Common Core: 2nd Grade Math : Add and Subtract Within 100: CCSS.Math.Content.2.NBT.B.5

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

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Example Questions

Example Question #1 : Add And Subtract Within 100: Ccss.Math.Content.2.Nbt.B.5

Solve:

\(\displaystyle \frac{\begin{array}[b]{r}47\\ +\ 15\end{array}}{\space }\)

Possible Answers:

\(\displaystyle 62\)

\(\displaystyle 64\)

\(\displaystyle 65\)

\(\displaystyle 63\)

Correct answer:

\(\displaystyle 62\)

Explanation:

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

4

Let's add the digits in the ones place:

\(\displaystyle 7+5=12\)

Because the sum is greater than \(\displaystyle 9\), we have to carry the \(\displaystyle 1\) to the tens place. So far, your work should look like the following: 

1

Next, we add the numbers in the tens position, including the \(\displaystyle 1\) that was carried over:

2

Let's add the digits in the tens place:

\(\displaystyle 1+4+1=6\)

Your final answer should be \(\displaystyle 62\)

3

Example Question #2 : Add And Subtract Within 100: Ccss.Math.Content.2.Nbt.B.5

Solve:

\(\displaystyle \frac{\begin{array}[b]{r}31\\ +\ 95\end{array}}{\space }\)

Possible Answers:

\(\displaystyle 124\)

\(\displaystyle 125\)

\(\displaystyle 126\)

\(\displaystyle 123\)

Correct answer:

\(\displaystyle 126\)

Explanation:

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

1

Let's add the digits in the ones place:

\(\displaystyle 1+5=6\)

Next, we add the numbers in the tens position.

2

Let's add the digits in the tens place:

\(\displaystyle 3+9=12\)

Your final answer should be \(\displaystyle 126\)

3

Example Question #3 : Add And Subtract Within 100: Ccss.Math.Content.2.Nbt.B.5

Solve:

\(\displaystyle \frac{\begin{array}[b]{r}42\\ +\ 57\end{array}}{\space }\)

Possible Answers:

\(\displaystyle 97\)

\(\displaystyle 100\)

\(\displaystyle 98\)

\(\displaystyle 99\)

Correct answer:

\(\displaystyle 99\)

Explanation:

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

1

Let's add the digits in the ones place:

\(\displaystyle 2+7=9\)

Next, we add the numbers in the tens position.

2

Let's add the digits in the tens place:

\(\displaystyle 4+5=9\)

Your final answer should be \(\displaystyle 99\)


3

Example Question #4 : Add And Subtract Within 100: Ccss.Math.Content.2.Nbt.B.5

Solve:

\(\displaystyle \frac{\begin{array}[b]{r}77\\ +\ 15\end{array}}{\space }\)

Possible Answers:

\(\displaystyle 94\)

\(\displaystyle 92\)

\(\displaystyle 93\)

\(\displaystyle 91\)

Correct answer:

\(\displaystyle 92\)

Explanation:

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

1

Let's add the digits in the ones place:

\(\displaystyle 7+5=12\)

Because the sum is greater than \(\displaystyle 9\), we have to carry the \(\displaystyle 1\) to the tens place. So far, your work should look like the following: 

2

Next, we add the numbers in the tens position, including the \(\displaystyle 1\) that was carried over:

3

Let's add the digits in the tens place:

\(\displaystyle 1+7+1=9\)

Your final answer should be \(\displaystyle 92\)


4

Example Question #5 : Add And Subtract Within 100: Ccss.Math.Content.2.Nbt.B.5

Solve:

\(\displaystyle \frac{\begin{array}[b]{r}81\\ +\ 58\end{array}}{\space }\)

Possible Answers:

\(\displaystyle 136\)

\(\displaystyle 138\)

\(\displaystyle 137\)

\(\displaystyle 139\)

Correct answer:

\(\displaystyle 139\)

Explanation:

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

1

Let's add the digits in the ones place:

\(\displaystyle 1+8=9\)

Next, we add the numbers in the tens position.

2

Let's add the digits in the tens place:

\(\displaystyle 8+5=13\)

Your final answer should be \(\displaystyle 139\)

3

Example Question #6 : Add And Subtract Within 100: Ccss.Math.Content.2.Nbt.B.5

Solve:

\(\displaystyle \frac{\begin{array}[b]{r}58\\ +\ 19\end{array}}{\space }\)

Possible Answers:

\(\displaystyle 75\)

\(\displaystyle 78\)

\(\displaystyle 77\)

\(\displaystyle 76\)

Correct answer:

\(\displaystyle 77\)

Explanation:

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

1

Let's add the digits in the ones place:

\(\displaystyle 8+9=17\)

Because the sum is greater than \(\displaystyle 9\), we have to carry the \(\displaystyle 1\) to the tens place. So far, your work should look like the following: 

2

Next, we add the numbers in the tens position, including the \(\displaystyle 1\) that was carried over:

3

Let's add the digits in the tens place:

\(\displaystyle 1+5+1=7\)

Your final answer should be \(\displaystyle 77\)


4

Example Question #7 : Add And Subtract Within 100: Ccss.Math.Content.2.Nbt.B.5

Solve:

\(\displaystyle \frac{\begin{array}[b]{r}59\\ +\ 39\end{array}}{\space }\)

Possible Answers:

\(\displaystyle 100\)

\(\displaystyle 99\)

\(\displaystyle 98\)

\(\displaystyle 97\)

Correct answer:

\(\displaystyle 98\)

Explanation:

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

5

Let's add the digits in the ones place:

\(\displaystyle 9+9=18\)

Because the sum is greater than \(\displaystyle 9\), we have to carry the \(\displaystyle 1\) to the tens place. So far, your work should look like the following: 

6

Next, we add the numbers in the tens position, including the \(\displaystyle 1\) that was carried over:

7

Let's add the digits in the tens place:

\(\displaystyle 1+5+3=9\)

Your final answer should be \(\displaystyle 98\)

8

Example Question #8 : Add And Subtract Within 100: Ccss.Math.Content.2.Nbt.B.5

Solve:

\(\displaystyle \frac{\begin{array}[b]{r}38\\ +\ 43\end{array}}{\space }\)

Possible Answers:

\(\displaystyle 82\)

\(\displaystyle 81\)

\(\displaystyle 83\)

\(\displaystyle 80\)

Correct answer:

\(\displaystyle 81\)

Explanation:

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

9

Let's add the digits in the ones place:

\(\displaystyle 8+3=11\)

Because the sum is greater than \(\displaystyle 9\), we have to carry the \(\displaystyle 1\) to the tens place. So far, your work should look like the following: 

10

Next, we add the numbers in the tens position, including the \(\displaystyle 1\) that was carried over:

11

Let's add the digits in the tens place:

\(\displaystyle 1+3+4=8\)

Your final answer should be \(\displaystyle 81\)

12

Example Question #9 : Add And Subtract Within 100: Ccss.Math.Content.2.Nbt.B.5

Solve:

\(\displaystyle \frac{\begin{array}[b]{r}48\\ +\ 31\end{array}}{\space }\)

Possible Answers:

\(\displaystyle 77\)

\(\displaystyle 80\)

\(\displaystyle 79\)

\(\displaystyle 78\)

Correct answer:

\(\displaystyle 79\)

Explanation:

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

3

Let's add the digits in the ones place:

\(\displaystyle 8+1=9\)

Next, we add the numbers in the tens position.

14

Let's add the digits in the tens place:

\(\displaystyle 4+3=7\)

Your final answer should be \(\displaystyle 79\)


15

Example Question #10 : Add And Subtract Within 100: Ccss.Math.Content.2.Nbt.B.5

Solve:

\(\displaystyle \frac{\begin{array}[b]{r}28\\ +\ 63\end{array}}{\space }\)

Possible Answers:

\(\displaystyle 90\)

\(\displaystyle 93\)

\(\displaystyle 92\)

\(\displaystyle 91\)

Correct answer:

\(\displaystyle 91\)

Explanation:

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

16

Let's add the digits in the ones place:

\(\displaystyle 8+3=11\)

Because the sum is greater than \(\displaystyle 9\), we have to carry the \(\displaystyle 1\) to the tens place. So far, your work should look like the following: 

17

Next, we add the numbers in the tens position, including the \(\displaystyle 1\) that was carried over:

18

Let's add the digits in the tens place:

\(\displaystyle 1+2+6=9\)

Your final answer should be \(\displaystyle 91\)


19

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