Common Core: 2nd Grade Math : Add within 1000

Study concepts, example questions & explanations for Common Core: 2nd Grade Math

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Example Questions

Example Question #1 : Add Within 1000

Solve:

\displaystyle \frac{\begin{array}[b]{r}235\\ +\ 204\end{array}}{\space }

Possible Answers:

\displaystyle 436

\displaystyle 439

\displaystyle 438

\displaystyle 437

Correct answer:

\displaystyle 439

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:

\displaystyle 5+4=9

Add the numbers in the tens place:

\displaystyle 3+0=3

Add the numbers in the hundreds place:

\displaystyle 2+2=4

Your final answer should be \displaystyle 439:

\displaystyle \frac{\begin{array}[b]{r}235\\ +\ 204\end{array}}{\ \ \ \ 439 }

Example Question #2 : Add Within 1000

Solve:

\displaystyle \frac{\begin{array}[b]{r}330\\ +\ 126\end{array}}{\space }

Possible Answers:

\displaystyle 458

\displaystyle 457

\displaystyle 456

\displaystyle 459

Correct answer:

\displaystyle 456

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:

\displaystyle 0+6=6

Add the numbers in the tens place:

\displaystyle 3+2=5

Add the numbers in the hundreds place:

\displaystyle 3+1=4

Your final answer should be \displaystyle 456:

\displaystyle \frac{\begin{array}[b]{r}330\\ +\ 126\end{array}}{\ \ \ 456 }

Example Question #3 : Add Within 1000

Solve:

\displaystyle \frac{\begin{array}[b]{r}387\\ +\ 410\end{array}}{\space }

Possible Answers:

\displaystyle 797

\displaystyle 798

\displaystyle 795

\displaystyle 796

Correct answer:

\displaystyle 797

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:

\displaystyle 7+0=7

Add the numbers in the tens place:

\displaystyle 8+1=9

Add the numbers in the hundreds place:

\displaystyle 3+4=7

Your final answer should be \displaystyle 797:

\displaystyle \frac{\begin{array}[b]{r}387\\ +\ 410\end{array}}{\ \ \ 797}

Example Question #4 : Add Within 1000

Solve:

\displaystyle \frac{\begin{array}[b]{r}228\\ +\ 628\end{array}}{\space }

Possible Answers:

\displaystyle 857

\displaystyle 855

\displaystyle 856

\displaystyle 858

Correct answer:

\displaystyle 856

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:

\displaystyle 8+8=16

Because this sum is greater than \displaystyle 9, we write the \displaystyle 6 from the ones place and carry the \displaystyle 1 from he tens place over to the left. Your work should look something like this:

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

Add the numbers in the tens place, including the \displaystyle 1 that was carried over:

\displaystyle 1+2+2=5

Add the numbers in the hundreds place:

\displaystyle 2+6=8

Your final answer should be \displaystyle 856:

\displaystyle \frac{\begin{array}[b]{r}228\\ +\ 628\end{array}}{\ \ \ 856 }

Example Question #5 : Add Within 1000

Solve:

\displaystyle \frac{\begin{array}[b]{r}195\\ +\ 519\end{array}}{\space }

Possible Answers:

\displaystyle 714

\displaystyle 712

\displaystyle 713

\displaystyle 711

Correct answer:

\displaystyle 714

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:

\displaystyle 5+9=14

Because this sum is greater than \displaystyle 9, we write the \displaystyle 4 from the ones place and carry the \displaystyle 1 from he tens place over to the left. Your work should look something like this:

\displaystyle \frac{\begin{array}[b]{r}1^{{\color{Red} 1}}9\ 5\\ +\ 5\ 1\ 9\end{array}}{\ \ \ \ \ \ \ \ 4 }

Add the numbers in the tens place, including the \displaystyle 1 that was carried over:

\displaystyle 1+9+1=11

Because this sum is greater than \displaystyle 9, we write the \displaystyle 1 from the ones place and carry the \displaystyle 1 from the tens place over to the left. Your work should look something like this:

\displaystyle \frac{\begin{array}[b]{r}^{{\color{Red} 1}}1^{{\color{Red} 1}}9\ 5\\ +\ 5\ 1\ 9\end{array}}{\ \ \ \ \ \ 1\ 4 }

Add the numbers in the hundreds place, including the \displaystyle 1 that was carried over:

\displaystyle 1+1+5=7

Your final answer should be \displaystyle 714:

\displaystyle \frac{\begin{array}[b]{r}195\\ +\ 519\end{array}}{\ \ \ 714}

Example Question #6 : Add Within 1000

Solve:

\displaystyle \frac{\begin{array}[b]{r}312\\ +\ 496\end{array}}{\space }

Possible Answers:

\displaystyle 808

\displaystyle 809

\displaystyle 810

\displaystyle 807

Correct answer:

\displaystyle 808

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:

\displaystyle 2+6=8

Add the numbers in the tens place:

\displaystyle 1+9=10

Because this sum is greater than \displaystyle 9, we write the \displaystyle 0 from the ones place and carry the \displaystyle 1 from the tens place over to the left. Your work should look something like this:

\displaystyle \frac{\begin{array}[b]{r}^{{\color{Red} 1}}312\\ +\ 496\end{array}}{\ \ \ \ \ 08 }

Add the numbers in the hundreds place, including the \displaystyle 1 that was carried over:

\displaystyle 1+3+4=8

Your final answer should be \displaystyle 808:

\displaystyle \frac{\begin{array}[b]{r}^{1}312\\ +\ 496\end{array}}{\ \ \ \ 808 }

Example Question #1131 : Number & Operations In Base Ten

Solve:

\displaystyle \frac{\begin{array}[b]{r}269\\ +\ 221\end{array}}{\space }

Possible Answers:

\displaystyle 490

\displaystyle 493

\displaystyle 491

\displaystyle 492

Correct answer:

\displaystyle 490

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:

\displaystyle 9+1=10

Because this sum is greater than \displaystyle 9, we write the \displaystyle 0 from the ones place and carry the \displaystyle 1 from the tens place over to the left. Your work should look something like this:

\displaystyle \frac{\begin{array}[b]{r}2^{{\color{Red} 1}}6\ 9\\ +\ 2\ 2\ 1\end{array}}{\ \ \ \ \ \ \ \ 0 }

Add the numbers in the tens place, including the \displaystyle 1 that was carried over:

\displaystyle 1+6+2=9

Add the numbers in the hundreds place:

\displaystyle 2+2=4

Your final answer should be \displaystyle 490:

\displaystyle \frac{\begin{array}[b]{r}269\\ +\ 221\end{array}}{\ \ \ 490 }

Example Question #1132 : Number & Operations In Base Ten

Solve:

\displaystyle \frac{\begin{array}[b]{r}400\\ +\ 224\end{array}}{\space }

Possible Answers:

\displaystyle 623

\displaystyle 624

\displaystyle 621

\displaystyle 622

Correct answer:

\displaystyle 624

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:

\displaystyle 0+4=4

Add the numbers in the tens place:

\displaystyle 0+2=2

Add the numbers in the hundreds place:

\displaystyle 4+2=6

Your final answer should be \displaystyle 624:

\displaystyle \frac{\begin{array}[b]{r}400\\ +\ 224\end{array}}{\ \ \ 624 }

Example Question #1133 : Number & Operations In Base Ten

Solve:

\displaystyle \frac{\begin{array}[b]{r}128\\ +\ 548\end{array}}{\space }

Possible Answers:

\displaystyle 675

\displaystyle 678

\displaystyle 674

\displaystyle 676

Correct answer:

\displaystyle 676

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:

\displaystyle 8+8=16

Because this sum is greater than \displaystyle 9, we write the \displaystyle 6 from the ones place and carry the \displaystyle 1 from the tens place over to the left. Your work should look something like this:

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

Add the numbers in the tens place, including the \displaystyle 1 that was carried over:

\displaystyle 1+2+4=7

Add the numbers in the hundreds place:

\displaystyle 1+5=6

Your final answer should be \displaystyle 676:

\displaystyle \frac{\begin{array}[b]{r}128\\ +\ 548\end{array}}{\ \ \ 676}

Example Question #7 : Add Within 1000

Solve:

\displaystyle \frac{\begin{array}[b]{r}407\\ +\ 328\end{array}}{\space }

Possible Answers:

\displaystyle 734

\displaystyle 733

\displaystyle 732

\displaystyle 735

Correct answer:

\displaystyle 735

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:

\displaystyle 7+8=15

Because this sum is greater than \displaystyle 9, we write the \displaystyle 5 from the ones place and carry the \displaystyle 1 from the tens place over to the left. Your work should look something like this:

\displaystyle \frac{\begin{array}[b]{r}4^{{\color{Red} 1}}0\ 7\\ +\ 3\ 2\ 8\end{array}}{\ \ \ \ \ \ \ \ 5 }

Add the numbers in the tens place, including the \displaystyle 1 that was carried over:

\displaystyle 1+0+2=3

Add the numbers in the hundreds place:

\displaystyle 4+3=7

Your final answer should be \displaystyle 735:

\displaystyle \frac{\begin{array}[b]{r}407\\ +\ 328\end{array}}{\ \ \ 735}

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