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Common Core: 4th Grade Math : Use place value understanding and properties of operations to perform multi-digit arithmetic

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 #4 : Adding Multi Digit Numbers

Solve:

$\frac{\begin{array}[b]{r}700\\ +\ 224\end{array}}{\space }$

Possible Answers:

923

924

922

925

Correct answer:

924

Explanation:

When we add with multi-digit numbers, we start with the numbers in the ones place, and then move to the left to the tens place, followed by the hundreds place.

Add the numbers in the ones place:

0+4=4

Add the numbers in the tens place:

0+2=2

Add the numbers in the hundreds place:

7+2=9

Your final answer should be 924:

$\frac{\begin{array}[b]{r}700\\ +\ 224\end{array}}{\ \ \ 924 }$

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Example Question #5 : Adding Multi Digit Numbers

Solve:

$\frac{\begin{array}[b]{r}469\\ +\ 323\end{array}}{\space }$

Possible Answers:

791

790

793

792

Correct answer:

792

Explanation:

When we add with multi-digit numbers, we start with the numbers in the ones place, and then move to the left to the tens place, followed by the hundreds place.

Add the numbers in the ones place:

9+3=12

Because this sum is greater than , we write the from the ones place and carry the from the tens place over to the left. Your work should look something like this:

$\frac{\begin{array}[b]{r}4^{{\color{Red} 1}}6\ 9\\ +\ 3\ 2\ 3\end{array}}{\ \ \ \ \ \ \ \ 2 }$

Add the numbers in the tens place, including the that was carried over:

1+6+2=9

Add the numbers in the hundreds place:

4+3=7

Your final answer should be 792:

$\frac{\begin{array}[b]{r}469\\ +\ 323\end{array}}{\ \ \ 792 }$

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Example Question #41 : Use Place Value Understanding And Properties Of Operations To Perform Multi Digit Arithmetic

Solve:

$\frac{\begin{array}[b]{r}428\\ +\ 548\end{array}}{\space }$

Possible Answers:

973

974

975

976

Correct answer:

976

Explanation:

When we add with multi-digit numbers, we start with the numbers in the ones place, and then move to the left to the tens place, followed by the hundreds place.

Add the numbers in the ones place:

8+8=16

Because this sum is greater than , we write the from the ones place and carry the from the tens place over to the left. Your work should look something like this:

$\frac{\begin{array}[b]{r}4^{{\color{Red} 1}}2\ 8\\ +\ 5\ 4\ 8\end{array}}{\ \ \ \ \ \ \ \ 6 }$

Add the numbers in the tens place, including the that was carried over:

1+2+4=7

Add the numbers in the hundreds place:

4+5=9

Your final answer should be 976:

$\frac{\begin{array}[b]{r}428\\ +\ 548\end{array}}{\ \ \ 976}$

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Example Question #6 : Adding Multi Digit Numbers

Solve:

$\frac{\begin{array}[b]{r}707\\ +\ 328\end{array}}{\space }$

Possible Answers:

$1\textup,037$

$1\textup,035$

$1\textup,036$

$1\textup,034$

Correct answer:

$1\textup,035$

Explanation:

When we add with multi-digit numbers, we start with the numbers in the ones place, and then move to the left to the tens place, followed by the hundreds place.

Add the numbers in the ones place:

7+8=15

Because this sum is greater than , we write the from the ones place and carry the from the tens place over to the left. Your work should look something like this:

$\frac{\begin{array}[b]{r}7^{{\color{Red} 1}}0\ 7\\ +\ 3\ 2\ 8\end{array}}{\ \ \ \ \ \ \ \ 5 }$

Add the numbers in the tens place, including the that was carried over:

1+0+2=3

Add the numbers in the hundreds place:

7+3=10

Your final answer should be 1035:

$\frac{\begin{array}[b]{r}707\\ +\ 328\end{array}}{\ \ 1035}$

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Example Question #42 : Use Place Value Understanding And Properties Of Operations To Perform Multi Digit Arithmetic

Solve:

$\frac{\begin{array}[b]{r}411\\ +\ 221\end{array}}{\space }$

Possible Answers:

632

634

635

633

Correct answer:

632

Explanation:

When we add with multi-digit numbers, we start with the numbers in the ones place, and then move to the left to the tens place, followed by the hundreds place.

Add the numbers in the ones place:

1+1=2

Add the numbers in the tens place:

1+2=3

Add the numbers in the hundreds place:

4+2=4

Your final answer should be 632:

$\frac{\begin{array}[b]{r}411\\ +\ 221\end{array}}{\ \ \ 632}$

Report an Error

Example Question #43 : Use Place Value Understanding And Properties Of Operations To Perform Multi Digit Arithmetic

Solve the following:

$\frac{\begin{array}[b]{r}935\\ +\ 204\end{array}}{\space }$

Possible Answers:

$1\textup,136$

$1\textup,137$

$1\textup,138$

$1\textup,139$

Correct answer:

$1\textup,139$

Explanation:

When we add with multi-digit numbers, we start with the numbers in the ones place, and then move to the left to the tens place, followed by the hundreds place.

Add the numbers in the ones place:

5+4=9

Add the numbers in the tens place:

3+0=3

Add the numbers in the hundreds place:

9+2=11

Your final answer should be 1139:

$\frac{\begin{array}[b]{r}935\\ +\ 204\end{array}}{\ \ 1139 }$

Report an Error

Example Question #11 : Adding Multi Digit Numbers

Solve:

$\frac{\begin{array}[b]{r}430\\ +\ 726\end{array}}{\space }$

Possible Answers:

$1\textup,158$

$1\textup,156$

$1\textup,159$

$1\textup,157$

Correct answer:

$1\textup,156$

Explanation:

When we add with multi-digit numbers, we start with the numbers in the ones place, and then move to the left to the tens place, followed by the hundreds place.

Add the numbers in the ones place:

0+6=6

Add the numbers in the tens place:

3+2=5

Add the numbers in the hundreds place:

4+7=11

Your final answer should be 1156:

$\frac{\begin{array}[b]{r}430\\ +\ 726\end{array}}{\ \ 1156 }$

Report an Error

Example Question #251 : Number & Operations In Base Ten

Solve:

$\frac{\begin{array}[b]{r}328\\ +\ 628\end{array}}{\space }$

Possible Answers:

951

$1\textup,156$

956

958

Correct answer:

956

Explanation:

When we add with multi-digit numbers, we start with the numbers in the ones place, and then move to the left to the tens place, followed by the hundreds place.

Add the numbers in the ones place:

8+8=16

Because this sum is greater than , we write the from the ones place and carry the from he tens place over to the left. Your work should look something like this:

$\frac{\begin{array}[b]{r}3^{{\color{Red} 1}}2\ 8\\ +\ 6\ 2\ 8\end{array}}{\ \ \ \ \ \ \ \ 6 }$

Add the numbers in the tens place, including the that was carried over:

1+2+2=5

Add the numbers in the hundreds place:

3+6=9

Your final answer should be 956:

$\frac{\begin{array}[b]{r}528\\ +\ 628\end{array}}{\ \ 956 }$

Report an Error

Example Question #1 : Subtracting Multi Digit Numbers

Solve:

$\frac{\begin{array}[b]{r}923\\ -\ 290\end{array}}{\space }$

Possible Answers:

636

635

633

634

Correct answer:

633

Explanation:

When we subtract multi-digit numbers, we start with the digits in the ones place and move to the left.

Let's look at the numbers in the ones place:

$\frac{\begin{array}[b]{r}3\\ -\ 0\end{array}}{\ \ \ 3 }$

Next, let's look at the numbers in the tens place:

$\frac{\begin{array}[b]{r}2\\ -\ 9\end{array}}{\ \ \ }$

When the top number is smaller than the bottom number, we have to borrow from the number to the left because we can't take away from since is the smaller number. In this case, we are going to look to the . We only ever need to take away from the number to the left. For this problem, that will leave us with a to replace the . So far, your work should look something like this:

$\frac{\begin{array}[b]{r}^{8} \not920\\ -\ 290\end{array}}{\space }$

Remember, we've borrowed from the hundreds place, so we can put a in front of the number in the tens place. So far, your work should look something like this:

$\frac{\begin{array}[b]{r}^{8} \not9\ ^{12}\not2\ \ \ \ \ 3\\ -\ 2 \ \ \ \ \ 9\ \ \ \ \ 0\end{array}}{\space }$

Now, we can subtract the numbers in the tens place:

$\frac{\begin{array}[b]{r}12\\ -\ 9\end{array}}{\ \ \ 3}$

Next, we can subtract the numbers in the hundreds place:

$\frac{\begin{array}[b]{r}8\\ -\ 2\end{array}}{\ \ \ 6}$

Your final answer should be 633

$\frac{\begin{array}[b]{r}^{8} \not9\ ^{12}\not2\ \ \ \ \ 3\\ -\ 2 \ \ \ \ \ 9\ \ \ \ \ 0\end{array}}{\ \ \ 6 \ \ \ \ \ 3\ \ \ \ \ 3}$

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Example Question #2 : Subtracting Multi Digit Numbers

Solve:

$\frac{\begin{array}[b]{r}784\\ -\ 347\end{array}}{\space }$

Possible Answers:

435

436

437

434

Correct answer:

437

Explanation:

When we subtract multi-digit numbers, we start with the digits in the ones place and move to the left.

Let's look at the numbers in the ones place:

$\frac{\begin{array}[b]{r}4\\ -\ 7\end{array}}{\ \ \ }$

$\frac{\begin{array}[b]{r}7 ^{7}\not8 \ \ \ 4\\ -\ 3\ \ \ 4\ \ \ 7\end{array}}{\space }$

Remember, we've borrowed from the tens place, so we can put a in front of the number in the ones place. So far, your work should look something like this:

$\frac{\begin{array}[b]{r}6 ^{7}\not8 \ ^{14}\not4\\ -\ 3 \ \ \ 4\ \ \ \ \ 7\end{array}}{\space }$

Now, let's subtract the numbers in the ones place:

$\frac{\begin{array}[b]{r}14\\ -\ 7\end{array}}{\ \ \ 7 }$

Next, let's look at the numbers in the tens place:

$\frac{\begin{array}[b]{r}7\\ -\ 4\end{array}}{\ \ \ 3 }$

Finally, we can subtract the numbers in the hundreds place:

$\frac{\begin{array}[b]{r}7\\ -\ 3\end{array}}{\ \ \ 4}$

Your final answer should be 437

$\frac{\begin{array}[b]{r}7 ^{7}\not8 \ ^{14}\not4\\ -\ 3 \ \ \ 4\ \ \ \ \ 7\end{array}}{\ \ \ 4\ \ \ 3\ \ \ \ 7 }$

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Common Core: 4th Grade Math : Use place value understanding and properties of operations to perform multi-digit arithmetic

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

All Common Core: 4th Grade Math Resources

Example Questions

Example Question #4 : Adding Multi Digit Numbers

Example Question #5 : Adding Multi Digit Numbers

Example Question #41 : Use Place Value Understanding And Properties Of Operations To Perform Multi Digit Arithmetic

Example Question #6 : Adding Multi Digit Numbers

Example Question #42 : Use Place Value Understanding And Properties Of Operations To Perform Multi Digit Arithmetic

Example Question #43 : Use Place Value Understanding And Properties Of Operations To Perform Multi Digit Arithmetic

Example Question #11 : Adding Multi Digit Numbers

Example Question #251 : Number & Operations In Base Ten

Example Question #1 : Subtracting Multi Digit Numbers

Example Question #2 : Subtracting Multi Digit Numbers

All Common Core: 4th Grade Math Resources

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