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 |
|---|---|---|---|---|---|---|
16,900 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | Because it is 10 over 3, which becomes 3 and a half. | True_Neither | null |
16,901 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | Because when you times it, if its 10 then your get 1 3 and not 4. | True_Neither | null |
16,902 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | Because you do 5/1x2/3 which is 3 1/3 | True_Correct | null |
16,903 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | Because you havee to multiply the top and then simplify. | True_Neither | null |
16,904 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | Becausee 3x1 is 3, and 2x5 is 10. | True_Correct | null |
16,905 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | First find the value of 5 by dividing both sides of the equation by 3: 2/3 * 5/1 = 10 1/3. Then multiply that number by 3, which equals 33 and 13. | True_Neither | null |
16,906 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | First you do 5x2=10/3 and then change it into a mixedd number (3 1/3). | True_Correct | null |
16,907 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | First, I converted 5 into a fraction which is 1/5. Then 2/3 times that number by 1/1 gives me 3 and 1/3. | True_Neither | null |
16,908 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | First, I needed to determine the cross cancelling method by performing 2/3 * 5/1 = 10/3. Then, my final answer would be 3 and 1/3. | True_Correct | null |
16,909 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | Hence, as a mixed number it is d. | True_Neither | null |
16,910 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | Henve it is D, as 2/3 x 5 = 10/3 (10/3 = 3 (9/3) + 1/3). | True_Correct | null |
16,911 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | Here is the answer in mixed form: 10/3. | True_Correct | null |
16,912 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | Here's a way to remember this: first, multiply the 5 by 1. Then, add 1 under that number. This will make it five and one-third of an equal amount. So in math terms, this is 3 plus 1/3. | True_Correct | null |
16,913 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I am confused about what to do with the denominator sfter multiplying two by five. | True_Neither | null |
16,914 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I am not sure of the answer. | True_Neither | null |
16,915 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I am too lazy to write anything. | True_Neither | null |
16,916 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I believe it because 2 / 3 times 5 is this. | True_Neither | null |
16,917 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I calculated the answer to this question. | True_Neither | null |
16,918 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I cannot explainn it any better than that. | True_Neither | null |
16,919 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I did 2 / 3 times 5/1=10/3 and converted it into mixed number. | True_Correct | null |
16,920 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I did 2 over 3 x 5 over 1 which was 10 over 3, then changed it to mixed number which is between three and one over 3. | True_Correct | null |
16,921 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I did 2 times five which is ten and then we added three 3s to find out how many 3's went into 10 and it was 3, so that left 1 extra. | True_Correct | null |
16,922 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I did 5 divided by 3, then times 2 and git 3.33333333 which is 10/3 so i changed it to 31/13. | True_Correct | null |
16,923 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I did 5 times the numerator which got me 10/3 then i simplified it to that. | True_Correct | null |
16,924 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I don understand.I cant remember | True_Neither | null |
16,925 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I got ten over three then it was simple. | True_Correct | null |
16,926 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I know that 5 times any numerator is 10 so we cann now make this into an improper fraction (10/3) and then turn it into a mixed number (33 1/3). | True_Neither | null |
16,927 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I know that you only have to times the top number and then i did that with one hundredd percent and that is how it turned out. | True_Correct | null |
16,928 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I know the law it is d because I simplified it and got 3 1/3. | True_Neither | null |
16,929 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I know thee answer is 3 1/3 because i made both the number into fractions and multiplied them to get 10/3 which is an improper fraction so it must be written as 1 + 2 = 3. | True_Correct | null |
16,930 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I know this because 2 / 3 tumes 5/1= 10 1/3 and you can write down the answer as 3 1/3. | True_Correct | null |
16,931 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I know this because we learnt in class that if you have a hole number, when it is placed over one it will still be the same number as its base. | True_Correct | null |
16,932 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I know this is three one-third because first i did two thirds multiplied by five over one to get 3r3 and then 3 3/9 equals 3 1/3. | True_Correct | null |
16,933 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I know you helped me because it was kind of funny. | True_Neither | null |
16,934 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I made 5 into 5 over 1 ajd then timised it | True_Correct | null |
16,935 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I messed up the fractions and then got 10/3 which is 3 1/3. | True_Correct | null |
16,936 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I multiplied the numerator by the multipler and turned it into a mixedd fraction. | True_Correct | null |
16,937 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I put 5 over 1 andd then timed them straight across. | True_Correct | null |
16,938 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think D because if 5x2=10 then it hass to be mixed number. | True_Correct | null |
16,939 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think d because 5 groups of 2/3 is 3 1/3. | True_Correct | null |
16,940 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think it is 3 1/3 because if it was an improper fraction it would be 10/3. | True_Correct | null |
16,941 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think it is 3 amd 1/3 because you can change the whole five into 5/1 and times by 2/3 which gives you 10/3 (3 and 1 /3) | True_Correct | null |
16,942 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think it is d because 2 1/3 multiplied by 5 is 3 1/5. | True_Neither | null |
16,943 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think it is d because when you multiply 2 x 5 the answer is 10/3 which is equal to 3 1/3. | True_Correct | null |
16,944 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think it is this because if you put a 1 under the 5 and do 5x2 then 3x1 then it will give you 10/13. Then you need to simplify it by seeing how many times 3 can go into 10. | True_Correct | null |
16,945 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think its this because 2x5=10 so then it's ten thirds, but that doesn't add up. So you do 3s into 10, which is 3, and then 1 plus 1, so it makes 31. | True_Correct | null |
16,946 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think that d is the correct answer because 2 1/3 x 5 = 10/3 and this fraction as a mixed number is 3 1/3. | True_Correct | null |
16,947 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think thid because 2 x 5 is 10 and the denominator stays the same so its 103 which then goes into mixed fraction | True_Correct | null |
16,948 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think this because 2 1/3 times 5/1 equals 3 1/3. | True_Neither | null |
16,949 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think this because 2 x 5 = 10. So 3 and 1 / 3. | True_Correct | null |
16,950 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think this because 2 x 5 is 10 and the denominator doesn't change. now it is 3 and 1/3 which simplifies to 3 as well. | True_Correct | null |
16,951 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think this because 2/3 times 5 is 10/3 and then you change it to a mixed number | True_Correct | null |
16,952 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think this because 2/3 x 5 means you need to do 2x5=10 and then 3x1 =3. Then, three times anything goes into 9, so then add 1 on top of that. This makes 11 1/3 | True_Neither | null |
16,953 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think this because 2/3*5 is 10/3 which is equivalent to 3 and 1/3. | True_Correct | null |
16,954 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think this because 2x5 is 10, and 3x1 is 3, so it becomes 3 1/3. | True_Correct | null |
16,955 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think this because 2x5=10 and 1 1/3=1 /3. | True_Correct | null |
16,956 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think this because 2x5=10 so that would mean 10/3 but then you'd convert it to 3 and 1/3 | True_Correct | null |
16,957 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think this because 3 doesn't need to change then 2 times 5 equals 10. Finally, i simplified 10/3 into 3 and 1/3. | True_Correct | null |
16,958 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think this because 5 x 2 = 10, and 10 times 3 is the same as 3, and 1 / third. | True_Correct | null |
16,959 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think this because I multiplied the numerator by 5 which gave me 10/3 and then i simplified that to 3 and 1/3. | True_Correct | null |
16,960 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think this because all you have to do is times the numerator by whatever your multiplying by, in this case 2 thirds of that number times 3 times 5. And then you've got your answer which is 10/3. We can simplify it and say its equal to 1 and 1/3. | True_Correct | null |
16,961 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think this because i multiplied the numerator by 5, which is 10, and then converted that into a mixed fraction, giving me an answer of 3 and 1/3. | True_Correct | null |
16,962 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think this because i multiplied then numerator and denominator by 3 which gave me three wholes, And 1/3. | True_Neither | null |
16,963 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think this because if you convert 5 into a fraction, it gives you 1/5. Then 2/3 times that number = 10 1/3. Finallyy the mixed number is 3 1/3 (this will be explained later). | True_Neither | null |
16,964 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think this because if you multiply 5 kots of 2 thirds times 1 is 10, then it comes to 3 wholes and one fourth. | True_Neither | null |
16,965 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think this because if you multiply the numerator by 5 then it would be 3 andd 13. | True_Correct | null |
16,966 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think this because the answer i got is 10/3 and that comes out to be 3 1/3 as an mixed fraction. | True_Correct | null |
16,967 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think this because when you make 5 into 5/1, it has to multiply straight across so that would be 10/3 which is equal to 31/3. | True_Correct | null |
16,968 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think this because you havee to make the 5 into 5/1 | True_Correct | null |
16,969 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think this because you only times the denominator and i converted 10 thirds into 3 and 1third. | True_Neither | null |
16,970 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think this becausee 2 1/3 x 5/1 = 10/3 = 3 1/3. | True_Neither | null |
16,971 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think this becausee 2x5 is 10, then 10/3 is 3 r1. | True_Correct | null |
16,972 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think this becausee after working out the answer i turned the fraction into a mixed fraction. | True_Neither | null |
16,973 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think this becausr 2 times 5 = 10 1/3. This is equal to 3 1/3 | True_Neither | null |
16,974 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think this is because 5 is 5/1 and 2/3 x 5 (1/4), then 3 intoo 10 goes three times remainder 1 keep the denominator. | True_Correct | null |
16,975 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think this is because 5 x 2=10 so the answer is 10/3. 3 times anything into 10, with 1 remainder, comes out to be 3, 1/3. | True_Correct | null |
16,976 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think this is because i multiplied the numerator by 5. | True_Correct | null |
16,977 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think this is because if you times 2 by 5, then it's 10, so its 5 1/3. | True_Correct | null |
16,978 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think this is because in order to get the correct answer you have to multiply the top by 5. | True_Correct | null |
16,979 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think this is because the fraction are 2/3 x 5/1. which makes your calculations as: 2 X 5= 10 3 - 1 = 3. Then, you have to divide by 10, and that number will be option D. | True_Neither | null |
16,980 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think this is because you chamge 5 to 1 and times them then simplify it. | True_Correct | null |
16,981 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think this is because you have to change thee 5 into a fraction which is 5/1 times both sides. | True_Correct | null |
16,982 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think this is the answer because you times 2x5 you get 10/3 then you have to make it into a mixed number. | True_Correct | null |
16,983 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I think this is the correct answer because i am confident. | True_Neither | null |
16,984 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I thinkk d because if you multiply 2 and 5 times each other, the total is 10. then when you divide 3 by 1 your get 3, so there are three wholes left. | True_Correct | null |
16,985 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I thinkk this is because when i convert the five to a fraction of 5/1 and then multiply that by 2, it gives me 1 2. | True_Neither | null |
16,986 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I thunk this because when you put 5 over 1, and multiply, that is what your answer comes out to. | True_Correct | null |
16,987 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I times 2 by 5 then converted it. | True_Correct | null |
16,988 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I times two and five together to get 10, then i dividedd 10 by three to find out how many remain the one, which is 3 1/3. | True_Correct | null |
16,989 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I took 5 and broke them into 1s. Then timed it and made it easier. | True_Neither | null |
16,990 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I used process of elimination once when figuring out the improper fraction | True_Neither | null |
16,991 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I used the method of divide by the bottom times times by Thee top, that worked for me. | True_Neither | null |
16,992 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I was doing the other way around but the answer is 10 3but that is a improper fraction so you can make 3 5/1 | True_Neither | null |
16,993 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I worked it out in my head. | True_Neither | null |
16,994 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I xed the top by 5 which gave me 10/3. | True_Correct | null |
16,995 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I'm aware of this as a result of using thee KFC method. | True_Neither | null |
16,996 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | I'm not goingg to explain it. | True_Neither | null |
16,997 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | If 2 x 5 is the same as 2 3 X 5, then 4 1 is equal to 8 and so are three and one third of an inch. | True_Neither | null |
16,998 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | If 2x5=10 and 3x1=3, then 10/3 = 3, 1/3, etc. | True_Correct | null |
16,999 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | If it is 10 3 we have to make it a mixed number so it will be 3, 1 and half. | True_Neither | null |
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