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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 #1 : Subtracting Multi Digit Numbers

Solve:

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

Possible Answers:

$\displaystyle 47$

$\displaystyle 49$

$\displaystyle 48$

$\displaystyle 46$

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:

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

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

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

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

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

Your final answer should be $\displaystyle 49$

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

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Example Question #2 : Subtracting Multi Digit Numbers

Solve:

$\frac{\begin{array}[b]{r}639\\ -\ 438\end{array}}{\space }$ $\displaystyle \frac{\begin{array}[b]{r}639\\ -\ 438\end{array}}{\space }$

Possible Answers:

200 $\displaystyle 200$

201 $\displaystyle 201$

202 $\displaystyle 202$

203 $\displaystyle 203$

Correct answer:

201 $\displaystyle 201$

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:

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

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

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

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

$\frac{\begin{array}[b]{r}6\\ -\ 4\end{array}}{\ \ \ 2}$ $\displaystyle \frac{\begin{array}[b]{r}6\\ -\ 4\end{array}}{\ \ \ 2}$

Your final answer should be 201 $\displaystyle 201$

$\frac{\begin{array}[b]{r}639\\ -\ 438\end{array}}{\ \ \ \ 201}$ $\displaystyle \frac{\begin{array}[b]{r}639\\ -\ 438\end{array}}{\ \ \ \ 201}$

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Example Question #3 : Subtracting Multi Digit Numbers

Solve:

$\frac{\begin{array}[b]{r}830\\ -\ 110\end{array}}{\space }$ $\displaystyle \frac{\begin{array}[b]{r}830\\ -\ 110\end{array}}{\space }$

Possible Answers:

721 $\displaystyle 721$

723 $\displaystyle 723$

722 $\displaystyle 722$

720 $\displaystyle 720$

Correct answer:

720 $\displaystyle 720$

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:

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

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

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

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

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

Your final answer should be 720 $\displaystyle 720$

$\frac{\begin{array}[b]{r}830\\ -\ 110\end{array}}{\ \ \ 720}$ $\displaystyle \frac{\begin{array}[b]{r}830\\ -\ 110\end{array}}{\ \ \ 720}$

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Example Question #21 : Fluently Add And Subtract Multi Digit Numbers: Ccss.Math.Content.4.Nbt.B.4

Solve:

$\frac{\begin{array}[b]{r}697\\ -\ 335\end{array}}{\space }$ $\displaystyle \frac{\begin{array}[b]{r}697\\ -\ 335\end{array}}{\space }$

Possible Answers:

362 $\displaystyle 362$

363 $\displaystyle 363$

360 $\displaystyle 360$

361 $\displaystyle 361$

Correct answer:

362 $\displaystyle 362$

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:

$\frac{\begin{array}[b]{r}7\\ -\ 5\end{array}}{\ \ \ 2 }$ $\displaystyle \frac{\begin{array}[b]{r}7\\ -\ 5\end{array}}{\ \ \ 2 }$

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

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

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

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

Your final answer should be 362 $\displaystyle 362$

$\frac{\begin{array}[b]{r}397\\ -\ 335\end{array}}{\ \ \ \ 362}$ $\displaystyle \frac{\begin{array}[b]{r}397\\ -\ 335\end{array}}{\ \ \ \ 362}$

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Example Question #22 : Fluently Add And Subtract Multi Digit Numbers: Ccss.Math.Content.4.Nbt.B.4

Solve:

$\frac{\begin{array}[b]{r}385\\ -\ 231\end{array}}{\space }$ $\displaystyle \frac{\begin{array}[b]{r}385\\ -\ 231\end{array}}{\space }$

Possible Answers:

155 $\displaystyle 155$

152 $\displaystyle 152$

153 $\displaystyle 153$

154 $\displaystyle 154$

Correct answer:

154 $\displaystyle 154$

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:

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

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

$\frac{\begin{array}[b]{r}8\\ -\ 3\end{array}}{\ \ \ 5 }$ $\displaystyle \frac{\begin{array}[b]{r}8\\ -\ 3\end{array}}{\ \ \ 5 }$

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

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

Your final answer should be 154 $\displaystyle 154$

$\frac{\begin{array}[b]{r}385\\ -\ 231\end{array}}{\ \ \ 154}$ $\displaystyle \frac{\begin{array}[b]{r}385\\ -\ 231\end{array}}{\ \ \ 154}$

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Example Question #11 : Subtracting Multi Digit Numbers

Solve:

$\frac{\begin{array}[b]{r}566\\ -\ 123\end{array}}{\space }$ $\displaystyle \frac{\begin{array}[b]{r}566\\ -\ 123\end{array}}{\space }$

Possible Answers:

445 $\displaystyle 445$

446 $\displaystyle 446$

444 $\displaystyle 444$

443 $\displaystyle 443$

Correct answer:

443 $\displaystyle 443$

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:

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

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

$\frac{\begin{array}[b]{r}6\\ -\ 2\end{array}}{\ \ \ 4 }$ $\displaystyle \frac{\begin{array}[b]{r}6\\ -\ 2\end{array}}{\ \ \ 4 }$

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

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

Your final answer should be 443 $\displaystyle 443$

$\frac{\begin{array}[b]{r}566\\ -\ 123\end{array}}{\ \ \ \ 443}$ $\displaystyle \frac{\begin{array}[b]{r}566\\ -\ 123\end{array}}{\ \ \ \ 443}$

Report an Error

Example Question #12 : Subtracting Multi Digit Numbers

Solve the following:

$\frac{\begin{array}[b]{r}417\\ -\ 250\end{array}}{\space }$ $\displaystyle \frac{\begin{array}[b]{r}417\\ -\ 250\end{array}}{\space }$

Possible Answers:

167 $\displaystyle 167$

166 $\displaystyle 166$

169 $\displaystyle 169$

168 $\displaystyle 168$

Correct answer:

167 $\displaystyle 167$

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:

$\frac{\begin{array}[b]{r}7\\ -\ 0\end{array}}{\ \ \ 7 }$ $\displaystyle \frac{\begin{array}[b]{r}7\\ -\ 0\end{array}}{\ \ \ 7 }$

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

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

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 $\displaystyle 5$ away from $\displaystyle 1$ since $\displaystyle 1$ is the smaller number. In this case, we are going to look to the $\displaystyle 4$. We only ever need to take $\displaystyle 1$ away from the number to the left. For this problem, that will leave us with a $\displaystyle 3$ to replace the $\displaystyle 4$. So far, your work should look something like this:

$\frac{\begin{array}[b]{r}^{3} \not417\\ -\ 250\end{array}}{\space }$ $\displaystyle \frac{\begin{array}[b]{r}^{3} \not417\\ -\ 250\end{array}}{\space }$

Remember, we've borrowed $\displaystyle 1$ from the hundreds place, so we can put a $\displaystyle 1$ in front of the number in the tens place. So far, your work should look something like this:

$\frac{\begin{array}[b]{r}^{3} \not4\ ^{11}\not1\ \ \ \ \ 7\\ -\ 2 \ \ \ \ \ 5\ \ \ \ \ 0\end{array}}{\space }$ $\displaystyle \frac{\begin{array}[b]{r}^{3} \not4\ ^{11}\not1\ \ \ \ \ 7\\ -\ 2 \ \ \ \ \ 5\ \ \ \ \ 0\end{array}}{\space }$

Now, we can subtract the numbers in the tens place:

$\frac{\begin{array}[b]{r}11\\ -\ 5\end{array}}{\ \ \ 6}$ $\displaystyle \frac{\begin{array}[b]{r}11\\ -\ 5\end{array}}{\ \ \ 6}$

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

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

Your final answer should be 167 $\displaystyle 167$

$\frac{\begin{array}[b]{r}^{3} \not4\ ^{11}\not1\ \ \ \ \ 7\\ -\ 2 \ \ \ \ \ 5\ \ \ \ \ 0\end{array}}{\ \ \ \ 1 \ \ \ \ \ 6\ \ \ \ \ 7}$ $\displaystyle \frac{\begin{array}[b]{r}^{3} \not4\ ^{11}\not1\ \ \ \ \ 7\\ -\ 2 \ \ \ \ \ 5\ \ \ \ \ 0\end{array}}{\ \ \ \ 1 \ \ \ \ \ 6\ \ \ \ \ 7}$

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Example Question #1301 : Common Core Math: Grade 4

What is the length of a rectangular room with a perimeter of 42ft $\displaystyle 42ft$ and a width of 7ft? $\displaystyle 7ft?$

Possible Answers:

12ft $\displaystyle 12ft$

28ft $\displaystyle 28ft$

18ft $\displaystyle 18ft$

14ft $\displaystyle 14ft$

22ft $\displaystyle 22ft$

Correct answer:

14ft $\displaystyle 14ft$

Explanation:

$\displaystyle P=2l+ 2w$

We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.

$\displaystyle 42=2l+2(7)$

$\displaystyle 42=2l+14$

Subtract $\displaystyle 14$ from both sides

$\displaystyle 42-14=2l+14-14$

28=2l $\displaystyle 28=2l$

Divide $\displaystyle 2$ by both sides

$\frac{28}{2}=\frac{2l}{2}$ $\displaystyle \frac{28}{2}=\frac{2l}{2}$

14=l $\displaystyle 14=l$

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Example Question #1302 : Common Core Math: Grade 4

What is the length of a rectangular room with a perimeter of 62ft $\displaystyle 62ft$ and a width of 8ft? $\displaystyle 8ft?$

Possible Answers:

38ft $\displaystyle 38ft$

23ft $\displaystyle 23ft$

46ft $\displaystyle 46ft$

40ft $\displaystyle 40ft$

37ft $\displaystyle 37ft$

Correct answer:

23ft $\displaystyle 23ft$

Explanation:

$\displaystyle P=2l+ 2w$

We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.

$\displaystyle 62=2l+2(8)$

$\displaystyle 62=2l+16$

Subtract $\displaystyle 16$ from both sides

$\displaystyle 62-16=2l+16-16$

46=2l $\displaystyle 46=2l$

Divide $\displaystyle 2$ by both sides

$\frac{46}{2}=\frac{2l}{2}$ $\displaystyle \frac{46}{2}=\frac{2l}{2}$

23=l $\displaystyle 23=l$

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Example Question #2 : Apply Area And Perimeter Formulas For Rectangles: Ccss.Math.Content.4.Md.A.3

What is the length of a rectangular room with a perimeter of 92ft $\displaystyle 92ft$ and a width of 21ft? $\displaystyle 21ft?$

Possible Answers:

25ft $\displaystyle 25ft$

30ft $\displaystyle 30ft$

40ft $\displaystyle 40ft$

45ft $\displaystyle 45ft$

50ft $\displaystyle 50ft$

Correct answer:

25ft $\displaystyle 25ft$

Explanation:

$\displaystyle P=2l+ 2w$

We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.

$\displaystyle 92=2l+2(21)$

$\displaystyle 92=2l+42$

Subtract $\displaystyle 42$ from both sides

$\displaystyle 92-42=2l+42-42$

50=2l $\displaystyle 50=2l$

Divide $\displaystyle 2$ by both sides

$\frac{50}{2}=\frac{2l}{2}$ $\displaystyle \frac{50}{2}=\frac{2l}{2}$

25=l $\displaystyle 25=l$

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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 #1 : Subtracting Multi Digit Numbers

Example Question #2 : Subtracting Multi Digit Numbers

Example Question #3 : Subtracting Multi Digit Numbers

Example Question #21 : Fluently Add And Subtract Multi Digit Numbers: Ccss.Math.Content.4.Nbt.B.4

Example Question #22 : Fluently Add And Subtract Multi Digit Numbers: Ccss.Math.Content.4.Nbt.B.4

Example Question #11 : Subtracting Multi Digit Numbers

Example Question #12 : Subtracting Multi Digit Numbers

Example Question #1301 : Common Core Math: Grade 4

Example Question #1302 : Common Core Math: Grade 4

Example Question #2 : Apply Area And Perimeter Formulas For Rectangles: Ccss.Math.Content.4.Md.A.3

All Common Core: 4th Grade Math Resources

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