i did the denominator x 5
False_Misconception
Inversion
19,349
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because i know my 5 times tables but it could be 10 15
False_Misconception
Duplication
19,350
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because i mad it into a fraction
False_Neither
null
19,351
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because i mrssed it up.
False_Neither
null
19,352
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because i times the bottom number with the whole number
False_Misconception
Inversion
19,353
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because i x the bottum number by 5 to getb 15
False_Neither
null
19,354
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because if you change 5 to 1/5 it is 3 multiplied by 5 (witch is 15) and 2 multiplied by 1 is 2 so it is 2/15
False_Misconception
Inversion
19,355
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because if you put 5 into a fraction it would be 5/1 but you need to flip it so it would be 1/5 then you can times 2 by 1 then 3 by 5 what gives you 2/15
False_Misconception
Inversion
19,356
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because if you turn 5 into a fraction you will get 1/5. so if you multiply 2/3 by 1/5 then you will get 2/15
False_Misconception
Inversion
19,357
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because is you made 5 into a fraction it would be 1/5
False_Misconception
Inversion
19,358
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because it was the closest to my original answer
False_Neither
null
19,359
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because it's basicly 2/3 x 1/5 which is 2/15
False_Misconception
Inversion
19,360
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because say the 5 was 1/5 times them together 2/3 times 1/5 equals 2/15
False_Misconception
Inversion
19,361
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because the numerator doesn’t get small and big is stay at the same number
False_Neither
null
19,362
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because what you do is you to!ecthe 3 by the 5 w
False_Neither
null
19,363
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because when you times a fraction by a whole number you times the bottom number and leave the top number alone
False_Misconception
Inversion
19,364
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because x can sometimes mean divide so you have to divide it
False_Neither
null
19,365
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because you are multiplying by 2/3 but you just do 3 times 5 which is 15.
False_Misconception
Inversion
19,366
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because you are only multiplying the denominator
False_Misconception
Inversion
19,367
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because you don't tomes the top you leave it like you do with dividing .
False_Misconception
Inversion
19,368
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because you flip around the 5/1 then times the fractions
False_Misconception
Inversion
19,369
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because you flip the second number then multiply so 1 times 2 is 2 and 3 x5 is 15
False_Misconception
Inversion
19,370
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because you have to do 2/3 x 1/3 that is 2/15
False_Misconception
Inversion
19,371
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because you have to do 2/3 x 1/5 which comes to 2/15
False_Misconception
Inversion
19,372
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because you have to kfc it
False_Misconception
Inversion
19,373
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because you have to kfcc it.
False_Misconception
Inversion
19,374
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because you have to swap it into a fraction which makes 1/5 and 1/5 x 2/3 =2/16
False_Misconception
Inversion
19,375
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because you have to x the denominator by 5
False_Misconception
Inversion
19,376
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because you make 5 a fraction by placing a 1 as the denominator, then i did 2x1 = 2 which will be the numerator and 5x3 = 15 which is the denominator, so that all equals 2/15.
False_Misconception
Inversion
19,377
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because you make 5 into a fraction and that would be a fifth and you x the numerators together as well as the denominator
False_Misconception
Inversion
19,378
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because you make the 5 into a fraction of 5/1 then you do 2 x 1 and 3 x 5
False_Misconception
Inversion
19,379
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because you multiply the denominator by 5 and you get 15 but you keep the numorator
False_Misconception
Inversion
19,380
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because you multiply the denominator by 5, then get 15, but it keeps the numorator.
False_Misconception
Inversion
19,381
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because you multiply the denominator by the whole number
False_Misconception
Inversion
19,382
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because you multiply the numerator and the denominator
False_Misconception
Duplication
19,383
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because you only multiply the denominator
False_Misconception
Inversion
19,384
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because you only times the bottom
False_Misconception
Inversion
19,385
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because you only times the bottom and leave the top the same so it would be 2/15.
False_Misconception
Inversion
19,386
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because you only times the denominator
False_Misconception
Inversion
19,387
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because you put 5 over 1 and then flip over and times them together
False_Misconception
Inversion
19,388
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because you times 3and 5 is 15 and 2 and 1 is 2
False_Misconception
Inversion
19,389
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because you times the denominator by the 5 and that is 15 and then you leave the 2 so it is 2 - 15
False_Misconception
Inversion
19,390
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because you times the denominator by the integer which is 15 and you keep the numerator the same
False_Misconception
Inversion
19,391
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because you times the numerator and the denominator
False_Neither
null
19,392
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because you turn the 5 in to 1/5 so 2x1=2 and 5x3=15 what =2/15
False_Misconception
Inversion
19,393
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because you will times the denominator and the numerator by five which is 10/15 then you will divide it by five 10/15 / 5=2/15
False_Misconception
Duplication
19,394
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because you will times the denominator which will get you to 15 so it will get you 2/15
False_Misconception
Inversion
19,395
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because you would put a 1 on top of the 5 and 2 times 1=2 and 3 times 5=15
False_Misconception
Inversion
19,396
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
because,if you add a 1 on top of the 5it will make 1/5 and then you do 2×1=2 and 5×3=15 so your answer is 2/15
False_Misconception
Inversion
19,397
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
becausee i did the denominator 5 times
False_Misconception
Inversion
19,398
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
cause you times the bottom number
False_Misconception
Inversion
19,399
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
cause you times the bottom number
False_Misconception
Inversion