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Common Core: 5th Grade Math : Number & Operations in Base Ten

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

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All Common Core: 5th Grade Math Resources

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Example Questions

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.

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?

$14\times$ __________ =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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Example Question #851 : Common Core Math: Grade 5

Solve:

$30{\overline{\smash{)}600}}$

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.

$30\times$ __________ =600

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

$\frac{\begin{array}[b]{r}30\\ \times \ \ \ 20\end{array}}{\frac{\begin{array}[b]{r}{\color{Red} 00}\\ \ +\ {\color{Red} 600} \end{array}}{\ }} \\ {\ \ \ \ \ \ \ \ \ \ \ 600}$

This means that $13\times {\color{Red} 20}=600$ ; thus, ${\begin{array}[b]{r} \ \textup{ {\color{Red} 20}}\\ \textup{ 30}{\overline{\smash{)}\ \textup{600}}}\\\end{array}}{ \ \ \ \space}$

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Example Question #1 : Add, Subtract, Multiply, And Divide Decimals To Hundredths: Ccss.Math.Content.5.Nbt.B.7

$3.04+6.02\times 3-0.16=$

Possible Answers:

20.94

27.4

6.98

18.3

Correct answer:

20.94

Explanation:

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Example Question #1 : Divide Decimals

Divide:

$.8\div.4$

Possible Answers:

Correct answer:

Explanation:

We can use base ten blocks to help us solve this problem. First, we want to use base ten blocks to represent

Screen shot 2020 07 01 at 7.59.46 pm

Because we are dividing by , we need to split up our into groups of

Screen shot 2020 07 01 at 8.01.10 pm

As you can see, we have groups. Thus the answer is .

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Common Core: 5th Grade Math : Number & Operations in Base Ten

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

All Common Core: 5th Grade Math Resources

Example Questions

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

Example Question #851 : Common Core Math: Grade 5

Example Question #1 : Add, Subtract, Multiply, And Divide Decimals To Hundredths: Ccss.Math.Content.5.Nbt.B.7

Example Question #1 : Divide Decimals

All Common Core: 5th Grade Math Resources

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