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Common Core: 2nd Grade Math : Number & Operations in Base Ten

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

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All Common Core: 2nd Grade Math Resources

7 Diagnostic Tests 217 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #2 : Subtract Within 1000

Solve:

$\frac{\begin{array}[b]{r}316\\ -\ 250\end{array}}{\space }$

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:

$\frac{\begin{array}[b]{r}6\\ -\ 0\end{array}}{\ \ \ 6 }$

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

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

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:

$\frac{\begin{array}[b]{r}^{2} \not316\\ -\ 250\end{array}}{\space }$

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:

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

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

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

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Example Question #2 : Subtract Within 1000

Solve:

$\frac{\begin{array}[b]{r}325\\ -\ 289\end{array}}{\space }$

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:

$\frac{\begin{array}[b]{r}5\\ -\ 9\end{array}}{\ \ \ }$

$\frac{\begin{array}[b]{r}3 ^{1}\not2 \ \ \ 5\\ -\ 2\ \ \ 8\ \ \ 9\end{array}}{\space }$

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:

$\frac{\begin{array}[b]{r}3 ^{1}\not2 \ ^{15}\not5\\ -\ 2 \ \ \ 8\ \ \ \ \ 9\end{array}}{\space }$

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

$\frac{\begin{array}[b]{r}15\\ -\ 9\end{array}}{\ \ \ 6 }$

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

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

$\frac{\begin{array}[b]{r}^{2}\not3 ^{1}\not2 \ ^{15}\not5\\ -\ 2 \ \ \ 8\ \ \ \ \ 9\end{array}}{\space }$

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:

$\frac{\begin{array}[b]{r}^{2}\not3 ^{11}\not2 \ ^{15}\not5\\ -\ 2 \ \ \ 8\ \ \ \ \ 9\end{array}}{\space }$

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

$\frac{\begin{array}[b]{r}^{2}\not3 ^{11}\not2 \ ^{15}\not5\\ -\ 2 \ \ \ 8\ \ \ \ \ 9\end{array}}{\ \ \ \ \ \ \ \ 3\ \ \ \ \ 6 }$

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Example Question #3 : Subtract Within 1000

Solve:

$\frac{\begin{array}[b]{r}818\\ -\ 181\end{array}}{\space }$

Possible Answers:

637

636

635

634

Correct answer:

637

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:

$\frac{\begin{array}[b]{r}8\\ -\ 1\end{array}}{\ \ \ 7 }$

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

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

$\frac{\begin{array}[b]{r}^{7} \not818\\ -\ 181\end{array}}{\space }$

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:

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

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 637

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

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Example Question #3 : Subtract Within 1000

Solve:

$\frac{\begin{array}[b]{r}979\\ -\ 930\end{array}}{\space }$

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:

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

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

$\frac{\begin{array}[b]{r}979\\ -\ 930\end{array}}{\ \ \ \ \ 49}$

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Example Question #4 : Subtract Within 1000

Solve:

$\frac{\begin{array}[b]{r}439\\ -\ 438\end{array}}{\space }$

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:

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

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

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

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

$\frac{\begin{array}[b]{r}4\\ -\ 4\end{array}}{\ \ \ 0}$

Your final answer should be

$\frac{\begin{array}[b]{r}439\\ -\ 438\end{array}}{\ \ \ \ \ \ \ 1}$

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Example Question #4 : Subtract Within 1000

Solve:

$\frac{\begin{array}[b]{r}810\\ -\ 110\end{array}}{\space }$

Possible Answers:

700

701

703

702

Correct answer:

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:

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

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

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

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

$\frac{\begin{array}[b]{r}8\\ -\ 1\end{array}}{\ \ \ 7}$

Your final answer should be 700

$\frac{\begin{array}[b]{r}810\\ -\ 110\end{array}}{\ \ \ 700}$

Report an Error

Example Question #5 : Subtract Within 1000

Solve:

$\frac{\begin{array}[b]{r}596\\ -\ 335\end{array}}{\space }$

Possible Answers:

260

261

263

262

Correct answer:

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:

$\frac{\begin{array}[b]{r}6\\ -\ 5\end{array}}{\ \ \ 1 }$

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

$\frac{\begin{array}[b]{r}9\\ -\ 3\end{array}}{\ \ \ 6 }$

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

$\frac{\begin{array}[b]{r}5\\ -\ 3\end{array}}{\ \ \ 2}$

Your final answer should be 261

$\frac{\begin{array}[b]{r}596\\ -\ 335\end{array}}{\ \ \ \ 261}$

Report an Error

Example Question #5 : Subtract Within 1000

Solve:

$\frac{\begin{array}[b]{r}374\\ -\ 231\end{array}}{\space }$

Possible Answers:

143

141

140

142

Correct answer:

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:

$\frac{\begin{array}[b]{r}4\\ -\ 1\end{array}}{\ \ \ 3 }$

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

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

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

$\frac{\begin{array}[b]{r}3\\ -\ 2\end{array}}{\ \ \ 1}$

Your final answer should be 143

$\frac{\begin{array}[b]{r}374\\ -\ 231\end{array}}{\ \ \ \ 143}$

Report an Error

Example Question #11 : Subtract Within 1000

Solve:

$\frac{\begin{array}[b]{r}555\\ -\ 123\end{array}}{\space }$

Possible Answers:

431

434

430

432

Correct answer:

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:

$\frac{\begin{array}[b]{r}5\\ -\ 3\end{array}}{\ \ \ 2 }$

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

$\frac{\begin{array}[b]{r}5\\ -\ 2\end{array}}{\ \ \ 3 }$

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

$\frac{\begin{array}[b]{r}5\\ -\ 1\end{array}}{\ \ \ 4}$

Your final answer should be 432

$\frac{\begin{array}[b]{r}555\\ -\ 123\end{array}}{\ \ \ \ 432}$

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All Common Core: 2nd Grade Math Resources

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Common Core: 2nd Grade Math : Number & Operations in Base Ten

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

All Common Core: 2nd Grade Math Resources

Example Questions

Example Question #2 : Subtract Within 1000

Example Question #2 : Subtract Within 1000

Example Question #3 : Subtract Within 1000

Example Question #3 : Subtract Within 1000

Example Question #4 : Subtract Within 1000

Example Question #4 : Subtract Within 1000

Example Question #5 : Subtract Within 1000

Example Question #5 : Subtract Within 1000

Example Question #11 : Subtract Within 1000

All Common Core: 2nd Grade Math Resources

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