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Common Core: 3rd Grade Math : Common Core Math: Grade 3

Study concepts, example questions & explanations for Common Core: 3rd Grade Math

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All Common Core: 3rd Grade Math Resources

7 Diagnostic Tests 226 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #21 : Adding Within 1000

Solve:

$\frac{\begin{array}[b]{r}328\\ +\ 548\end{array}}{\space }$

Possible Answers:

877

876

878

879

Correct answer:

876

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:

$\frac{\begin{array}[b]{r}3^{{\color{Red} 1}}2\ 8\\ +\ 5\ 4\ 8\end{array}}{\ \ \ \ \ \ \ \ 6 }$

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

1+2+4=7

Add the numbers in the hundreds place:

3+5=8

Your final answer should be 876:

$\frac{\begin{array}[b]{r}328\\ +\ 548\end{array}}{\ \ \ 876}$

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Example Question #22 : Adding Within 1000

Solve:

$\frac{\begin{array}[b]{r}607\\ +\ 328\end{array}}{\space }$

Possible Answers:

936

934

935

933

Correct answer:

935

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:

$\frac{\begin{array}[b]{r}6^{{\color{Red} 1}}0\ 7\\ +\ 3\ 2\ 8\end{array}}{\ \ \ \ \ \ \ \ 5 }$

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

1+0+2=3

Add the numbers in the hundreds place:

6+3=9

Your final answer should be 935:

$\frac{\begin{array}[b]{r}607\\ +\ 328\end{array}}{\ \ \ 935}$

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Example Question #23 : Adding Within 1000

Solve:

$\frac{\begin{array}[b]{r}311\\ +\ 221\end{array}}{\space }$

Possible Answers:

531

534

532

533

Correct answer:

532

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:

3+2=5

Your final answer should be 532:

$\frac{\begin{array}[b]{r}311\\ +\ 221\end{array}}{\ \ \ 532}$

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Example Question #24 : Adding Within 1000

Solve the following:

$\frac{\begin{array}[b]{r}412\\ +\ 496\end{array}}{\space }$

Possible Answers:

908

907

909

906

Correct answer:

908

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:

2+6=8

Add the numbers in the tens place:

1+9=10

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:

$\frac{\begin{array}[b]{r}^{{\color{Red} 1}}412\\ +\ 496\end{array}}{\ \ \ \ \ 08 }$

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

1+4+4=9

Your final answer should be 908:

$\frac{\begin{array}[b]{r}^{1}412\\ +\ 496\end{array}}{\ \ \ \ 908 }$

Report an Error

Example Question #1 : Subtracting Within 1000

Solve:

$\frac{\begin{array}[b]{r}921\\ -\ 290\end{array}}{\space }$

Possible Answers:

633

631

632

630

Correct answer:

631

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:

$\frac{\begin{array}[b]{r}1\\ -\ 0\end{array}}{\ \ \ 1 }$

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:

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

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 631

$\frac{\begin{array}[b]{r}^{8} \not9\ ^{12}\not2\ \ \ \ \ 1\\ -\ 2 \ \ \ \ \ 9\ \ \ \ \ 0\end{array}}{\ \ \ 6 \ \ \ \ \ 3\ \ \ \ \ 1}$

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Example Question #2 : Subtracting Within 1000

Solve:

$\frac{\begin{array}[b]{r}684\\ -\ 347\end{array}}{\space }$

Possible Answers:

337

335

334

336

Correct answer:

337

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:

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

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

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:

$\frac{\begin{array}[b]{r}6\\ -\ 3\end{array}}{\ \ \ 3}$

Your final answer should be 337

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

Report an Error

Example Question #3 : Subtracting Within 1000

Solve:

$\frac{\begin{array}[b]{r}317\\ -\ 250\end{array}}{\space }$

Possible Answers:

Correct answer:

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:

$\frac{\begin{array}[b]{r}7\\ -\ 0\end{array}}{\ \ \ 7 }$

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

$\frac{\begin{array}[b]{r}1\\ -\ 5\end{array}}{\ \ \ }$

$\frac{\begin{array}[b]{r}^{2} \not317\\ -\ 250\end{array}}{\space }$

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:

$\frac{\begin{array}[b]{r}^{2} \not3\ ^{11}\not1\ \ \ \ \ 7\\ -\ 2 \ \ \ \ \ 5\ \ \ \ \ 0\end{array}}{\space }$

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

$\frac{\begin{array}[b]{r}11\\ -\ 5\end{array}}{\ \ \ 6}$

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

$\frac{\begin{array}[b]{r}2\\ -\ 2\end{array}}{\ \ \ 0}$

Your final answer should be

$\frac{\begin{array}[b]{r}^{2} \not3\ ^{11}\not1\ \ \ \ \ 7\\ -\ 2 \ \ \ \ \ 5\ \ \ \ \ 0\end{array}}{\ \ \ \ \ \ \ \ \ \ 6\ \ \ \ \ 7}$

Report an Error

Example Question #4 : Subtracting Within 1000

Solve:

$\frac{\begin{array}[b]{r}326\\ -\ 289\end{array}}{\space }$

Possible Answers:

Correct answer:

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:

$\frac{\begin{array}[b]{r}6\\ -\ 9\end{array}}{\ \ \ }$

$\frac{\begin{array}[b]{r}3 ^{1}\not2 \ \ \ 6\\ -\ 2\ \ \ 8\ \ \ 9\end{array}}{\space }$

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:

$\frac{\begin{array}[b]{r}3 ^{1}\not2 \ ^{16}\not6\\ -\ 2 \ \ \ 8\ \ \ \ \ 9\end{array}}{\space }$

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

$\frac{\begin{array}[b]{r}16\\ -\ 9\end{array}}{\ \ \ 7 }$

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

$\frac{\begin{array}[b]{r}1\\ -\ 8\end{array}}{\ \ \ }$

$\frac{\begin{array}[b]{r}^{2}\not3 ^{1}\not2 \ ^{16}\not6\\ -\ 2 \ \ \ 8\ \ \ \ \ 9\end{array}}{\space }$

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:

$\frac{\begin{array}[b]{r}^{2}\not3 ^{11}\not2 \ ^{16}\not6\\ -\ 2 \ \ \ 8\ \ \ \ \ 9\end{array}}{\space }$

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

$\frac{\begin{array}[b]{r}11\\ -\ 8\end{array}}{\ \ \ 3 }$

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

$\frac{\begin{array}[b]{r}2\\ -\ 2\end{array}}{\ \ \ 0}$

Your final answer should be

$\frac{\begin{array}[b]{r}^{2}\not3 ^{11}\not2 \ ^{16}\not6\\ -\ 2 \ \ \ 8\ \ \ \ \ 9\end{array}}{\ \ \ \ \ \ \ \ 3\ \ \ \ \ 7 }$

Report an Error

Example Question #5 : Subtracting Within 1000

Solve:

$\frac{\begin{array}[b]{r}819\\ -\ 181\end{array}}{\space }$

Possible Answers:

639

637

636

638

Correct answer:

638

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:

$\frac{\begin{array}[b]{r}9\\ -\ 1\end{array}}{\ \ \ 8 }$

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

$\frac{\begin{array}[b]{r}1\\ -\ 8\end{array}}{\ \ \ }$

$\frac{\begin{array}[b]{r}^{7} \not819\\ -\ 181\end{array}}{\space }$

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:

$\frac{\begin{array}[b]{r}^{7} \not8\ ^{11}\not1\ \ \ \ \ 9\\ -\ 1 \ \ \ \ \ 8\ \ \ \ \ 1\end{array}}{\space }$

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

$\frac{\begin{array}[b]{r}11\\ -\ 8\end{array}}{\ \ \ 3}$

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

$\frac{\begin{array}[b]{r}7\\ -\ 1\end{array}}{\ \ \ 6}$

Your final answer should be 638

$\frac{\begin{array}[b]{r}^{7} \not8\ ^{11}\not1\ \ \ \ \ 9\\ -\ 1 \ \ \ \ \ 8\ \ \ \ \ 1\end{array}}{\ \ \ 6 \ \ \ \ \ 3\ \ \ \ \ 8 }$

Report an Error

Example Question #6 : Subtracting Within 1000

Solve:

$\frac{\begin{array}[b]{r}969\\ -\ 930\end{array}}{\space }$

Possible Answers:

Correct answer:

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:

$\frac{\begin{array}[b]{r}9\\ -\ 0\end{array}}{\ \ \ 9 }$

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

$\frac{\begin{array}[b]{r}6\\ -\ 3\end{array}}{\ \ \ 3 }$

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

$\frac{\begin{array}[b]{r}9\\ -\ 9\end{array}}{\ \ \ 0}$

Your final answer should be

$\frac{\begin{array}[b]{r}969\\ -\ 930\end{array}}{\ \ \ \ \ 39}$

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All Common Core: 3rd Grade Math Resources

7 Diagnostic Tests 226 Practice Tests Question of the Day Flashcards Learn by Concept

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Common Core: 3rd Grade Math : Common Core Math: Grade 3

Study concepts, example questions & explanations for Common Core: 3rd Grade Math

All Common Core: 3rd Grade Math Resources

Example Questions

Example Question #21 : Adding Within 1000

Example Question #22 : Adding Within 1000

Example Question #23 : Adding Within 1000

Example Question #24 : Adding Within 1000

Example Question #1 : Subtracting Within 1000

Example Question #2 : Subtracting Within 1000

Example Question #3 : Subtracting Within 1000

Example Question #4 : Subtracting Within 1000

Example Question #5 : Subtracting Within 1000

Example Question #6 : Subtracting Within 1000

All Common Core: 3rd Grade Math Resources

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