Common Core: 4th Grade Math : Use the four operations with whole numbers to solve problems

Study concepts, example questions & explanations for Common Core: 4th Grade Math

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Example Questions

Example Question #21 : Solve Multistep Word Problems Using The Four Operations: Ccss.Math.Content.4.Oa.A.3

Melissa is making holiday cookies. She made \displaystyle 50 cookies and she's going to put them into small containers to give out to her friends. Each container holds \displaystyle 4 cookies. How many containers can she fill completely? 

Possible Answers:

\displaystyle 14

\displaystyle 14

\displaystyle 12

\displaystyle 13

\displaystyle 15

Correct answer:

\displaystyle 12

Explanation:

When we have a set of something that we are splitting up into groups, we divide. In this case, we are splitting up cookies into containers. We have \displaystyle 50 cookies that we are dividing into containers. Each container holds \displaystyle 4 cookies, so we divide \displaystyle 50 by \displaystyle 4 to find out how many containers we can fill. We will let \displaystyle c represent the number of containers that we can fill. 

\displaystyle 50\div4=c

 \displaystyle \frac{\begin{array}[b]{r} \ 12\\ 4{\overline{\smash{)}50}}\\ -\ 4\smash{\color{Red}\downarrow}\end{array}}{ \ \ \ \space \frac{\begin{array}[b]{r}1{\color{Red} 0\ \ }\\ -\ \ \ 8\ \ \end{array}}{ \ \ \space} }

                     \displaystyle 2

We drop the remainder of \displaystyle 2 because the question asks how many containers we can fill completely. 

Example Question #492 : How To Divide

Melissa is making holiday cookies. She made \displaystyle 62 cookies and she's going to put them into small containers to give out to her friends. Each container holds \displaystyle 5 cookies. How many containers can she fill completely? 

 

Possible Answers:

\displaystyle 12

\displaystyle 10

\displaystyle 7

\displaystyle 11

\displaystyle 8

Correct answer:

\displaystyle 12

Explanation:

When we have a set of something that we are splitting up into groups, we divide. In this case, we are splitting up cookies into containers. We have \displaystyle 62 cookies that we are dividing into containers. Each container holds \displaystyle 5 cookies, so we divide \displaystyle 62 by \displaystyle 5 to find out how many containers we can fill. We will let \displaystyle c represent the number of containers that we can fill. 

\displaystyle 62\div5=c

\displaystyle \frac{\begin{array}[b]{r} \ 12\\ 5{\overline{\smash{)}62}}\\ -\ 5\smash{\color{Red}\downarrow}\end{array}}{ \ \ \ \space \frac{\begin{array}[b]{r}1{\color{Red} 2\ \ }\\ -\ \ \ 10\ \ \end{array}}{ \ \ \space} }

                     \displaystyle 2

We drop the remainder of \displaystyle 2 because the question asks how many containers we can fill completely. 

Example Question #493 : How To Divide

Melissa is making holiday cookies. She made \displaystyle 76 cookies and she's going to put them into small containers to give out to her friends. Each container holds \displaystyle 6 cookies. How many containers can she fill completely? 

 

Possible Answers:

\displaystyle 16

\displaystyle 13

\displaystyle 14

\displaystyle 12

\displaystyle 15

Correct answer:

\displaystyle 12

Explanation:

When we have a set of something that we are splitting up into groups, we divide. In this case, we are splitting up cookies into containers. We have \displaystyle 76 cookies that we are dividing into containers. Each container holds \displaystyle 6 cookies, so we divide \displaystyle 76 by \displaystyle 6 to find out how many containers we can fill. We will let \displaystyle c represent the number of containers that we can fill. 

\displaystyle 76\div6=c

\displaystyle \frac{\begin{array}[b]{r} \ 12\\ 6{\overline{\smash{)}76}}\\ -\ 6\smash{\color{Red}\downarrow}\end{array}}{ \ \ \ \space \frac{\begin{array}[b]{r}1{\color{Red} 6\ \ }\\ -\ \ \ 12\ \ \end{array}}{ \ \ \space} }

                     \displaystyle 4

We drop the remainder of \displaystyle 4 because the question asks how many containers we can fill completely. 

Example Question #3811 : Numbers And Operations

Melissa is making holiday cookies. She made \displaystyle 96 cookies and she's going to put them into small containers to give out to her friends. Each container holds \displaystyle 9 cookies. How many containers can she fill completely? 

Possible Answers:

\displaystyle 11

\displaystyle 10

\displaystyle 12

\displaystyle 9

\displaystyle 13

Correct answer:

\displaystyle 10

Explanation:

When we have a set of something that we are splitting up into groups, we divide. In this case, we are splitting up cookies into containers. We have \displaystyle 96 cookies that we are dividing into containers. Each container holds \displaystyle 9 cookies, so we divide \displaystyle 96 by \displaystyle 9 to find out how many containers we can fill. We will let \displaystyle c represent the number of containers that we can fill. 

\displaystyle 96\div9=c

\displaystyle \frac{\begin{array}[b]{r} \ 10\\ 9{\overline{\smash{)}96}}\\ -\ 9\smash{\color{Red}\downarrow}\end{array}}{ \ \ \ \space \frac{\begin{array}[b]{r}0{\color{Red} 6\ \ }\\ -\ \ \ 0\ \ \end{array}}{ \ \ \ \space} }

                   \displaystyle 6

We drop the remainder of \displaystyle 6 because the question asks how many containers we can fill completely. 

Example Question #81 : Operations & Algebraic Thinking

\displaystyle 31 students are going on a field trip. \displaystyle 5 students can ride in each car. How many cars will they need for the field trip?

Possible Answers:

\displaystyle 6

\displaystyle 5

\displaystyle 4

\displaystyle 3

\displaystyle 7

Correct answer:

\displaystyle 7

Explanation:

When we have a set of something that we are splitting up into groups, we divide. In this case, we are dividing students up into cars. We will let \displaystyle c represent the number of cars they will need.

\displaystyle 31\div5=c

\displaystyle \frac{\begin{array}[b]{r} \ 6\\ 5{\overline{\smash{)}31}}\\ -\ 30\end{array}}{ \ \ \ \space}

           \displaystyle 1

Our answer is \displaystyle 6 with a remainder of \displaystyle 1. This means that they will have \displaystyle 6 full cars of \displaystyle 5 people, but there is \displaystyle 1 person left over. So they need \displaystyle 7 cars in order for every student to be in a car. 

Example Question #3533 : Operations

\displaystyle 63 students are going on a field trip. \displaystyle 5 students can ride in each car. How many cars will they need for the field trip?

Possible Answers:

\displaystyle 11

\displaystyle 9

\displaystyle 10

\displaystyle 12

\displaystyle 13

Correct answer:

\displaystyle 13

Explanation:

When we have a set of something that we are splitting up into groups, we divide. In this case, we are dividing students up into cars. We will let \displaystyle c represent the number of cars they will need.

\displaystyle 63\div5=c

\displaystyle \frac{\begin{array}[b]{r} \ 12\\ 5{\overline{\smash{)}63}}\\ -\ 60\end{array}}{ \ \ \ \ \ 3}

Our answer is \displaystyle 12 with a remainder of \displaystyle 3. This means that they will have \displaystyle 12 full cars of \displaystyle 5 people, but there are \displaystyle 3 people left over. So they need \displaystyle 13 cars in order for every student to be in a car. 

Example Question #81 : Common Core Math: Grade 4

\displaystyle 26 students are going on a field trip. \displaystyle 5 students can ride in each car. How many cars will they need for the field trip?

 

Possible Answers:

\displaystyle 6

\displaystyle 7

\displaystyle 8

\displaystyle 9

\displaystyle 5

Correct answer:

\displaystyle 6

Explanation:

When we have a set of something that we are splitting up into groups, we divide. In this case, we are dividing students up into cars. We will let \displaystyle c represent the number of cars they will need.

\displaystyle 26\div5=c

\displaystyle \frac{\begin{array}[b]{r} \ 5\\ 5{\overline{\smash{)}26}}\\ -\ 25\end{array}}{ \ \ \ \ \ 1}

           

Our answer is \displaystyle 5 with a remainder of \displaystyle 1. This means that they will have \displaystyle 5 full cars of \displaystyle 5 people, but there is \displaystyle 1 person left over. So they need \displaystyle 6 cars in order for every student to be in a car. 

Example Question #21 : Solve Multistep Word Problems Using The Four Operations: Ccss.Math.Content.4.Oa.A.3

\displaystyle 36 students are going on a field trip. \displaystyle 5 students can ride in each car. How many cars will they need for the field trip?

 

Possible Answers:

\displaystyle 5

\displaystyle 8

\displaystyle 6

\displaystyle 7

\displaystyle 4

Correct answer:

\displaystyle 8

Explanation:

When we have a set of something that we are splitting up into groups, we divide. In this case, we are dividing students up into cars. We will let \displaystyle c represent the number of cars they will need.

\displaystyle 36\div5=c

\displaystyle \frac{\begin{array}[b]{r} \ 7\\ 5{\overline{\smash{)}36}}\\ -\ 35\end{array}}{ \ \ \ \ \ 1}

     

Our answer is \displaystyle 7 with a remainder of \displaystyle 1. This means that they will have \displaystyle 7 full cars of \displaystyle 5 people, but there is \displaystyle 1 person left over. So they need \displaystyle 8 cars in order for every student to be in a car. 

Example Question #3537 : Operations

\displaystyle 46 students are going on a field trip. \displaystyle 4 students can ride in each car. How many cars will they need for the field trip?

Possible Answers:

\displaystyle 11

\displaystyle 9

\displaystyle 10

\displaystyle 13

\displaystyle 12

Correct answer:

\displaystyle 12

Explanation:

When we have a set of something that we are splitting up into groups, we divide. In this case, we are dividing students up into cars. We will let \displaystyle c represent the number of cars they will need.

\displaystyle 46\div4=c

\displaystyle \frac{\begin{array}[b]{r} \ 11\\ 4{\overline{\smash{)}46}}\\ -\ 44\end{array}}{ \ \ \ \ \ 2}     

Our answer is \displaystyle 11 with a remainder of \displaystyle 2. This means that they will have \displaystyle 11 full cars of \displaystyle 4 people, but there are \displaystyle 2 people left over. So they need \displaystyle 12 cars in order for every student to be in a car. 

Example Question #3538 : Operations

\displaystyle 18 students are going on a field trip. \displaystyle 4 students can ride in each car. How many cars will they need for the field trip?

Possible Answers:

\displaystyle 6

\displaystyle 4

\displaystyle 5

\displaystyle 8

\displaystyle 7

Correct answer:

\displaystyle 5

Explanation:

When we have a set of something that we are splitting up into groups, we divide. In this case, we are dividing students up into cars. We will let \displaystyle c represent the number of cars they will need.

\displaystyle 18\div4=c

\displaystyle \frac{\begin{array}[b]{r} \ 4\\ 4{\overline{\smash{)}18}}\\ -\ 16\end{array}}{ \ \ \ \ \ 2}     

Our answer is \displaystyle 4 with a remainder of \displaystyle 2. This means that they will have \displaystyle 4 full cars of \displaystyle 4 people, but there are \displaystyle 2 people left over. So they need \displaystyle 5 cars in order for every student to be in a car. 

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