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 |
|---|---|---|---|---|---|---|
18,000 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | so, 2/3 * 5 = 2*5 = 10/3 therefore, 10-3 = the answer for option d | True_Correct | null |
18,001 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | so, two times by five is ten. so you can get three threes in a row and then one third left over. | True_Correct | null |
18,002 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | take the 2 (the numerator) and multiply it by 5, giving us 10. this makes 10/3, or 3 1/3. | True_Correct | null |
18,003 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | thats over a third of three times five. | True_Neither | null |
18,004 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | that’s what i fink it is | True_Neither | null |
18,005 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | the i did 2 thirds times one fiths and i got 10 tihrds so i changed that into 3and one half | True_Neither | null |
18,006 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | the 3 stays the same but i times the 2 by 5 2x5 = 10 10 divided by 3 = 3 and 1 third | True_Correct | null |
18,007 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | the 5 can be turned into the fraction 5/1. then multiply across so 2x5 is 10 and 3x1 is 3. this means the answer is 10/3 which is equivalent to 3 1/3 | True_Correct | null |
18,008 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | the answer is 10 over 3 =3 1 over 3 | True_Correct | null |
18,009 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | the answer is 10 over 3 which is equilalent to 3 and 1/3 | True_Correct | null |
18,010 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | the answer is 10 thirds but if you convert it to a mixed number you get three and 1 third. | True_Correct | null |
18,011 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | the answer is 10/3 and it is simplified to 3 1/3 | True_Correct | null |
18,012 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | the answer is 10/3 and its is 3 1/3 as a mixed number | True_Correct | null |
18,013 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | the answer is 10/3 but as that is an improper fraction we have to turn it into a mixed fraction so the answer is 3 1/3 | True_Correct | null |
18,014 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | the answer is 10/3 but here it's simplified | True_Correct | null |
18,015 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | the answer is 10/3 but here we have it simplified. | True_Correct | null |
18,016 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | the answer is 10/3 but you have to make it into a mixed number so it will be 3 1/3 | True_Correct | null |
18,017 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | the answer is 10/3 simplified that = d | True_Correct | null |
18,018 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | the answer is 10/3 which is 3 1/3 as a mixed number | True_Correct | null |
18,019 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | the answer is 10/3 which, as a mixed number is d | True_Correct | null |
18,020 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | the answer is 10/3. as a mixed number, it is 3 1/3. | True_Correct | null |
18,021 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | the answer is 3 1/3 becausee 2/3 multiplied by 5 equals 10 1/3. | True_Correct | null |
18,022 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | the answer is 3 and 1/3 because 2/3 x 5 = 10/3. 10/3 as a mixed number is 3 and 1/3. | True_Correct | null |
18,023 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | the answer is d because 2/3 x 5/1 = 10/3. 10/3 simplified is 3 1/3. | True_Correct | null |
18,024 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | the answer is d because i did 2x5 which is 10 then i changed that into a mixed number which equals 3 and 1/3 | True_Correct | null |
18,025 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | the answer is d because when you times the numerator by five, you get 10/3. 10/3 =
3 1/3. | True_Correct | null |
18,026 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | the answer is d because you times the numarater by the whole number you get 10/3 which can be changed to 31/3 | True_Correct | null |
18,027 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | the answer is ten over three which is three and one third | True_Correct | null |
18,028 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | the answer is ten times three, whichh is 3 and one third. | True_Neither | null |
18,029 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | the answer to the question is 10/3 what you can make it into a quillivant fraction which is three holes and one third | True_Correct | null |
18,030 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | the answer to this is 10/3 but we have to make the answer into a mixed number so it would be 3 1/3 | True_Correct | null |
18,031 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | the answerr is 1 1/3. | True_Neither | null |
18,032 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | the correct answer is d since when you convert 5 into a fraction it becomes 5/1 . so your new sum is 2/3 × 5/1 and that is equal to 9/3 ; however, that is an improper fraction so you have to simplify it to become 3 1/3. | True_Neither | null |
18,033 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | the equation = 10/3 and 10/3 simplified = 3 and 1/3 | True_Correct | null |
18,034 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | the first step would be to find the numerator and then times it by whatever integer you want to work out. for example, let's say your answer is 10 which can then be simplified to 3 and 1/3. | True_Correct | null |
18,035 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | the numerator 2 times 5 is 10 and the donomiator 3 times 1 is 3 | True_Correct | null |
18,036 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | the numerator 2 times 5 is 10, and the donomiator 3 times 1 is 3. | True_Correct | null |
18,037 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | the original answer is 10/3 but i simplified it to 3 and1/3 | True_Correct | null |
18,038 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | the product of 2 x 5 is 10, so 3 times that number is 10 (3 + 1 = 3, and the remainder represents one third). this means that to put it into mixed numbers, it would be 33 1/3. | True_Neither | null |
18,039 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | the product of 2/3 and 5/1 is 10/3, so it should be written as 3 1/3. | True_Correct | null |
18,040 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | the question equals 10/3 which is a top heavy fraction so i simplified it which is 3 1/3 | True_Correct | null |
18,041 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | the reason is that 2/3 x 5 is 10/3. and when you mix 3 1/3 and 10, it comes out to be 3 1 / 3. | True_Correct | null |
18,042 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | then 2/3 * 5/1=3 1/3 | True_Correct | null |
18,043 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | then multiply that by 2 to get 10 and then triple it to 1 x 3 to come up with three. | True_Neither | null |
18,044 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | then you multiplyy it by 2/3 | True_Neither | null |
18,045 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | there are 3 threes in 10, so there should be one leftt over. | True_Correct | null |
18,046 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | there are 3 whole ones and 1 extra | True_Neither | null |
18,047 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | there are 3 wholes
and one 3rd | True_Neither | null |
18,048 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | there are 5 x 2 = 10 which equals to 10 thirds. it is then converted into mixed number. | True_Correct | null |
18,049 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | there are three and a half times as many ways to do this math problem as there are steps. | True_Neither | null |
18,050 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | there is no common denominator so you would multiply 5 by 2 which will givee 10, if you simplify this it gives you 3 1/3. | True_Correct | null |
18,051 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | there is no common denominator so you would multiply 5 by 2 which would equal to 10, if you simplify this it gives you 3 1/3 | True_Correct | null |
18,052 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | theree are 5x2=10 and three goes into ten 3 times with one reminder | True_Correct | null |
18,053 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | think this because you times the demonator which is 3 then times 2 by 5 which is 10/3 but thats improper so simplifed its 3 1/3 | True_Correct | null |
18,054 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | this can be written as 1 1/3 which is the same as 10/3 because you have made the fraction into 5/1 and then times across. | True_Correct | null |
18,055 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | this is 3 and 1 x 10. 2x5 = 10 so this is also 3, which means that there are three parts to the mixed number. | True_Correct | null |
18,056 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | this is because 1 times 3 is 3 and 2 times 2 is 10 and then you need to make it simply | True_Correct | null |
18,057 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | this is because 2 times 5 = 10 and 10/3 as a mixed number is 3 1/3 . | True_Correct | null |
18,058 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | this is because 5 is the same as 5/1. so 2 x 5=10. 3 x 1=3. 10/3 as a mixed number is 3 1/3 | True_Correct | null |
18,059 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | this is because i first converted 5 into a fraction, and multiplied it with 2/3, which got me 10/3. converted, that is 3 1/3. | True_Correct | null |
18,060 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | this is because the answer is ten thirds which is simplified to 3 and one third. | True_Correct | null |
18,061 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | this is because we would make the question
2/3 x 5/1 2x5=10 3x1=3 so it would be 10/3 which would equal 3 and 1/3 | True_Correct | null |
18,062 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | this is because, 5 is a whole number which can be turned into x (5/1) and then 2/3 times that would make 10-3. finally, three and 1/3 are mixed numbers (three plus one third). | True_Correct | null |
18,063 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | this is d because if you put 1 under the five and times it then you get 10 over 3 and put it as a mixed number | True_Correct | null |
18,064 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | this is due to the fact that 2 times 5 equals 10, and 10 fits into 3, 3 times, remainder 1 (3 and 1/3). | True_Correct | null |
18,065 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | this is the answer because if you convert 5 in to a fraction you get 5/1 so now if you times
2/3 x 5/1 you get 10/3 so when you convert it into a mixed number you get 3 1/3 | True_Correct | null |
18,066 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | this is the answer because you times the 2 by 5 which gives you the fraction then change it into whole numbers | True_Correct | null |
18,067 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | this is the only one that works | True_Neither | null |
18,068 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | this is the only one that works | True_Neither | null |
18,069 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | this is this because 2/3 x 5 is 10/3 convert that is 3 and 1/3 | True_Correct | null |
18,070 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | this means that 2 x 5 = 10 and 3 x 1 = 3, so the answer must be 30. | True_Neither | null |
18,071 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | thiss as a mixed number is 3 1/3. | True_Neither | null |
18,072 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | thiss is because 2/3x5/1=10/3 which is the same as 3 1/3. | True_Correct | null |
18,073 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | times 2 by 5 and 3 by 1 to get 10/3 then simplify to get 3 1/3 | True_Correct | null |
18,074 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | times the numerators and denominatorss you get a simple answer. | True_Neither | null |
18,075 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | times two by 5 and make it into a proper fraction | True_Correct | null |
18,076 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | to calculate this, i used the cross cancelling method by doing 2/3 * 5/1 = 10/3, which as a mixed number would be my final answer of 3 and 1/3. | True_Correct | null |
18,077 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | to find the fractional part of 5 do 5 * 5/1 and then add 2 1/3 whuch is 10/3 which should be 1 1/3. | True_Neither | null |
18,078 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | to find the remainder we multiply the fraction by 5/1 to get 10/3 whichh is 3 and 1/3. | True_Correct | null |
18,079 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | to make a fraction, you have to put onee on the bottom of five. | True_Correct | null |
18,080 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | to multiply a fraction by a whole number you need to make the whole member over one nd then multiply normally | True_Correct | null |
18,081 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | to multiply a fraction by a whole number, you can simply multiply the numerator of the fraction by the whole number while keeping the denominator unchanged.
so, 2/3 * 5 = 2*5 = 10/3
therefore, 10/3 = the answer for option d | True_Correct | null |
18,082 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | to multiply an integer by a fraction. you put the integer over one. (5/1) 2x5=10 3x1=3 answer: 10/3 as a mixed number 3 and 1/3 | True_Correct | null |
18,083 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | to simplify this expression, you can see that 2/3 * 5 = 10 1/3. this simplifies to 3 and 1 / 2. | True_Correct | null |
18,084 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | to times it on the top but add the 1 | True_Correct | null |
18,085 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | to work out this question i did five over one times by 2/3. this is also 5x2=10 and 3x1=3. 10/3 is also 3and 1/3 | True_Correct | null |
18,086 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | to work out this question, you only really need to do one sum. with a bit of mental working out. the one sum you need to use is 2x5 (the numbers will alter according to the question). we do 2x5 because we are multiplying the fraction by 5 and we only need to multiply the numerator. 2x5=10. we now need to add the denominator back on so it becomes 10/3. we have our answer 10/3! no, in tests, they like to see mixed numbers. so how many 3s in 10? 3 with 1 left over. that becomes 3 1/3. | True_Correct | null |
18,087 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | turn 5 in to 5/1 and mulitply. you get 10/3 and then convert it to a mixed number. | True_Correct | null |
18,088 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | two thirds multiplied by five over one =ten over three.
ten over three symplified is 3 and one third | True_Correct | null |
18,089 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | two thirds times 5 is 10 thirds. change this improper fraction to a mixed number and you get three and one third | True_Correct | null |
18,090 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | two thirds x 5 = ten thirds, and if you simplify it you'll have 3 and one third. | True_Correct | null |
18,091 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | two times by five is ten.
you can get three threes in ten.
there is then one third left. | True_Correct | null |
18,092 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | two times five is equal to ten and three times one-third of that sum is also equal. | True_Neither | null |
18,093 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | two times five is ten and divide by three then use the remainder as the nominator. | True_Correct | null |
18,094 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | u do 2 x 5 which is 10 and 3 goes into 10 3 times with one left over | True_Correct | null |
18,095 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | u do 2 x 5 which is 10, and 3 times into 10 three times with one left over. | True_Correct | null |
18,096 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | under 5 is one. one times 3 is 3. 2 x 5 is 10. 3 goes into 10 ,3 times remainder 1 equaling 3 1/3 | True_Correct | null |
18,097 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | using your mixed number, you put 3 over one because that equals three then do 25 = 10 andd 31 = 3, which is an improper fraction. | True_Correct | null |
18,098 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | we multiplied the fraction by 5/1 to get 10/3 which is 3 and 1/3 | True_Correct | null |
18,099 | 32,833 | Calculate \( \frac{2}{3} \times 5 \) | \( 3 \frac{1}{3} \) | what i did first was change 5 into 5/1 so then i could do 2/3 x 5/1=10/3. this is an improper fraction so i changed it into a mixed number which was 3 1/3. | True_Correct | null |
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