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Common Core: 4th Grade Math : Number & Operations in Base Ten

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

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All Common Core: 4th Grade Math Resources

7 Diagnostic Tests 189 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #352 : How To Find The Part From The Whole

Round 179 to the nearest ten.

Possible Answers:

170

210

200

180

190

Correct answer:

180

Explanation:

When we round a number to the nearest ten we look to the ones place to tell us if we round up or down.

$17{\color{Blue} 9}$

If the number in our ones place is or greater, we round up. If the number in the ones place is or less, we round down. When we round up, the number in the tens place increases by and all the other numbers to the right become . When we round down, the number in the tens place stays the same and all the other numbers to the right become .

In this case, is greater than so our rounded number is 180

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Example Question #441 : Identifying Place Value

Round $534\textup,267$ to the nearest ten.

Possible Answers:

$540\textup,000$

$534\textup,260$

$530\textup,000$

$534\textup,270$

$534\textup,200$

Correct answer:

$534\textup,270$

Explanation:

When we round a number to the nearest ten we look to the ones place to tell us if we round up or down.

$534\textup,26{\color{Blue} 7}$

In this case, is greater than so our rounded number is $534\textup,270$

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Example Question #201 : Generalize Place Value Understanding For Multi Digit Whole Numbers

Round $4\textup,124$ to the nearest hundred.

Possible Answers:

$4\textup,100$

$4\textup,000$

$3\textup,124$

$3\textup,100$

$4\textup,200$

Correct answer:

$4\textup,100$

Explanation:

When we round a number to the nearest hundred we look to the tens place to tell us if we round up or down.

$4\textup,1{\color{Blue} 2}4$

If the number in our tens place is or greater, we round up. If the number in the tens place is or less, we round down. When we round up, the number in the hundreds place increases by and all the other numbers to the right become . When we round down, the number in the hundreds place stays the same and all the other numbers to the right become .

In this case, is less than so our rounded number is $4\textup,100$

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Example Question #1 : Use Place Value Understanding And Properties Of Operations To Perform Multi Digit Arithmetic

Solve:

$\frac{\begin{array}[b]{r}10\\ \times\ 2\end{array}}{\space }$

Possible Answers:

Correct answer:

Explanation:

We can make a rectangular array using squares to help us solve this problem. Our multiplication problem is $10\times 2$ ; therefore, the rectangular array should have squares across the top row and squares down the first column. The rectangular array should look like the image below:

Screen shot 2016 05 18 at 10.32.59 am

We can count the squares to find our answer. The correct answer is is

In order to solve this problem using multiplication, we must multiply the multiplier by each digit of the multiplicand to get the answer, which is called the product.

$\frac{\begin{array}[b]{r}\textup{multiplicand}\\ \times\ \ \ \ \textup{multiplier}\end{array}}{\ \ \ \ \textup{product}}$

For this problem, is the multiplier and is the multiplicand.

First, we multiply and

$\frac{\begin{array}[b]{r}1{\color{Red} 0}\\ \times\ {\color{Red} 2}\end{array}}{\ \ \ \ 0}$

Next, we multiply and

$\frac{\begin{array}[b]{r}{\color{Red} 1}0\\ \times\ {\color{Red} 2}\end{array}}{\ \ \ 20}$

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Example Question #1 : Multiply Multi Digit Numbers: Ccss.Math.Content.4.Nbt.B.5

Solve:

$\frac{\begin{array}[b]{r}10\\ \times\ 3\end{array}}{\space }$

Possible Answers:

Correct answer:

Explanation:

We can make a rectangular array using squares to help us solve this problem. Our multiplication problem is $10\times 3$ ; therefore, the rectangular array should have squares across the top row and squares down the first column. The rectangular array should look like the image below:

Screen shot 2016 05 18 at 11.07.48 am

We can count the squares to find our answer. The correct answer is is

In order to solve this problem using multiplication, we must multiply the multiplier by each digit of the multiplicand to get the answer, which is called the product.

$\frac{\begin{array}[b]{r}\textup{multiplicand}\\ \times\ \ \ \ \textup{multiplier}\end{array}}{\ \ \ \ \textup{product}}$

For this problem, is the multiplier and is the multiplicand.

First, we multiply and

$\frac{\begin{array}[b]{r}1{\color{Red} 0}\\ \times\ {\color{Red} 3}\end{array}}{\ \ \ \ 0}$

Next, we multiply and

$\frac{\begin{array}[b]{r}{\color{Red} 1}0\\ \times\ {\color{Red} 3}\end{array}}{\ \ \ 30}$

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Example Question #1 : Whole Numbers

Solve:

$\frac{\begin{array}[b]{r}10\\ \times\ 4\end{array}}{\space }$

Possible Answers:

Correct answer:

Explanation:

We can make a rectangular array using squares to help us solve this problem. Our multiplication problem is $10\times 4$ ; therefore, the rectangular array should have squares across the top row and squares down the first column. The rectangular array should look like the image below:

Screen shot 2016 05 18 at 12.00.41 pm

We can count the squares to find our answer. The correct answer is is

In order to solve this problem using multiplication, we must multiply the multiplier by each digit of the multiplicand to get the answer, which is called the product.

$\frac{\begin{array}[b]{r}\textup{multiplicand}\\ \times\ \ \ \ \textup{multiplier}\end{array}}{\ \ \ \ \textup{product}}$

For this problem, is the multiplier and is the multiplicand.

First, we multiply and

$\frac{\begin{array}[b]{r}1{\color{Red} 0}\\ \times\ {\color{Red} 4}\end{array}}{\ \ \ \ 0}$

Next, we multiply and

$\frac{\begin{array}[b]{r}{\color{Red} 1}0\\ \times\ {\color{Red} 4}\end{array}}{\ \ \ 40}$

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Example Question #2 : Use Place Value Understanding And Properties Of Operations To Perform Multi Digit Arithmetic

Solve:

$\frac{\begin{array}[b]{r}11\\ \times\ 5\end{array}}{\space }$

Possible Answers:

Correct answer:

Explanation:

We can make a rectangular array using squares to help us solve this problem. Our multiplication problem is $11\times 5$ ; therefore, the rectangular array should have squares across the top row and squares down the first column. The rectangular array should look like the image below:

Screen shot 2016 05 18 at 12.14.20 pm

We can count the squares to find our answer. The correct answer is is

In order to solve this problem using multiplication, we must multiply the multiplier by each digit of the multiplicand to get the answer, which is called the product.

$\frac{\begin{array}[b]{r}\textup{multiplicand}\\ \times\ \ \ \ \textup{multiplier}\end{array}}{\ \ \ \ \textup{product}}$

For this problem, is the multiplier and is the multiplicand.

First, we multiply and

$\frac{\begin{array}[b]{r}1{\color{Red} 1}\\ \times\ {\color{Red} 5}\end{array}}{\ \ \ \ 5}$

Next, we multiply and

$\frac{\begin{array}[b]{r}{\color{Red} 1}1\\ \times\ {\color{Red} 5}\end{array}}{\ \ \ 55}$

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Example Question #3 : Use Place Value Understanding And Properties Of Operations To Perform Multi Digit Arithmetic

Solve:

$\frac{\begin{array}[b]{r}11\\ \times\ 4\end{array}}{\space }$

Possible Answers:

Correct answer:

Explanation:

We can make a rectangular array using squares to help us solve this problem. Our multiplication problem is $11\times 4$ ; therefore, the rectangular array should have squares across the top row and squares down the first column. The rectangular array should look like the image below:

Screen shot 2016 05 18 at 12.31.20 pm

We can count the squares to find our answer. The correct answer is is

In order to solve this problem using multiplication, we must multiply the multiplier by each digit of the multiplicand to get the answer, which is called the product.

$\frac{\begin{array}[b]{r}\textup{multiplicand}\\ \times\ \ \ \ \textup{multiplier}\end{array}}{\ \ \ \ \textup{product}}$

For this problem, is the multiplier and is the multiplicand.

First, we multiply and

$\frac{\begin{array}[b]{r}1{\color{Red} 1}\\ \times\ {\color{Red} 4}\end{array}}{\ \ \ \ 4}$

Next, we multiply and

$\frac{\begin{array}[b]{r}{\color{Red} 1}1\\ \times\ {\color{Red} 4}\end{array}}{\ \ \ 44}$

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Example Question #3 : Use Place Value Understanding And Properties Of Operations To Perform Multi Digit Arithmetic

Solve:

$\frac{\begin{array}[b]{r}12\\ \times\ 4\end{array}}{\space }$

Possible Answers:

Correct answer:

Explanation:

We can make a rectangular array using squares to help us solve this problem. Our multiplication problem is $12\times 4$ ; therefore, the rectangular array should have squares across the top row and squares down the first column. The rectangular array should look like the image below:

Screen shot 2016 05 18 at 12.36.48 pm

We can count the squares to find our answer. The correct answer is is

In order to solve this problem using multiplication, we must multiply the multiplier by each digit of the multiplicand to get the answer, which is called the product.

$\frac{\begin{array}[b]{r}\textup{multiplicand}\\ \times\ \ \ \ \textup{multiplier}\end{array}}{\ \ \ \ \textup{product}}$

For this problem, is the multiplier and is the multiplicand.

First, we multiply and

$\frac{\begin{array}[b]{r}1{\color{Red} 2}\\ \times\ {\color{Red} 4}\end{array}}{\ \ \ \ 8}$

Next, we multiply and

$\frac{\begin{array}[b]{r}{\color{Red} 1}2\\ \times\ {\color{Red} 4}\end{array}}{\ \ \ 48}$

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Example Question #4 : Multiply Multi Digit Numbers: Ccss.Math.Content.4.Nbt.B.5

Solve:

$\frac{\begin{array}[b]{r}12\\ \times\ 5\end{array}}{\space }$

Possible Answers:

Correct answer:

Explanation:

We can make a rectangular array using squares to help us solve this problem. Our multiplication problem is $12\times 5$ ; therefore, the rectangular array should have squares across the top row and squares down the first column. The rectangular array should look like the image below:

Screen shot 2016 05 18 at 12.45.25 pm

We can count the squares to find our answer. The correct answer is is

In order to solve this problem using multiplication, we must multiply the multiplier by each digit of the multiplicand to get the answer, which is called the product.

$\frac{\begin{array}[b]{r}\textup{multiplicand}\\ \times\ \ \ \ \textup{multiplier}\end{array}}{\ \ \ \ \textup{product}}$

For this problem, is the multiplier and is the multiplicand.

First, we multiply and

$\frac{\begin{array}[b]{r}^11{\color{Red} 2}\\ \times\ {\color{Red} 5}\end{array}}{\ \ \ \ 0}$

Because the product is greater than , we carry the and add it to the next product.

Next, we multiply and and then add the we carried.

$\frac{\begin{array}[b]{r}^1{\color{Red} 1}2\\ \times\ {\color{Red} 5}\end{array}}{\ \ \ 60}$

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All Common Core: 4th Grade Math Resources

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Common Core: 4th Grade Math : Number & Operations in Base Ten

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

All Common Core: 4th Grade Math Resources

Example Questions

Example Question #352 : How To Find The Part From The Whole

Example Question #441 : Identifying Place Value

Example Question #201 : Generalize Place Value Understanding For Multi Digit Whole Numbers

Example Question #1 : Use Place Value Understanding And Properties Of Operations To Perform Multi Digit Arithmetic

Example Question #1 : Multiply Multi Digit Numbers: Ccss.Math.Content.4.Nbt.B.5

Example Question #1 : Whole Numbers

Example Question #2 : Use Place Value Understanding And Properties Of Operations To Perform Multi Digit Arithmetic

Example Question #3 : Use Place Value Understanding And Properties Of Operations To Perform Multi Digit Arithmetic

Example Question #3 : Use Place Value Understanding And Properties Of Operations To Perform Multi Digit Arithmetic

Example Question #4 : Multiply Multi Digit Numbers: Ccss.Math.Content.4.Nbt.B.5

All Common Core: 4th Grade Math Resources

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