Common Core: 2nd Grade Math : Common Core Math: Grade 2

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

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Example Questions

Example Question #5 : Subtract Within 1000

Solve:

\(\displaystyle \frac{\begin{array}[b]{r}979\\ -\ 930\end{array}}{\space }\)

Possible Answers:

\(\displaystyle 47\)

\(\displaystyle 50\)

\(\displaystyle 49\)

\(\displaystyle 48\)

Correct answer:

\(\displaystyle 49\)

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:

\(\displaystyle \frac{\begin{array}[b]{r}9\\ -\ 0\end{array}}{\ \ \ 9 }\)

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

\(\displaystyle \frac{\begin{array}[b]{r}7\\ -\ 3\end{array}}{\ \ \ 4 }\)

 

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

\(\displaystyle \frac{\begin{array}[b]{r}9\\ -\ 9\end{array}}{\ \ \ 0}\)

Your final answer should be \(\displaystyle 49\)

\(\displaystyle \frac{\begin{array}[b]{r}979\\ -\ 930\end{array}}{\ \ \ \ \ 49}\)

Example Question #6 : Subtract Within 1000

Solve:

\(\displaystyle \frac{\begin{array}[b]{r}439\\ -\ 438\end{array}}{\space }\)

Possible Answers:

\(\displaystyle 2\)

\(\displaystyle 4\)

\(\displaystyle 1\)

\(\displaystyle 3\)

Correct answer:

\(\displaystyle 1\)

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:

\(\displaystyle \frac{\begin{array}[b]{r}9\\ -\ 8\end{array}}{\ \ \ 1 }\)

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

\(\displaystyle \frac{\begin{array}[b]{r}3\\ -\ 3\end{array}}{\ \ \ 0 }\)

 

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

\(\displaystyle \frac{\begin{array}[b]{r}4\\ -\ 4\end{array}}{\ \ \ 0}\)

Your final answer should be \(\displaystyle 1\)

\(\displaystyle \frac{\begin{array}[b]{r}439\\ -\ 438\end{array}}{\ \ \ \ \ \ \ 1}\)

Example Question #7 : Subtract Within 1000

Solve:

\(\displaystyle \frac{\begin{array}[b]{r}810\\ -\ 110\end{array}}{\space }\)

Possible Answers:

\(\displaystyle 701\)

\(\displaystyle 703\)

\(\displaystyle 700\)

\(\displaystyle 702\)

Correct answer:

\(\displaystyle 700\)

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:

\(\displaystyle \frac{\begin{array}[b]{r}0\\ -\ 0\end{array}}{\ \ \ 0 }\)

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

\(\displaystyle \frac{\begin{array}[b]{r}1\\ -\ 1\end{array}}{\ \ \ 0 }\)

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

\(\displaystyle \frac{\begin{array}[b]{r}8\\ -\ 1\end{array}}{\ \ \ 7}\)

Your final answer should be \(\displaystyle 700\)

\(\displaystyle \frac{\begin{array}[b]{r}810\\ -\ 110\end{array}}{\ \ \ 700}\)

Example Question #8 : Subtract Within 1000

Solve:

\(\displaystyle \frac{\begin{array}[b]{r}596\\ -\ 335\end{array}}{\space }\)

Possible Answers:

\(\displaystyle 260\)

\(\displaystyle 262\)

\(\displaystyle 261\)

\(\displaystyle 263\)

Correct answer:

\(\displaystyle 261\)

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:

\(\displaystyle \frac{\begin{array}[b]{r}6\\ -\ 5\end{array}}{\ \ \ 1 }\)

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

\(\displaystyle \frac{\begin{array}[b]{r}9\\ -\ 3\end{array}}{\ \ \ 6 }\)

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

\(\displaystyle \frac{\begin{array}[b]{r}5\\ -\ 3\end{array}}{\ \ \ 2}\)

Your final answer should be \(\displaystyle 261\)

\(\displaystyle \frac{\begin{array}[b]{r}596\\ -\ 335\end{array}}{\ \ \ \ 261}\)

Example Question #9 : Subtract Within 1000

Solve:

\(\displaystyle \frac{\begin{array}[b]{r}374\\ -\ 231\end{array}}{\space }\)

Possible Answers:

\(\displaystyle 141\)

\(\displaystyle 142\)

\(\displaystyle 140\)

\(\displaystyle 143\)

Correct answer:

\(\displaystyle 143\)

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:

\(\displaystyle \frac{\begin{array}[b]{r}4\\ -\ 1\end{array}}{\ \ \ 3 }\)

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

\(\displaystyle \frac{\begin{array}[b]{r}7\\ -\ 3\end{array}}{\ \ \ 4 }\)

 

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

\(\displaystyle \frac{\begin{array}[b]{r}3\\ -\ 2\end{array}}{\ \ \ 1}\)

Your final answer should be \(\displaystyle 143\)

\(\displaystyle \frac{\begin{array}[b]{r}374\\ -\ 231\end{array}}{\ \ \ \ 143}\)

Example Question #2141 : Common Core Math: Grade 2

Solve:

\(\displaystyle \frac{\begin{array}[b]{r}555\\ -\ 123\end{array}}{\space }\)

Possible Answers:

\(\displaystyle 431\)

\(\displaystyle 430\)

\(\displaystyle 432\)

\(\displaystyle 434\)

Correct answer:

\(\displaystyle 432\)

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:

\(\displaystyle \frac{\begin{array}[b]{r}5\\ -\ 3\end{array}}{\ \ \ 2 }\)

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

\(\displaystyle \frac{\begin{array}[b]{r}5\\ -\ 2\end{array}}{\ \ \ 3 }\)

 

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

\(\displaystyle \frac{\begin{array}[b]{r}5\\ -\ 1\end{array}}{\ \ \ 4}\)

Your final answer should be \(\displaystyle 432\)

\(\displaystyle \frac{\begin{array}[b]{r}555\\ -\ 123\end{array}}{\ \ \ \ 432}\)

Example Question #1 : Using Addition Within 100 To Solve Word Problems

Molly has \(\displaystyle 37\) pencils and Natalie has \(\displaystyle 24\). How many total pencils do they have if they put theirs together? 

Possible Answers:

\(\displaystyle 65\)

\(\displaystyle 64\)

\(\displaystyle 63\)

\(\displaystyle 62\)

\(\displaystyle 61\)

Correct answer:

\(\displaystyle 61\)

Explanation:

This is an addition problem because Molly and Natalie are putting their pencils together. We can either add \(\displaystyle 37+24=61\) or \(\displaystyle 24+37=61\)

Example Question #2 : Use Addition And Subtraction Within 100 To Solve One And Two Step Word Problems: Ccss.Math.Content.2.Oa.A.1

Emily has \(\displaystyle 18\) blueberries, \(\displaystyle 14\) strawberries, and \(\displaystyle 30\) raspberries on her plate. How many total pieces of fruit does she have? 

Possible Answers:

\(\displaystyle 62\)

\(\displaystyle 44\)

\(\displaystyle 64\)

\(\displaystyle 32\)

\(\displaystyle 48\)

Correct answer:

\(\displaystyle 62\)

Explanation:

This is an addition problem because we want to know how many total pieces of fruit Emily has on her plate all together. We can add the numbers is any order, \(\displaystyle 18+14+30=62.\) 

Example Question #1 : Using Addition Within 100 To Solve Word Problems

Lindsey’s family is going on vacation. She packs \(\displaystyle 20\) things, her dad packs \(\displaystyle 35\) things, and her mom packs \(\displaystyle 30\) things. How many total things are they taking on their vacation? 

Possible Answers:

\(\displaystyle 50\)

\(\displaystyle 85\)

\(\displaystyle 55\)

\(\displaystyle 65\)

\(\displaystyle 80\)

Correct answer:

\(\displaystyle 85\)

Explanation:

This is an addition problem because we want to know how many total things that Lindsey’s family is bringing on vacation all together. We can add the numbers in any order, \(\displaystyle 20+35+30=85.\) 

Example Question #2 : Use Addition And Subtraction Within 100 To Solve One And Two Step Word Problems: Ccss.Math.Content.2.Oa.A.1

Amy’s street has three houses on it. The first house has \(\displaystyle 14\) rooms, the second house has \(\displaystyle 17\) rooms, and the third house has \(\displaystyle 13\) rooms. How many total rooms do the \(\displaystyle 3\) houses have? 

Possible Answers:

\(\displaystyle 27\)

\(\displaystyle 31\)

\(\displaystyle 30\)

\(\displaystyle 44\)

\(\displaystyle 43\)

Correct answer:

\(\displaystyle 44\)

Explanation:

This is an addition problem because we want to know how many total rooms the houses have all together. We can add the numbers in any order, \(\displaystyle 14+17+13=41.\)

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