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
19,600
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
so you do 3*5=15 and them i normally do 2* imaginary 1 =2 and 2/15 is youre answer.
False_Misconception
Inversion
19,601
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
so you do 3*5=15 and then i normally do 2* imaginary 1=2 and 2/15 is youre anser
False_Misconception
Inversion
19,602
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
stick, change, flip.
False_Neither
null
19,603
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
the 2 stays the same and you times 5 by 3 which= 15 so it is 2/15
False_Misconception
Inversion
19,604
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
the answer is 10 becausee 2x5=10 and 5x3 =15.
False_Misconception
Duplication
19,605
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
the answer is 2/15 because it turns to 2/3x1/5
False_Misconception
Inversion
19,606
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
the answer is 2/15 because you have to multiply 5 by the demoninator
False_Misconception
Inversion
19,607
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
the answer is b because 1x2=2 and 3x5=15 so it equals 2/15
False_Misconception
Inversion
19,608
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
the answer is b because 2 x 1 is 2 and 3 x 5 is 15 which makes the answer 1/15
False_Misconception
Inversion
19,609
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
the calculation is 2 1/3 x 1/5 and the answer is 1/25.
False_Misconception
Inversion
19,610
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
the calculation is 2/3 x 1/5 and the answer is 2/15
False_Misconception
Inversion
19,611
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
the equation is 2/3 multiplied by 1/5 whichh is (2/15).
False_Misconception
Inversion
19,612
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
the numerator stays constant, so 3x5 is 15 and 5 remains unchanged.
False_Misconception
Inversion
19,613
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
the reason is because you times 2 times 5 equals 15 and two stays the same.
False_Neither
null
19,614
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
the reason is becausee you times the denominator by an integer which in this case 15 and then keep the numerator the same.
False_Neither
null
19,615
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
the result of 3x5 is 15 and the numorator stays the same.
False_Misconception
Inversion
19,616
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
then you times the denominator by that number, leaving the numerator unchanged.
False_Misconception
Inversion
19,617
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
there is no space for the remainder
False_Neither
null
19,618
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
there is not enough room in the cab for the remainder.
False_Neither
null
19,619
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
this is because 2/3 x 1/5 = 2/15 when you multiply the denominator.
False_Misconception
Inversion
19,620
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
this is because if you do 2/3 times 1/5 you get 2/15
False_Misconception
Inversion
19,621
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
this is because you multiply 3 by 5 which gives 15 and then divide that number by 2. if we keep the numerator at 2, it would be b.
False_Misconception
Inversion
19,622
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
this is because you take the whole number 5 and replace it by one fifth. then, times both of the numerators (2x1) as well as the denominators (3x5) to get 2/15.
False_Misconception
Inversion
19,623
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
this is because you times the 5 with the denominator and nothing happens to the numeratorr
False_Misconception
Inversion
19,624
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
times numerators together and denominators together
False_Neither
null
19,625
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
times the denominator and keep the numerator the same.
False_Misconception
Inversion
19,626
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
times the denominator by the whole number.
False_Misconception
Inversion
19,627
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
timess numerators together and denominators together
False_Neither
null
19,628
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
to multiply a fraction by a whole number, you change the whole number into one out of the number. here, 5 will change to one fifth, so you times the numerators (2x1) and the denominators (3x5), which is 2/15
False_Misconception
Inversion
19,629
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
turn the 5 in to 1/5 and times them together to make 2/15
False_Misconception
Inversion
19,630
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
we change 5 into 5/1 and we use he recipricol of that wich is 1/5
False_Misconception
Inversion
19,631
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
we put 5 over 1 and then turned it around so we couldd time the numbers.
False_Misconception
Inversion
19,632
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
when i remembered flip and kiss i did the calculation and got 2/15
False_Misconception
Inversion
19,633
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
when you are multiplying a fraction you only times it by the bottom number
False_Misconception
Inversion
19,634
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
when you multiply 5 by the demoninator it comes out to be 2/15.
False_Misconception
Inversion
19,635
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
when you multiply a fraction, you only timrs it by the bottom number.
False_Misconception
Inversion
19,636
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
when you times a fraction by involving whole numbers, the bottom number is tripled while the top number remains unchanged.
False_Neither
null
19,637
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
x can sometimes mean divide so you have to multiply it by itself.
False_Neither
null
19,638
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
x it by 2 and - 3 and got 6/30.
False_Neither
null
19,639
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
x the denominator by the integer
False_Misconception
Inversion
19,640
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
x thee denominator by the integer
False_Misconception
Inversion
19,641
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
yiu take 5 and multiply it by 1 over 5.
False_Misconception
Inversion
19,642
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
you add a 1 on the top and times them
False_Neither
null
19,643
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
you add the one on top of the 5 then times the top by top and bottom bye bottom
False_Misconception
Inversion
19,644
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
you addd 1 on the top and times them.
False_Misconception
Inversion
19,645
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
you always x the bottom to get the answer
False_Misconception
Inversion
19,646
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
you always x the bottom to get the answer.
False_Misconception
Inversion
19,647
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
you can do 5 x 3 which is 15 and then you times the denominator.
False_Neither
null
19,648
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
you can do 5 x 3 which is 15 and you times the denominator.
False_Misconception
Inversion
19,649
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
you change 5 intoo 1/5 and then do 2/3 times that which is 2/15.
False_Misconception
Inversion
19,650
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
you do 3x5 that makes 15 and put it as a denominator and then put the 2 as a nominator
False_Misconception
Inversion
19,651
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
you do keep flip change so you keep the 2/3 and make the 5 a 5/1 flip that so it becomes 1/5 and times them to get 2/15
False_Misconception
Inversion
19,652
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
you do not cut off the top, you lesve it like when your making divisions.
False_Neither
null
19,653
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
you do not times the numerator
False_Misconception
Inversion
19,654
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
you do not times the numerator.
False_Neither
null
19,655
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
you do one fifth time by two third
False_Misconception
Inversion
19,656
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
you do one fifth time by two thirds
False_Misconception
Inversion
19,657
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
you don’t times the numerator by 5 so the answer must be 2/15.
False_Misconception
Inversion
19,658
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
you have to do 2/3 x 1/5 which comes to 2/15
False_Misconception
Inversion
19,659
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
you have to do the denominator times the whole number an leave the top
False_Misconception
Inversion
19,660
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
you have to times the denominator only so 3x5 = 15 and that is now your denominator the add the numerator of 2
False_Misconception
Inversion
19,661
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
you have to times the denominator only so 3x5 = 15 and that is your new denumerator then add 2 which is the numerator.
False_Misconception
Inversion
19,662
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
you just have to times 3 by 5 to get 15 so the answer is b
False_Misconception
Inversion
19,663
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
you just have to times 3 by 5 to get 15 so the answer is b.
False_Misconception
Inversion
19,664
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
you leave the 2 and you do 3 times 5 and that is 15
False_Misconception
Inversion
19,665
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
you make 5 a fraction then times 2 by 1 the next time its 3 it's 5.
False_Misconception
Inversion
19,666
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
you make 5 a fraction then times 2 by 1 then 5 by 3
False_Misconception
Inversion
19,667
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
you make 5 into a fraction (1/5) and then do 2 x 1= 2 and 3 x 5=15. so the top of the fraction is 2 and the bottom is 15
False_Misconception
Inversion
19,668
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
you make 5 into a fraction (1/5) and then do 2 x 1=2 and 3 x 5 =15. so the top of the fraction is 2 and the bottom is 15.
False_Misconception
Inversion
19,669
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
you make the five holes turn into 1/5 then you times to by one and 3 by 5 to get to 2/15s and it cannot be simplified
False_Misconception
Inversion
19,670
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
you multiply the denominator by 5 and get 2/15
False_Misconception
Inversion
19,671
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
you need to change 5 into 1/5 and then times the 2/3 and 1/5 which is 2/15
False_Misconception
Inversion
19,672
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
you need to flip it so that 5 is on the left side and 1/5 is right then times 2 by 1, 3 by 5, which gives you 15 because there are 30 parts.
False_Misconception
Inversion
19,673
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
you only time 5 by the denomanater so 5 times 3 equals 15 so it will be 2/15
False_Misconception
Inversion
19,674
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
you times the denominator and leave the numerator the same
False_Misconception
Inversion
19,675
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
you times the number by the bottom
False_Misconception
Inversion
19,676
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
you turn 5 into 1/5 then multiply the 2 numerator then the 2 denomonators
False_Misconception
Inversion
19,677
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
you turn 5 into a fraction which is 1 over 5 and then mutliply it
False_Misconception
Inversion
19,678
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
you would put a 1 on top of the 5, then 2 times that equals 2, and 3 times 5 equal 15.
False_Misconception
Inversion
19,679
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
youu only time 5 by the denomanater so 5 times 3 equals 15 so it will be 2/15
False_Misconception
Inversion
19,680
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
youu take the 2 and times 5 by 3 which = 15 so it is 2/15
False_Misconception
Inversion
19,681
32,833
Calculate \( \frac{2}{3} \times 5 \)
\( \frac{2}{15} \)
youu take the numerators and denominator together, then you divide by 5.
False_Neither
null
19,682
32,835
Which number is the greatest?
\( 6 \)
(because it is a whoke number)
False_Misconception
Whole_numbers_larger
19,683
32,835
Which number is the greatest?
\( 6 \)
0.6 is so it must be the highest because 0.3 is not low.
False_Neither
null
19,684
32,835
Which number is the greatest?
\( 6 \)
6 because all the other are decimal
False_Misconception
Whole_numbers_larger
19,685
32,835
Which number is the greatest?
\( 6 \)
6 because all the otherr are decimal.
False_Misconception
Whole_numbers_larger
19,686
32,835
Which number is the greatest?
\( 6 \)
6 because it is a whole number.
False_Misconception
Whole_numbers_larger
19,687
32,835
Which number is the greatest?
\( 6 \)
6 because its a whole number
False_Misconception
Whole_numbers_larger
19,688
32,835
Which number is the greatest?
\( 6 \)
6 because its a whole number.
False_Misconception
Whole_numbers_larger
19,689
32,835
Which number is the greatest?
\( 6 \)
6 because that is a whole number.
False_Misconception
Whole_numbers_larger
19,690
32,835
Which number is the greatest?
\( 6 \)
6 because that is a wholee number.
False_Misconception
Whole_numbers_larger
19,691
32,835
Which number is the greatest?
\( 6 \)
6 because the amount of number that you have on the right side is the smallest and 6 does not have any so the answer = 6.
False_Misconception
Whole_numbers_larger
19,692
32,835
Which number is the greatest?
\( 6 \)
6 has no decimal piint
False_Neither
null
19,693
32,835
Which number is the greatest?
\( 6 \)
6 is a whoke number.
False_Misconception
Whole_numbers_larger
19,694
32,835
Which number is the greatest?
\( 6 \)
6 is a whoke number.
False_Misconception
Whole_numbers_larger
19,695
32,835
Which number is the greatest?
\( 6 \)
6 is a whole number and the other numbers has decimals
False_Misconception
Whole_numbers_larger
19,696
32,835
Which number is the greatest?
\( 6 \)
6 is a whole number and the other numbers has decimals.
False_Misconception
Whole_numbers_larger
19,697
32,835
Which number is the greatest?
\( 6 \)
6 is a whole number and the rest are decimal places.
False_Misconception
Whole_numbers_larger
19,698
32,835
Which number is the greatest?
\( 6 \)
6 is a whole number and the rest are decimals
False_Misconception
Whole_numbers_larger
19,699
32,835
Which number is the greatest?
\( 6 \)
6 is a whole number not a decimal therefore the biggest
False_Misconception
Whole_numbers_larger