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Common Core: 5th Grade Math : Common Core Math: Grade 5

Study concepts, example questions & explanations for Common Core: 5th Grade Math

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All Common Core: 5th Grade Math Resources

7 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #3 : Fluently Divide Multi Digit Whole Numbers: Ccss.Math.Content.5.Nbt.B.6

Solve:

$21{\overline{\smash{)}357}}$

Possible Answers:

Correct answer:

Explanation:

Before we begin, let's review the pieces of a division problem:

${\begin{array}[b]{r} \ \textup{ quotient}\\ \textup{ divisor}{\overline{\smash{)}\ \textup{dividend}}}\\\end{array}}{ \ \ \ \space}$

The quotient is the answer to the division problem. The dividend is the number that gets divided by the divisor.

One way to solve a division problem is to create an area model. The divisor equals the number of squares that make up the base of the area model. The dividend equals the number of total squares used. Fill the squares up from the base until you've used the correct number of squares. The height of the area model will be the quotient:

Another way to solve a division problem is to think of it as a multiplication problem. What number times the divisor equals the dividend?

$21\times$ __________ =357

$\frac{\begin{array}[b]{r}21\\ \times \ \ \ 17\end{array}}{\frac{\begin{array}[b]{r}{\color{black} 147}\\ \ +\ {\color{black} 210} \end{array}}{\ }} \\ {\ \ \ \ \ \ \ \ \ \ \ 357}$

This means that $21\times {\color{Red} 17}=357$ ; thus, ${\begin{array}[b]{r} \ \textup{ {\color{Red} 17}}\\ \textup{ 21}{\overline{\smash{)}\ \textup{357}}}\\\end{array}}{ \ \ \ \space}$

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Example Question #841 : Common Core Math: Grade 5

Solve:

$12{\overline{\smash{)}432}}$

Possible Answers:

Correct answer:

Explanation:

Before we begin, let's review the pieces of a division problem:

${\begin{array}[b]{r} \ \textup{ quotient}\\ \textup{ divisor}{\overline{\smash{)}\ \textup{dividend}}}\\\end{array}}{ \ \ \ \space}$

The quotient is the answer to the division problem. The dividend is the number that gets divided by the divisor.

Another way to solve a division problem is to think of it as a multiplication problem. What number times the divisor equals the dividend?

$12\times$ __________ =432

$\frac{\begin{array}[b]{r}36\\ \times \ \ \ 12\end{array}}{\frac{\begin{array}[b]{r}{\color{black} 72}\\ \ +\ {\color{black} 360} \end{array}}{\ }} \\ {\ \ \ \ \ \ \ \ \ \ \ 432}$

This means that $12\times {\color{Red} 36}=432$ ; thus, ${\begin{array}[b]{r} \ \textup{ {\color{Red} 36}}\\ \textup{ 12}{\overline{\smash{)}\ \textup{432}}}\\\end{array}}{ \ \ \ \space}$

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Example Question #4 : Fluently Divide Multi Digit Whole Numbers: Ccss.Math.Content.5.Nbt.B.6

Solve:

$33{\overline{\smash{)}759}}$

Possible Answers:

Correct answer:

Explanation:

Before we begin, let's review the pieces of a division problem:

${\begin{array}[b]{r} \ \textup{ quotient}\\ \textup{ divisor}{\overline{\smash{)}\ \textup{dividend}}}\\\end{array}}{ \ \ \ \space}$

The quotient is the answer to the division problem. The dividend is the number that gets divided by the divisor.

Another way to solve a division problem is to think of it as a multiplication problem. What number times the divisor equals the dividend?

$33\times$ __________ =759

$\frac{\begin{array}[b]{r}33\\ \times \ \ \ 23\end{array}}{\frac{\begin{array}[b]{r}{\color{black} 99}\\ \ +\ {\color{black} 660} \end{array}}{\ }} \\ {\ \ \ \ \ \ \ \ \ \ \ 759}$

This means that $33\times {\color{Red} 23}=759$ ; thus, ${\begin{array}[b]{r} \ \textup{ {\color{Red} 23}}\\ \textup{ 33}{\overline{\smash{)}\ \textup{759}}}\\\end{array}}{ \ \ \ \space}$

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Example Question #2 : Fluently Divide Multi Digit Whole Numbers: Ccss.Math.Content.5.Nbt.B.6

Solve:

$14{\overline{\smash{)}308}}$

Possible Answers:

Correct answer:

Explanation:

Before we begin, let's review the pieces of a division problem:

${\begin{array}[b]{r} \ \textup{ quotient}\\ \textup{ divisor}{\overline{\smash{)}\ \textup{dividend}}}\\\end{array}}{ \ \ \ \space}$

The quotient is the answer to the division problem. The dividend is the number that gets divided by the divisor.

Another way to solve a division problem is to think of it as a multiplication problem. What number times the divisor equals the dividend?

$14\times$ __________ =308

$\frac{\begin{array}[b]{r}14\\ \times \ \ \ 22\end{array}}{\frac{\begin{array}[b]{r}{\color{black} 28}\\ \ +\ {\color{black} 280} \end{array}}{\ }} \\ {\ \ \ \ \ \ \ \ \ \ \ 308}$

This means that $13\times {\color{Red} 22}=308$ ; thus, ${\begin{array}[b]{r} \ \textup{ {\color{Red} 22}}\\ \textup{ 14}{\overline{\smash{)}\ \textup{308}}}\\\end{array}}{ \ \ \ \space}$

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Example Question #662 : Number & Operations In Base Ten

Solve:

$43{\overline{\smash{)}1\textup,505}}$

Possible Answers:

Correct answer:

Explanation:

Before we begin, let's review the pieces of a division problem:

${\begin{array}[b]{r} \ \textup{ quotient}\\ \textup{ divisor}{\overline{\smash{)}\ \textup{dividend}}}\\\end{array}}{ \ \ \ \space}$

The quotient is the answer to the division problem. The dividend is the number that gets divided by the divisor.

Another way to solve a division problem is to think of it as a multiplication problem. What number times the divisor equals the dividend?

$43\times$ __________ =1,505

$\frac{\begin{array}[b]{r}43\\ \times \ \ \ 35\end{array}}{\frac{\begin{array}[b]{r}{\color{black} 215}\\ \ +\ {\color{black} 1290} \end{array}}{\ }} \\ {\ \ \ \ \ \ \ \ \ \ \ 1505}$

This means that $43\times {\color{Red} 35}=1\textup,505$ ; thus, ${\begin{array}[b]{r} \ \textup{ {\color{Red} 35}}\\ \textup{ 43}{\overline{\smash{)}\ \textup{1\textup,505}}}\\\end{array}}{ \ \ \ \space}$

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Example Question #663 : Number & Operations In Base Ten

Solve:

$40{\overline{\smash{)}400}}$

Possible Answers:

Correct answer:

Explanation:

Before we begin, let's review the pieces of a division problem:

${\begin{array}[b]{r} \ \textup{ quotient}\\ \textup{ divisor}{\overline{\smash{)}\ \textup{dividend}}}\\\end{array}}{ \ \ \ \space}$

The quotient is the answer to the division problem. The dividend is the number that gets divided by the divisor.

Another way to solve a division problem is to think of it as a multiplication problem. What number times the divisor equals the dividend?

$40\times$ __________ =400

$\frac{\begin{array}[b]{r}40\\ \times \ \ \ 10\end{array}}{\frac{\begin{array}[b]{r}{\color{black} 00}\\ \ +\ {\color{black} 400} \end{array}}{\ }} \\ {\ \ \ \ \ \ \ \ \ \ \ 400}$

This means that $40\times {\color{Red} 10}=400$ ; thus, ${\begin{array}[b]{r} \ \textup{ {\color{Red} 10}}\\ \textup{ 40}{\overline{\smash{)}\ \textup{400}}}\\\end{array}}{ \ \ \ \space}$

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Example Question #664 : Number & Operations In Base Ten

Solve:

$52{\overline{\smash{)}2\textup,236}}$

Possible Answers:

Correct answer:

Explanation:

Before we begin, let's review the pieces of a division problem:

${\begin{array}[b]{r} \ \textup{ quotient}\\ \textup{ divisor}{\overline{\smash{)}\ \textup{dividend}}}\\\end{array}}{ \ \ \ \space}$

The quotient is the answer to the division problem. The dividend is the number that gets divided by the divisor.

Another way to solve a division problem is to think of it as a multiplication problem. What number times the divisor equals the dividend?

$52\times$ __________ $=2\textup,236$

$\frac{\begin{array}[b]{r}52\\ \times \ \ \ 43\end{array}}{\frac{\begin{array}[b]{r}{\color{black} 156}\\ \ +\ {\color{black} 2080} \end{array}}{\ }} \\ {\ \ \ \ \ \ \ \ \ \ \ 2236}$

This means that $52\times {\color{Red} 43}=2\textup,236$ ; thus, ${\begin{array}[b]{r} \ \textup{ {\color{Red} 43}}\\ \textup{ 52}{\overline{\smash{)}\ \textup{2\textup,236}}}\\\end{array}}{ \ \ \ \space}$

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Example Question #665 : Number & Operations In Base Ten

Solve:

$56{\overline{\smash{)}952}}$

Possible Answers:

Correct answer:

Explanation:

Before we begin, let's review the pieces of a division problem:

${\begin{array}[b]{r} \ \textup{ quotient}\\ \textup{ divisor}{\overline{\smash{)}\ \textup{dividend}}}\\\end{array}}{ \ \ \ \space}$

The quotient is the answer to the division problem. The dividend is the number that gets divided by the divisor.

Another way to solve a division problem is to think of it as a multiplication problem. What number times the divisor equals the dividend?

$56\times$ __________ =952

$\frac{\begin{array}[b]{r}56\\ \times \ \ \ 17\end{array}}{\frac{\begin{array}[b]{r}{\color{black} 392}\\ \ +\ {\color{black} 560} \end{array}}{\ }} \\ {\ \ \ \ \ \ \ \ \ \ \ 952}$

This means that $56\times {\color{Red} 17}=952$ ; thus, ${\begin{array}[b]{r} \ \textup{ {\color{Red} 17}}\\ \textup{ 56}{\overline{\smash{)}\ \textup{952}}}\\\end{array}}{ \ \ \ \space}$

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Example Question #11 : Fluently Divide Multi Digit Whole Numbers: Ccss.Math.Content.5.Nbt.B.6

Solve:

$47{\overline{\smash{)}564}}$

Possible Answers:

Correct answer:

Explanation:

Before we begin, let's review the pieces of a division problem:

${\begin{array}[b]{r} \ \textup{ quotient}\\ \textup{ divisor}{\overline{\smash{)}\ \textup{dividend}}}\\\end{array}}{ \ \ \ \space}$

The quotient is the answer to the division problem. The dividend is the number that gets divided by the divisor.

Another way to solve a division problem is to think of it as a multiplication problem. What number times the divisor equals the dividend?

$47\times$ __________ =564

$\frac{\begin{array}[b]{r}47\\ \times \ \ \ 12\end{array}}{\frac{\begin{array}[b]{r}{\color{black} 94}\\ \ +\ {\color{black} 470} \end{array}}{\ }} \\ {\ \ \ \ \ \ \ \ \ \ \ 564}$

This means that $47\times {\color{Red} 12}=564$ ; thus, ${\begin{array}[b]{r} \ \textup{ {\color{Red} 12}}\\ \textup{ 47}{\overline{\smash{)}\ \textup{564}}}\\\end{array}}{ \ \ \ \space}$

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Example Question #12 : Fluently Divide Multi Digit Whole Numbers: Ccss.Math.Content.5.Nbt.B.6

Solve:

$15{\overline{\smash{)}165}}$

Possible Answers:

Correct answer:

Explanation:

Before we begin, let's review the pieces of a division problem:

${\begin{array}[b]{r} \ \textup{ quotient}\\ \textup{ divisor}{\overline{\smash{)}\ \textup{dividend}}}\\\end{array}}{ \ \ \ \space}$

The quotient is the answer to the division problem. The dividend is the number that gets divided by the divisor.

Another way to solve a division problem is to think of it as a multiplication problem. What number times the divisor equals the dividend?

$15\times$ __________ =165

$\frac{\begin{array}[b]{r}15\\ \times \ \ \ 11\end{array}}{\frac{\begin{array}[b]{r}{\color{black} 15}\\ \ +\ {\color{black} 150} \end{array}}{\ }} \\ {\ \ \ \ \ \ \ \ \ \ \ 165}$

This means that $15\times {\color{Red} 11}=165$ ; thus, ${\begin{array}[b]{r} \ \textup{ {\color{Red} 11}}\\ \textup{ 15}{\overline{\smash{)}\ \textup{165}}}\\\end{array}}{ \ \ \ \space}$

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All Common Core: 5th Grade Math Resources

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Common Core: 5th Grade Math : Common Core Math: Grade 5

Study concepts, example questions & explanations for Common Core: 5th Grade Math

All Common Core: 5th Grade Math Resources

Example Questions

Example Question #3 : Fluently Divide Multi Digit Whole Numbers: Ccss.Math.Content.5.Nbt.B.6

Example Question #841 : Common Core Math: Grade 5

Example Question #4 : Fluently Divide Multi Digit Whole Numbers: Ccss.Math.Content.5.Nbt.B.6

Example Question #2 : Fluently Divide Multi Digit Whole Numbers: Ccss.Math.Content.5.Nbt.B.6

Example Question #662 : Number & Operations In Base Ten

Example Question #663 : Number & Operations In Base Ten

Example Question #664 : Number & Operations In Base Ten

Example Question #665 : Number & Operations In Base Ten

Example Question #11 : Fluently Divide Multi Digit Whole Numbers: Ccss.Math.Content.5.Nbt.B.6

Example Question #12 : Fluently Divide Multi Digit Whole Numbers: Ccss.Math.Content.5.Nbt.B.6

All Common Core: 5th Grade Math Resources

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