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Common Core: 4th Grade Math : Common Core Math: Grade 4

Study concepts, example questions & explanations for Common Core: 4th Grade Math

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All Common Core: 4th Grade Math Resources

7 Diagnostic Tests 189 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #22 : Subtracting Fractions

Select the fraction model that shows the difference of $\frac{9}{12}-\frac{2}{12}$

Possible Answers:

5 12

9 12

6 12

7 12

8 12

Correct answer:

7 12

Explanation:

$\frac{9}{12}-\frac{2}{12}=\frac {7}{12}$

The fraction model is broken up into twelve pieces and seven of the pieces are shaded in. The numerator of the fraction tells us how many pieces should be shaded in, and the denominator tells us how many pieces the whole should be split up into.

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Example Question #23 : Subtracting Fractions

Select the fraction model that shows the difference of $\frac{10}{12}-\frac{2}{12}$

Possible Answers:

8 12

9 12

6 12

5 12

7 12

Correct answer:

8 12

Explanation:

$\frac{10}{12}-\frac{2}{12}=\frac{8}{12}$

The fraction model is broken up into twelve pieces and eight of the pieces are shaded in. The numerator of the fraction tells us how many pieces should be shaded in, and the denominator tells us how many pieces the whole should be split up into.

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Example Question #355 : Build Fractions From Unit Fractions

Select the fraction model that shows the difference of $\frac{12}{12}-\frac{3}{12}$

Possible Answers:

5 12

8 12

7 12

9 12

6 12

Correct answer:

9 12

Explanation:

$\frac{12}{12}-\frac{3}{12}=\frac{9}{12}$

The fraction model is broken up into twelve pieces and nine of the pieces are shaded in. The numerator of the fraction tells us how many pieces should be shaded in, and the denominator tells us how many pieces the whole should be split up into.

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Example Question #1 : Adding Multi Digit Numbers

Solve:

$\frac{\begin{array}[b]{r}687\\ +\ 410\end{array}}{\space }$

Possible Answers:

$1\textup,098$

$1\textup,095$

$1\textup,096$

$1\textup,097$

Correct answer:

$1\textup,097$

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+0=7

Add the numbers in the tens place:

8+1=9

Add the numbers in the hundreds place:

6+4=10

Your final answer should be 1097:

$\frac{\begin{array}[b]{r}687\\ +\ 410\end{array}}{\ \ 1097}$

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Example Question #2 : Adding Multi Digit Numbers

Solve:

$\frac{\begin{array}[b]{r}412\\ +\ 896\end{array}}{\space }$

Possible Answers:

$1\textup,309$

$1\textup,307$

$1\textup,310$

$1\textup,308$

Correct answer:

$1\textup,308$

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:

$\frac{\begin{array}[b]{r}^{{\color{Red} 1}}412\\ +\ 896\end{array}}{\ \ \ \ \ 08 }$

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

1+4+8=13

Your final answer should be 1308:

$\frac{\begin{array}[b]{r}^{1}412\\ +\ 896\end{array}}{\ \ 1308 }$

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Example Question #3 : Adding Multi Digit Numbers

Solve:

$\frac{\begin{array}[b]{r}569\\ +\ 221\end{array}}{\space }$

Possible Answers:

790

791

793

792

Correct answer:

790

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:

9+1=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:

$\frac{\begin{array}[b]{r}5^{{\color{Red} 1}}6\ 9\\ +\ 2\ 2\ 1\end{array}}{\ \ \ \ \ \ \ \ 0 }$

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

1+6+2=9

Add the numbers in the hundreds place:

5+2=7

Your final answer should be 790:

$\frac{\begin{array}[b]{r}569\\ +\ 221\end{array}}{\ \ \ 790 }$

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Example Question #4 : Adding Multi Digit Numbers

Solve:

$\frac{\begin{array}[b]{r}495\\ +\ 519\end{array}}{\space }$

Possible Answers:

$1\textup,014$

$1\textup,013$

$1\textup,012$

$1\textup,011$

Correct answer:

$1\textup,014$

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:

5+9=14

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

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

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

1+9+1=11

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:

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

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

1+4+5=10

Your final answer should be 1014:

$\frac{\begin{array}[b]{r}295\\ +\ 519\end{array}}{\ \ 1014}$

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Example Question #5 : Adding Multi Digit Numbers

Solve:

$\frac{\begin{array}[b]{r}700\\ +\ 224\end{array}}{\space }$

Possible Answers:

923

925

924

922

Correct answer:

924

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:

0+4=4

Add the numbers in the tens place:

0+2=2

Add the numbers in the hundreds place:

7+2=9

Your final answer should be 924:

$\frac{\begin{array}[b]{r}700\\ +\ 224\end{array}}{\ \ \ 924 }$

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Example Question #6 : Adding Multi Digit Numbers

Solve:

$\frac{\begin{array}[b]{r}469\\ +\ 323\end{array}}{\space }$

Possible Answers:

790

791

793

792

Correct answer:

792

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:

9+3=12

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:

$\frac{\begin{array}[b]{r}4^{{\color{Red} 1}}6\ 9\\ +\ 3\ 2\ 3\end{array}}{\ \ \ \ \ \ \ \ 2 }$

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

1+6+2=9

Add the numbers in the hundreds place:

4+3=7

Your final answer should be 792:

$\frac{\begin{array}[b]{r}469\\ +\ 323\end{array}}{\ \ \ 792 }$

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Example Question #7 : Adding Multi Digit Numbers

Solve:

$\frac{\begin{array}[b]{r}428\\ +\ 548\end{array}}{\space }$

Possible Answers:

975

976

974

973

Correct answer:

976

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:

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

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

1+2+4=7

Add the numbers in the hundreds place:

4+5=9

Your final answer should be 976:

$\frac{\begin{array}[b]{r}428\\ +\ 548\end{array}}{\ \ \ 976}$

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All Common Core: 4th Grade Math Resources

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Common Core: 4th Grade Math : Common Core Math: Grade 4

Study concepts, example questions & explanations for Common Core: 4th Grade Math

All Common Core: 4th Grade Math Resources

Example Questions

Example Question #22 : Subtracting Fractions

Example Question #23 : Subtracting Fractions

Example Question #355 : Build Fractions From Unit Fractions

Example Question #1 : Adding Multi Digit Numbers

Example Question #2 : Adding Multi Digit Numbers

Example Question #3 : Adding Multi Digit Numbers

Example Question #4 : Adding Multi Digit Numbers

Example Question #5 : Adding Multi Digit Numbers

Example Question #6 : Adding Multi Digit Numbers

Example Question #7 : Adding Multi Digit Numbers

All Common Core: 4th Grade Math Resources

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