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 |
|---|---|---|---|---|---|---|
17,800 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i think this is because if you change the integer 5 into fraction (5/1),you may times the denominator by the numerator (3x1)and then multiply that number by two, leaving you with 10/3 which needs to be simplified from a heavy top number. | True_Correct | null |
17,801 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i think this is because the answer is 10/3 but when i turned it into mixed fraction it became 3 1/3. | True_Correct | null |
17,802 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i think this is because the answer would be ten over three which is 3 and 1/3. | True_Correct | null |
17,803 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i think this is because when i convert the five to a fraction 5/1 and i multiply the two fractions together | True_Correct | null |
17,804 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i think this is because when you do 10/3 as a mixed number, it comes out to 3 1/3. | True_Correct | null |
17,805 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i think this is because when you times 2 by 5 it gives you 10, so 3 x 10 = 30. | True_Neither | null |
17,806 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i think this is because you can add a denominator 1. when you multiply fractions you just do numerator times numericator( 2 times 5 = 10), and then denumerator time denotator ( 3 times 1 = 3). now that we have to convert it into othe mixed fraction = 3, and 1/3. | True_Correct | null |
17,807 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i think this is becausee 2 / 3x5= 10/3 which is the same as 3 1/3 | True_Correct | null |
17,808 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i think this is correct because 5x2 is 10
10 divided by 3 is 3 remainder 1 | True_Correct | null |
17,809 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i think this is the answer because 2/3*5= 10/3 but that is an improper fraction so it must be turned into a mixed fraction which would be 3 and 1/3 | True_Correct | null |
17,810 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i think this is the answer because 5 = 5/1 and then 5/1 x 2/3 = 10/3 = 3 1/3 | True_Correct | null |
17,811 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i think this is the answer because i x the number to the top part of the fraction | True_Correct | null |
17,812 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i think this is the answer because you could turn any number into a fraction if you put it over 1.if you put the 5 over 1, you can now do 2/3 x 5/1 which gives you 10/3. you can turn this into a mixed number and get 3 and 1/3 | True_Correct | null |
17,813 | 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 |
17,814 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i think this is this answer because im confident. | True_Neither | null |
17,815 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i think this my answer is correctly because i just calculated by try write down 5 peaces of this question and then the answer is this one. is n’t it? | True_Neither | null |
17,816 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i think this my answer is correctly because i just calculated by try write down 5 peacess of this question and then the answer. correct? | True_Neither | null |
17,817 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i think thiss because 2 / 3 x 5 = 10 1/3 or 3 and 1 - half. | True_Neither | null |
17,818 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i think thiss because this is the mixed number converted | True_Neither | null |
17,819 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i think thiss is because you turn 5 into a quarter. | True_Neither | null |
17,820 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i thinkk that d is the correct answer because 2 1/3 times 5 is equal to 2/3 times 4/7 so the answer would be 10/13. | True_Neither | null |
17,821 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i thinkk this is the answer because i added 4 to the top part of the fraction. | True_Neither | null |
17,822 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i timed the denominators and the numerators then made it a mixed number | True_Neither | null |
17,823 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i timed the numerator by 5 then i converted it in to mixed number to get the answer | True_Correct | null |
17,824 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i times 2 by 5 then converted it | True_Correct | null |
17,825 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i times 2 x 5 which is 10 then i did 10/3 three into ten is 3 leave the denominator and the numerator is 1 because 9 into 10 is 1 | True_Correct | null |
17,826 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i times 2 x 5 which is 10, then i did 10/3 three into ten is 3, leavee the denominator and the numerator is 1 because 9 into 10 is 1. | True_Correct | null |
17,827 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i times it then simplefied it into a mixed number | True_Neither | null |
17,828 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i times it then simplified it into a mixed number. | True_Neither | null |
17,829 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i times the 2 times by five then worked out how many times 3 goes into 10 | True_Correct | null |
17,830 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i times the numbers and simplified it | True_Correct | null |
17,831 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i times two and five together to get 10 then i divided 10 x 3 to get three remain the one and in fractions that makes 3 1/3 | True_Correct | null |
17,832 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i turned 5 into 5/1 then i multiplied that by 2/3. i got 10/3. to turn that into a mixed number, i did how many 3s in 10 (3) and i was left with 1 left over. i turned these into 3 1/3 | True_Correct | null |
17,833 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i used pictures to work it out | True_Neither | null |
17,834 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i used process of elimination once figuring out the improper fraction | True_Neither | null |
17,835 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i used the way where you turn the 5 into 5/1 and then timesed the denominators and the numerators together and turned it in to a mixed number | True_Correct | null |
17,836 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i used the way where you turn the 5 into 5/1 andd then timesed both denominators and numerators together to make mixed number. | True_Correct | null |
17,837 | 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 3/1 | True_Correct | null |
17,838 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i worked it out in my head | True_Neither | null |
17,839 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i worked it out using a formal method | True_Neither | null |
17,840 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i would only multiply the numerator | True_Neither | null |
17,841 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i would put the 5 over a 1 as it is eqivilant to 5 and then times both numerators and both denomanotrs which is 10/3 and then change it in to a mixed number is 3 1/3 | True_Correct | null |
17,842 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | i would put the 5 over a 1 as it is equivilant to 5, and then times both numerators and both denomanotrs which is 10/3, then change in to if you divided by 3 (1 1/3) you get 2 * 6 = 8 and so that'd be 3 + 1 or 7 plus 4. | True_Neither | null |
17,843 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | iade 5 into 5 ones then timesed it then simplified it | True_Correct | null |
17,844 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if 2x5=10 and 3x1=3 then 10/3 becomes 3 and 1/3 | True_Correct | null |
17,845 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if 2x5=10 then that is 10/3 and so 3 1/3. | True_Correct | null |
17,846 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if 5 x 2 = 10, thenn 10/3 and 3 is (3 + 1/3) or (1+3). | True_Correct | null |
17,847 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if i had 2 of them it would be 66 divided by 100 is o.66 so i am left with 1.66 1.67 x2 =3.32 so 0.33 as a fraction is 1/3 so my answer was 3 1 / 3. | True_Correct | null |
17,848 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if it equals 10/3 then you need to m,ak eit a mixed number. | True_Correct | null |
17,849 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if u times the numerator by 5 and it gives u a top heavy fraction 10/3 and if u turn it into a mixed fraction it would be 3 1/3 | True_Correct | null |
17,850 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if we make it 2/3 x 5/1 the answer is 10/3. this as a mixed number is 3 1/3. | True_Correct | null |
17,851 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if we put 1 as the denominator on 5, then 5 wholes, and 4 is divided by 1, we get 3 wholee a pennies. | True_Neither | null |
17,852 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you add 3 1/3 to anything it is 10/3. | True_Neither | null |
17,853 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you change 5 into 5/1, then multiply that by 10, which is 3 and 1/3. | True_Correct | null |
17,854 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you change the 5 into 5/1 it will still be the same but makes the answer easier so 5/1 x 2/3 = 10/3. if you simplify 10/3 you will get 3 1/3 | True_Correct | null |
17,855 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you do 2 x 5 you get 10 and then you have to make it into its simplest form | True_Correct | null |
17,856 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you do 2x5=10 and 3x1==3 then your fraction is 10/3 which would be three thirds of the way to tell it was two. The other way round is that when you multiply both sides by 3, it comes out as 31 1/3, so in fact it's half what it should have been. | True_Neither | null |
17,857 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you do a bar graph you would split it in to thirds and shade in 2/3. you split the 2 1/3 into 5 groups each. you then pretend each slice is a third. you now have 10 thirds. 3 into 10 is 3 so three wholes. 3x3=9 so you still have one third left so it is 3 and 1/3. | True_Correct | null |
17,858 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you etimes the numerator then talke one away you get dsd | True_Neither | null |
17,859 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you just x the top number by 5 and you will get a top heavy fraction, then change it into a mixed nunmber. | True_Correct | null |
17,860 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you make 5 5over one you can just cross multiply to make it a top heavy number so you just simplify. | True_Correct | null |
17,861 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you make 5 in to a fraction it turn into 5/1 x 2/3=10/3 which in a mixed fraction is 3 1/3 | True_Correct | null |
17,862 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you make 5 over one, it is just a number that goes to the top. | True_Correct | null |
17,863 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you multiply 10 by 3 it gives you a mixed number. | True_Neither | null |
17,864 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you multiply 2 by 5 then the answer is 10/3. however that is an improper fraction, so it must be turned into a mixed fraction which would be 3 and 1/3. | True_Correct | null |
17,865 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you multiply 2 times 5 then it will give you 4. | True_Neither | null |
17,866 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you multiply 3 by 1 then that is 3 and 5 times 2 which is 10. when it's mixed mumber (like the hole number under 1) there are three parts. | True_Correct | null |
17,867 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you multiply 5 by 1 and then divide that number in half, it comes out to be 9 with one left over so there are three holes and 1 over 3 | True_Neither | null |
17,868 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you multiply 5 by itself, then divide it in half and do thee calculation. | True_Neither | null |
17,869 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you multiply 5 times 1 then 3 times it gives the number 10 and a mixed number of 13 because 23 plus 11 equals 10. | True_Neither | null |
17,870 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you multiply 5 times 1 then it is the same as 5 divided by 1. | True_Neither | null |
17,871 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you multiply the hole by 2, then it is d because that is an impriper fraction. | True_Correct | null |
17,872 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you multiply the numerator by 5 you get 10. you cannot have 10/3 so you have to simplify it into 3 1/3 | True_Correct | null |
17,873 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you multiply the numerators of both sides by 2, then simplify, you get three and one third. | True_Correct | null |
17,874 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you multiply you need to make the whole number a fraction so 5/1 and if you times them it would be a improper fraction. | True_Correct | null |
17,875 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you multiply, then need to make the whole number a fraction such as 5/1. then if you times it, it will be an umproper fraction | True_Correct | null |
17,876 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you put 5 over 1 and then times it you get the answer of 10 over 3 but this is a improper fraction so as a proper fraction it is 3 wholes and 1 3rd | True_Correct | null |
17,877 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you put the 5 on top of a one then do numerator times numerator and denominator times denominator then you simplify your answer | True_Correct | null |
17,878 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you put the 5 on top of one then do numerator times num, and denominator time denum. then your answer is 15. | True_Neither | null |
17,879 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you put the 5 overr 1, then it will give you 2/3 x 5/1 which gives you 10/3. then, to turn this into a mixed number and get 3 and 1/3; | True_Correct | null |
17,880 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you take the 1 under the 5 and times it, then multiply that by 10, 3 will come out. then triple that number to find what 1/3 is. | True_Neither | null |
17,881 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you take the product of 2 / 3 and 5 x 5, then it will be 1 + (-1). this means thatt when we multiply 10 times 3, we get 10, which is also 10. | True_Neither | null |
17,882 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you takee 5 and multiply by 2 thirds, then your answer is 3 wholes and 1/3. | True_Neither | null |
17,883 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you times 2 by 5, that comes to 10, then see how many 3s go intoo 10. | True_Correct | null |
17,884 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you times 2/3 and 5/1 (because its improper so i made it a mixed number) that would equal 10/3 if you convert it into an improper fraction again it would equal 3 1/3 | True_Correct | null |
17,885 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you times the bottom number, which is 15, then it comes out to 10/15. | True_Misconception | Duplication |
17,886 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you times the numerator by 5 you get 10/3 as a mixed fraction is 3 1/3 | True_Correct | null |
17,887 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you times them then get it in its simplest form you get this answer | True_Neither | null |
17,888 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you times them together they come up with 10/3 which is the mixrd number. | True_Correct | null |
17,889 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you times them together you gett 10/3 then convert them into a mixed fraction and you end up with 3 1/3. | True_Correct | null |
17,890 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you turn 3 in 1/3 in to an improper fraction it will be 10/3 | True_Correct | null |
17,891 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you turn 5 in to 5/1 and multiply, then that number becomes 10/3. you have to convert it to a mixed number. | True_Correct | null |
17,892 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you turn 5 into thirds you get 15/3 then do 2/3 times 15/3 which is 30/9 and you simplify it down to 10/3 which is equal to 3 and 1/3 | True_Correct | null |
17,893 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you turn 5 into thirds, then do 2/3 times 15/33 which is 30/9 and it simplifies down to 10/7. | True_Neither | null |
17,894 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you want to makee it into a mixed number, like 3 1/3 then the numerator is 10 and you times by 5, giving us 5 * 10, which equals 10 / 3, so we have our fraction. | True_Correct | null |
17,895 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you want to see how it looks in other words just write 10 and 3 then take the top half off and you will get three and 1/3. | True_Correct | null |
17,896 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you work it out as 2/3 x 5/1 (because 5 = 1) that equals 10/3 which is 3 because 3 times anything in the math world is always positive, like 3, 2, 5, 7, 11, 13, and 23. | True_Neither | null |
17,897 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if you work it out as 2/3 x 5/1 (because 5/1 = 5) that equals 10/3 which is 3 because 3 goes into 10 3 times (3x3=9) and then the answer becomes 3 1/3. | True_Correct | null |
17,898 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | if youu take 5 and multiply it times 3, then you get 10/3. | True_Neither | null |
17,899 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | im not sure of the answer | True_Neither | null |
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