Fluently Multiply Multi-Digit Whole Numbers: CCSS.Math.Content.5.NBT.B.5 - 5th Grade Math

Card 0 of 532

Question

$45\times 5=$

$36\times 3=$

Answer

No explanation available

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Question

Solve:

$\frac{\begin{array}[b]{r}1 3\ \times\ 11\end{array}}{\ \ \ \ }$

Answer

In order to solve this problem using multiplication, we must multiply each digit of the multiplier by each digit of the multiplicand to get the answer, which is called the product.

$\frac{\begin{array}[b]{r}\textup{multiplicand}\ \times\ \ \ \ \textup{multiplier}\end{array}}{\ \ \ \ \textup{product}}$

For this problem, is the multiplier and is the multiplicand. We start with the multiplier, and multiply the digit in the ones place by each digit of the multiplicand.

First, we multiply and

$\frac{\begin{array}[b]{r}1{\color{Red} 3}\ \times\ {1\color{Red} 1}\end{array}}{\ \ \ \ \ 3}$

Then, we multiply and

$\frac{\begin{array}[b]{r}{\color{Red} 1}3\ \times\ {1\color{Red} 1}\end{array}}{\ \ \ 13}$

Now, we multiply the digit in the tens place of the multiplier by each digit of the multiplicand. In order to do this, we need to start a new line in our math problem and put a as a place holder in the ones position.

$\frac{\begin{array}[b]{r}1 3\ \times\ 11\end{array}}{\ \ \ 13 }\ {\ \ \ \ \ \ \ \ \ \ \ 0}$

Next, we multiply and

$\frac{\begin{array}[b]{r}1 {\color{Red} 3}\ \times\ {\color{Red} 1}1\end{array}}{\ \ \ 13 }\ {\ \ \ \ \ \ \ \ \ 30}$

Then, we multiply and

$\frac{\begin{array}[b]{r}{\color{Red} 1} {\color{Black} 3}\ \times\ {\color{Red} 1}1\end{array}}{\ \ \ 13 }\ {\ \ \ \ \ \ \ \ 1 30}$

Finally, we add the two products together to find our final answer

$\frac{\begin{array}[b]{r}13\ \times \ \ \ 11\end{array}}{\frac{\begin{array}[b]{r}{\color{Red} 13}\ \ +\ {\color{Red} 130} \end{array}}{\ }} \ {\ \ \ \ \ \ \ \ \ \ \ 143}$

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Question

Solve:

$\frac{\begin{array}[b]{r}21\ \times\ 17\end{array}}{\ \ \ \ }$

Answer

In order to solve this problem using multiplication, we must multiply each digit of the multiplier by each digit of the multiplicand to get the answer, which is called the product.

$\frac{\begin{array}[b]{r}\textup{multiplicand}\ \times\ \ \ \ \textup{multiplier}\end{array}}{\ \ \ \ \textup{product}}$

For this problem, is the multiplier and is the multiplicand. We start with the multiplier, and multiply the digit in the ones place by each digit of the multiplicand.

First, we multiply and

$\frac{\begin{array}[b]{r}2{\color{Red} 1}\ \times\ {1\color{Red} 7}\end{array}}{\ \ \ \ \ 7}$

Then, we multiply and

$\frac{\begin{array}[b]{r}{\color{Red} 2}1\ \times\ {1\color{Red} 7}\end{array}}{\ \ 147}$

Now, we multiply the digit in the tens place of the multiplier by each digit of the multiplicand. In order to do this, we need to start a new line in our math problem and put a as a place holder in the ones position.

$\frac{\begin{array}[b]{r}21\ \times\ 17\end{array}}{\ \ 147 }\ {\ \ \ \ \ \ \ \ \ \ \ 0}$

Next, we multiply and

$\frac{\begin{array}[b]{r}2 {\color{Red} 1}\ \times\ {\color{Red} 1}7\end{array}}{\ \ 147 }\ {\ \ \ \ \ \ \ \ \ \ 10}$

Then, we multiply and

$\frac{\begin{array}[b]{r}{\color{Red} 2} {\color{Black} 1}\ \times\ {\color{Red} 1}7\end{array}}{\ \ 147 }\ {\ \ \ \ \ \ \ \ 210}$

Finally, we add the two products together to find our final answer

$\frac{\begin{array}[b]{r}21\ \times \ \ \ 17\end{array}}{\frac{\begin{array}[b]{r}{\color{Red} 147}\ \ +\ {\color{Red} 210} \end{array}}{\ }} \ {\ \ \ \ \ \ \ \ \ \ \ 357}$

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Question

Solve:

$\frac{\begin{array}[b]{r}3 6\ \times\ 12\end{array}}{\ \ \ \ }$

Answer

In order to solve this problem using multiplication, we must multiply each digit of the multiplier by each digit of the multiplicand to get the answer, which is called the product.

$\frac{\begin{array}[b]{r}\textup{multiplicand}\ \times\ \ \ \ \textup{multiplier}\end{array}}{\ \ \ \ \textup{product}}$

For this problem, is the multiplier and is the multiplicand. We start with the multiplier, and multiply the digit in the ones place by each digit of the multiplicand.

First, we multiply and

$\frac{\begin{array}[b]{r}^13{\color{Red} 6}\ \times\ {1\color{Red} 2}\end{array}}{\ \ \ \ \ 2}$

Then, we multiply and and add the that was carried

$\frac{\begin{array}[b]{r}^{\color{Red} 1}{\color{Red} 3}6\ \times\ {1\color{Red} 2}\end{array}}{\ \ \ \ 72}$

Now, we multiply the digit in the tens place of the multiplier by each digit of the multiplicand. In order to do this, we need to start a new line in our math problem and put a as a place holder in the ones position.

$\frac{\begin{array}[b]{r}3 6\ \times\ 12\end{array}}{\ \ \ 72 }\ {\ \ \ \ \ \ \ \ \ \ \ 0}$

Next, we multiply and

$\frac{\begin{array}[b]{r}3 {\color{Red} 6}\ \times\ {\color{Red} 1}2\end{array}}{\ \ \ 72 }\ {\ \ \ \ \ \ \ \ \ 60}$

Then, we multiply and

$\frac{\begin{array}[b]{r}{\color{Red} 3} {\color{Black} 6}\ \times\ {\color{Red} 1}2\end{array}}{\ \ \ 72 }\ {\ \ \ \ \ \ \ \ 360}$

Finally, we add the two products together to find our final answer

$\frac{\begin{array}[b]{r}36\ \times \ \ \ 12\end{array}}{\frac{\begin{array}[b]{r}{\color{Red} 72}\ \ +\ {\color{Red} 360} \end{array}}{\ }} \ {\ \ \ \ \ \ \ \ \ \ \ 432}$

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Question

Solve:

$\frac{\begin{array}[b]{r}3 3\ \times\ 23\end{array}}{\ \ \ \ }$

Answer

In order to solve this problem using multiplication, we must multiply each digit of the multiplier by each digit of the multiplicand to get the answer, which is called the product.

$\frac{\begin{array}[b]{r}\textup{multiplicand}\ \times\ \ \ \ \textup{multiplier}\end{array}}{\ \ \ \ \textup{product}}$

For this problem, is the multiplier and is the multiplicand. We start with the multiplier, and multiply the digit in the ones place by each digit of the multiplicand.

First, we multiply and

$\frac{\begin{array}[b]{r}3{\color{Red} 3}\ \times\ {2\color{Red} 3}\end{array}}{\ \ \ \ \ 9}$

Then, we multiply and

$\frac{\begin{array}[b]{r}{\color{Red} 3}3\ \times\ {2\color{Red} 3}\end{array}}{\ \ \ 99}$

Now, we multiply the digit in the tens place of the multiplier by each digit of the multiplicand. In order to do this, we need to start a new line in our math problem and put a as a place holder in the ones position.

$\frac{\begin{array}[b]{r}3 3\ \times\ 23\end{array}}{\ \ \ 99 }\ {\ \ \ \ \ \ \ \ \ \ \ 0}$

Next, we multiply and

$\frac{\begin{array}[b]{r}3 {\color{Red} 3}\ \times\ {\color{Red} 2}3\end{array}}{\ \ \ 99 }\ {\ \ \ \ \ \ \ \ \ 60}$

Then, we multiply and

$\frac{\begin{array}[b]{r}{\color{Red} 3} {\color{Black} 3}\ \times\ {\color{Red} 2}3\end{array}}{\ \ \ 99 }\ {\ \ \ \ \ \ \ \ 660}$

Finally, we add the two products together to find our final answer

$\frac{\begin{array}[b]{r}33\ \times \ \ \ 23\end{array}}{\frac{\begin{array}[b]{r}{\color{Red} 99}\ \ +\ {\color{Red} 660} \end{array}}{\ }} \ {\ \ \ \ \ \ \ \ \ \ \ 759}$

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Question

Solve:

$\frac{\begin{array}[b]{r}14\ \times\ 22\end{array}}{\ \ \ \ }$

Answer

In order to solve this problem using multiplication, we must multiply each digit of the multiplier by each digit of the multiplicand to get the answer, which is called the product.

$\frac{\begin{array}[b]{r}\textup{multiplicand}\ \times\ \ \ \ \textup{multiplier}\end{array}}{\ \ \ \ \textup{product}}$

For this problem, is the multiplier and is the multiplicand. We start with the multiplier, and multiply the digit in the ones place by each digit of the multiplicand.

First, we multiply and

$\frac{\begin{array}[b]{r}1{\color{Red} 4}\ \times\ {2\color{Red} 2}\end{array}}{\ \ \ \ \ 8}$

Then, we multiply and

$\frac{\begin{array}[b]{r}{\color{Red} 1}4\ \times\ {2\color{Red} 2}\end{array}}{\ \ \ 28}$

Now, we multiply the digit in the tens place of the multiplier by each digit of the multiplicand. In order to do this, we need to start a new line in our math problem and put a as a place holder in the ones position.

$\frac{\begin{array}[b]{r}1 4\ \times\ 22\end{array}}{\ \ \ 28 }\ {\ \ \ \ \ \ \ \ \ \ \ 0}$

Next, we multiply and

$\frac{\begin{array}[b]{r}1 {\color{Red} 4}\ \times\ {\color{Red} 2}2\end{array}}{\ \ \ 28 }\ {\ \ \ \ \ \ \ \ \ 80}$

Then, we multiply and

$\frac{\begin{array}[b]{r}{\color{Red} 1} {\color{Black} 4}\ \times\ {\color{Red} 2}2\end{array}}{\ \ \ 28 }\ {\ \ \ \ \ \ \ \ 280}$

Finally, we add the two products together to find our final answer

$\frac{\begin{array}[b]{r}14\ \times \ \ \ 22\end{array}}{\frac{\begin{array}[b]{r}{\color{Red} 28}\ \ +\ {\color{Red} 280} \end{array}}{\ }} \ {\ \ \ \ \ \ \ \ \ \ \ 308}$

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Question

Solve:

$\frac{\begin{array}[b]{r}43\ \times\ 35\end{array}}{\ \ \ \ }$

Answer

In order to solve this problem using multiplication, we must multiply each digit of the multiplier by each digit of the multiplicand to get the answer, which is called the product.

$\frac{\begin{array}[b]{r}\textup{multiplicand}\ \times\ \ \ \ \textup{multiplier}\end{array}}{\ \ \ \ \textup{product}}$

For this problem, is the multiplier and is the multiplicand. We start with the multiplier, and multiply the digit in the ones place by each digit of the multiplicand.

First, we multiply and

$\frac{\begin{array}[b]{r}^14{\color{Red} 3}\ \times\ {3\color{Red} 5}\end{array}}{\ \ \ \ \ 5}$

Then, we multiply and and add the that was carried

$\frac{\begin{array}[b]{r}^{\color{Red} 1}{\color{Red} 4}3\ \times\ {3\color{Red} 5}\end{array}}{\ \ \ 215}$

Now, we multiply the digit in the tens place of the multiplier by each digit of the multiplicand. In order to do this, we need to start a new line in our math problem and put a as a place holder in the ones position.

$\frac{\begin{array}[b]{r}43\ \times\ 35\end{array}}{\ \ \ 215 }\ {\ \ \ \ \ \ \ \ \ \ \ \ 0}$

Next, we multiply and

$\frac{\begin{array}[b]{r}4 {\color{Red} 3}\ \times\ {\color{Red} 3}5\end{array}}{\ \ \ 215 }\ {\ \ \ \ \ \ \ \ \ \ 90}$

Then, we multiply and

$\frac{\begin{array}[b]{r}{\color{Red} 4} {\color{Black} 3}\ \times\ {\color{Red} 3}5\end{array}}{\ \ \ 215 }\ {\ \ \ \ \ \ \ 1290}$

Finally, we add the two products together to find our final answer

$\frac{\begin{array}[b]{r}43\ \times \ \ \ 35\end{array}}{\frac{\begin{array}[b]{r}{\color{Red} 215}\ \ +\ {\color{Red} 1290} \end{array}}{\ }} \ {\ \ \ \ \ \ \ \ \ \ \ 1505}$

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Question

Solve:

$\frac{\begin{array}[b]{r}40\ \times\ 10\end{array}}{\ \ \ \ }$

Answer

In order to solve this problem using multiplication, we must multiply each digit of the multiplier by each digit of the multiplicand to get the answer, which is called the product.

$\frac{\begin{array}[b]{r}\textup{multiplicand}\ \times\ \ \ \ \textup{multiplier}\end{array}}{\ \ \ \ \textup{product}}$

For this problem, is the multiplier and is the multiplicand. We start with the multiplier, and multiply the digit in the ones place by each digit of the multiplicand.

First, we multiply and

$\frac{\begin{array}[b]{r}4{\color{Red} 0}\ \times\ {1\color{Red} 0}\end{array}}{\ \ \ \ \ 0}$

Then, we multiply and

$\frac{\begin{array}[b]{r}{\color{Red}4}0\ \times\ {1\color{Red} 0}\end{array}}{\ \ \ 00}$

Now, we multiply the digit in the tens place of the multiplier by each digit of the multiplicand. In order to do this, we need to start a new line in our math problem and put a as a place holder in the ones position.

$\frac{\begin{array}[b]{r}40\ \times\ 10\end{array}}{\ \ \ 00 }\ {\ \ \ \ \ \ \ \ \ \ \ 0}$

Next, we multiply and

$\frac{\begin{array}[b]{r}4 {\color{Red} 0}\ \times\ {\color{Red} 1}0\end{array}}{\ \ \ \ 00 }\ {\ \ \ \ \ \ \ \ \ \ 00}$

Then, we multiply and

$\frac{\begin{array}[b]{r}{\color{Red} 4} {\color{Black} 0}\ \times\ {\color{Red} 1}0\end{array}}{\ \ \ \ 00 }\ {\ \ \ \ \ \ \ \ 400}$

Finally, we add the two products together to find our final answer

$\frac{\begin{array}[b]{r}40\ \times \ \ \ 10\end{array}}{\frac{\begin{array}[b]{r}{\color{Red} 00}\ \ +\ {\color{Red} 400} \end{array}}{\ }} \ {\ \ \ \ \ \ \ \ \ \ \ 400}$

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Question

Solve:

$\frac{\begin{array}[b]{r}52\ \times\ 43\end{array}}{\ \ \ \ }$

Answer

In order to solve this problem using multiplication, we must multiply each digit of the multiplier by each digit of the multiplicand to get the answer, which is called the product.

$\frac{\begin{array}[b]{r}\textup{multiplicand}\ \times\ \ \ \ \textup{multiplier}\end{array}}{\ \ \ \ \textup{product}}$

For this problem, is the multiplier and is the multiplicand. We start with the multiplier, and multiply the digit in the ones place by each digit of the multiplicand.

First, we multiply and

$\frac{\begin{array}[b]{r}5{\color{Red} 2}\ \times\ {4\color{Red} 3}\end{array}}{\ \ \ \ \ 6}$

Then, we multiply and

$\frac{\begin{array}[b]{r}{\color{Red} 5}2\ \times\ {4\color{Red} 3}\end{array}}{\ \ 156}$

Now, we multiply the digit in the tens place of the multiplier by each digit of the multiplicand. In order to do this, we need to start a new line in our math problem and put a as a place holder in the ones position.

$\frac{\begin{array}[b]{r}52\ \times\ 43\end{array}}{\ \ 156 }\ {\ \ \ \ \ \ \ \ \ \ \ 0}$

Next, we multiply and

$\frac{\begin{array}[b]{r}5 {\color{Red} 2}\ \times\ {\color{Red} 4}3\end{array}}{\ \ 156 }\ {\ \ \ \ \ \ \ \ \ \ 80}$

Then, we multiply and

$\frac{\begin{array}[b]{r}{\color{Red} 5} {\color{Black} 2}\ \times\ {\color{Red} 4}3\end{array}}{\ \ 156 }\ {\ \ \ \ \ \ \ 2080}$

Finally, we add the two products together to find our final answer

$\frac{\begin{array}[b]{r}52\ \times \ \ \ 43\end{array}}{\frac{\begin{array}[b]{r}{\color{Red} 156}\ \ +\ {\color{Red} 2080} \end{array}}{\ }} \ {\ \ \ \ \ \ \ \ \ \ \ 2236}$

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Question

Solve:

$\frac{\begin{array}[b]{r}56\ \times\ 17\end{array}}{\ \ \ \ }$

Answer

In order to solve this problem using multiplication, we must multiply each digit of the multiplier by each digit of the multiplicand to get the answer, which is called the product.

$\frac{\begin{array}[b]{r}\textup{multiplicand}\ \times\ \ \ \ \textup{multiplier}\end{array}}{\ \ \ \ \textup{product}}$

For this problem, is the multiplier and is the multiplicand. We start with the multiplier, and multiply the digit in the ones place by each digit of the multiplicand.

First, we multiply and

$\frac{\begin{array}[b]{r}^45{\color{Red} 6}\ \times\ {1\color{Red} 7}\end{array}}{\ \ \ \ \ 2}$

Then, we multiply and and add the that was carried

$\frac{\begin{array}[b]{r}^{\color{Red} 4}{\color{Red} 5}6\ \times\ {1\color{Red} 7}\end{array}}{\ \ 392}$

Now, we multiply the digit in the tens place of the multiplier by each digit of the multiplicand. In order to do this, we need to start a new line in our math problem and put a as a place holder in the ones position.

$\frac{\begin{array}[b]{r}5 6\ \times\ 17\end{array}}{\ \ 392 }\ {\ \ \ \ \ \ \ \ \ \ \ 0}$

Next, we multiply and

$\frac{\begin{array}[b]{r}5 {\color{Red} 6}\ \times\ {\color{Red} 1}7\end{array}}{\ \ 392 }\ {\ \ \ \ \ \ \ \ \ \ 60}$

Then, we multiply and

$\frac{\begin{array}[b]{r}{\color{Red} 5} {\color{Black} 6}\ \times\ {\color{Red} 1}7\end{array}}{\ \ 392 }\ {\ \ \ \ \ \ \ \ 560}$

Finally, we add the two products together to find our final answer

$\frac{\begin{array}[b]{r}56\ \times \ \ \ 17\end{array}}{\frac{\begin{array}[b]{r}{\color{Red} 392}\ \ +\ {\color{Red} 560} \end{array}}{\ }} \ {\ \ \ \ \ \ \ \ \ \ \ 952}$

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Question

Solve:

$\frac{\begin{array}[b]{r} 47\ \times\ 12\end{array}}{\ \ \ \ }$

Answer

In order to solve this problem using multiplication, we must multiply each digit of the multiplier by each digit of the multiplicand to get the answer, which is called the product.

$\frac{\begin{array}[b]{r}\textup{multiplicand}\ \times\ \ \ \ \textup{multiplier}\end{array}}{\ \ \ \ \textup{product}}$

For this problem, is the multiplier and is the multiplicand. We start with the multiplier, and multiply the digit in the ones place by each digit of the multiplicand.

First, we multiply and

$\frac{\begin{array}[b]{r}^14{\color{Red} 7}\ \times\ {1\color{Red} 2}\end{array}}{\ \ \ \ \ 4}$

Then, we multiply and and add the that was carried

$\frac{\begin{array}[b]{r}^{\color{Red} 1}{\color{Red} 4}7\ \times\ {1\color{Red} 2}\end{array}}{\ \ \ \ 94}$

Now, we multiply the digit in the tens place of the multiplier by each digit of the multiplicand. In order to do this, we need to start a new line in our math problem and put a as a place holder in the ones position.

$\frac{\begin{array}[b]{r}47\ \times\ 12\end{array}}{\ \ \ 94 }\ {\ \ \ \ \ \ \ \ \ \ \ 0}$

Next, we multiply and

$\frac{\begin{array}[b]{r}4 {\color{Red} 7}\ \times\ {\color{Red} 1}2\end{array}}{\ \ \ 94 }\ {\ \ \ \ \ \ \ \ \ 70}$

Then, we multiply and

$\frac{\begin{array}[b]{r}{\color{Red} 4} {\color{Black} 7}\ \times\ {\color{Red} 1}2\end{array}}{\ \ \ 94 }\ {\ \ \ \ \ \ \ \ 470}$

Finally, we add the two products together to find our final answer

$\frac{\begin{array}[b]{r}47\ \times \ \ \ 12\end{array}}{\frac{\begin{array}[b]{r}{\color{Red} 94}\ \ +\ {\color{Red} 470} \end{array}}{\ }} \ {\ \ \ \ \ \ \ \ \ \ \ 564}$

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Question

Solve:

$\frac{\begin{array}[b]{r}15\ \times\ 11\end{array}}{\ \ \ \ }$

Answer

In order to solve this problem using multiplication, we must multiply each digit of the multiplier by each digit of the multiplicand to get the answer, which is called the product.

$\frac{\begin{array}[b]{r}\textup{multiplicand}\ \times\ \ \ \ \textup{multiplier}\end{array}}{\ \ \ \ \textup{product}}$

For this problem, is the multiplier and is the multiplicand. We start with the multiplier, and multiply the digit in the ones place by each digit of the multiplicand.

First, we multiply and

$\frac{\begin{array}[b]{r}1{\color{Red} 5}\ \times\ {1\color{Red} 1}\end{array}}{\ \ \ \ \ 5}$

Then, we multiply and

$\frac{\begin{array}[b]{r}{\color{Red} 1}5\ \times\ {1\color{Red} 1}\end{array}}{\ \ \ 15}$

Now, we multiply the digit in the tens place of the multiplier by each digit of the multiplicand. In order to do this, we need to start a new line in our math problem and put a as a place holder in the ones position.

$\frac{\begin{array}[b]{r}15\ \times\ 11\end{array}}{\ \ \ 15 }\ {\ \ \ \ \ \ \ \ \ \ \ 0}$

Next, we multiply and

$\frac{\begin{array}[b]{r}1 {\color{Red} 5}\ \times\ {\color{Red} 1}1\end{array}}{\ \ \ 15 }\ {\ \ \ \ \ \ \ \ \ 50}$

Then, we multiply and

$\frac{\begin{array}[b]{r}{\color{Red} 1} {\color{Black} 5}\ \times\ {\color{Red} 1}1\end{array}}{\ \ \ 15 }\ {\ \ \ \ \ \ \ \ 150}$

Finally, we add the two products together to find our final answer

$\frac{\begin{array}[b]{r}15\ \times \ \ \ 11\end{array}}{\frac{\begin{array}[b]{r}{\color{Red} 15}\ \ +\ {\color{Red} 150} \end{array}}{\ }} \ {\ \ \ \ \ \ \ \ \ \ \ 165}$

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Question

Solve:

$\frac{\begin{array}[b]{r}30\ \times\ 20\end{array}}{\ \ \ \ }$

Answer

In order to solve this problem using multiplication, we must multiply each digit of the multiplier by each digit of the multiplicand to get the answer, which is called the product.

$\frac{\begin{array}[b]{r}\textup{multiplicand}\ \times\ \ \ \ \textup{multiplier}\end{array}}{\ \ \ \ \textup{product}}$

For this problem, is the multiplier and is the multiplicand. We start with the multiplier, and multiply the digit in the ones place by each digit of the multiplicand.

First, we multiply and

$\frac{\begin{array}[b]{r}3{\color{Red} 0}\ \times\ {2\color{Red} 0}\end{array}}{\ \ \ \ \ 0}$

Then, we multiply and

$\frac{\begin{array}[b]{r}{\color{Red} 3}0\ \times\ {2\color{Red} 0}\end{array}}{\ \ \ 00}$

Now, we multiply the digit in the tens place of the multiplier by each digit of the multiplicand. In order to do this, we need to start a new line in our math problem and put a as a place holder in the ones position.

$\frac{\begin{array}[b]{r}30\ \times\ 20\end{array}}{\ \ \ 00 }\ {\ \ \ \ \ \ \ \ \ \ \ 0}$

Next, we multiply and

$\frac{\begin{array}[b]{r}3 {\color{Red} 0}\ \times\ {\color{Red} 2}0\end{array}}{\ \ \ 00 }\ {\ \ \ \ \ \ \ \ \ 00}$

Then, we multiply and

$\frac{\begin{array}[b]{r}{\color{Red} 3} {\color{Black} 0}\ \times\ {\color{Red} 2}0\end{array}}{\ \ \ 00 }\ {\ \ \ \ \ \ \ \ 600}$

Finally, we add the two products together to find our final answer

$\frac{\begin{array}[b]{r}30\ \times \ \ \ 20\end{array}}{\frac{\begin{array}[b]{r}{\color{Red} 00}\ \ +\ {\color{Red} 600} \end{array}}{\ }} \ {\ \ \ \ \ \ \ \ \ \ \ 600}$

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Question

Solve:

$\begin{array}{r}\overset{~ \space{\ }}{\ 5} \space{,}1\ \times\phantom{0}3\space{,}5 \ \hline \phantom{,}\end{array}$

Answer

In order to solve this problem using multiplication, we must multiply each digit of the multiplier by each digit of the multiplicand to get the answer, which is called the product.

$\frac{\begin{array}[b]{r}\textup{multiplicand}\ \times\ \ \ \ \textup{multiplier}\end{array}}{\ \ \ \ \textup{product}}$

For this problem, 35 is the multiplier and 51 is the multiplicand. We start with the multiplier, and multiply the digit in the ones place by each digit of the multiplicand.

First, we multiply 5 and 1

$\begin{array}{r}\overset{~ \space{\ }}{\ 5} \space{,}1\ \times \phantom{0} 3\space{,}5 \ \hline \phantom{,} ,5\end{array}$

Then, we multiply 5 and 5

$\begin{array}{r}\overset{~ \space{\ }}{\ 5} \space{,}1\ \times \phantom{0} 3\space{,}5 \ \hline \phantom{,}2,5,5\end{array}$

Now, we multiply the digit in the tens place of the multiplier by each digit of the multiplicand. In order to do this, we need to start a new line in our math problem and put a 0 as a place holder in the ones position.

$\begin{array}{r}\overset{~ \space{\ }}{\ 5} \space{,}1\ \times \phantom{0} 3\space{,}5 \ \hline \phantom{,}2,5,5 \ , 0 \end{array}$

Next, we multiply 3 and 1

$\begin{array}{r}\overset{~ \space{\ }}{\ 5} \space{,}1\ \times \phantom{0} 3\space{,}5 \ \hline \phantom{,}2,5,5 \ , 3 , 0\end{array}$

Then, we multiply 3 and 5

$\begin{array}{r}\overset{~ \space{\ }}{\ 5} \space{,}1\ \times \phantom{0} 3\space{,}5 \ \hline \phantom{,}2,5,5 \ , 1, 5, 3 , 0\end{array}$

Finally, we add the two products together to find our final answer

$\begin{array}{r}\overset{~ \space{\ }}{\ 5} \space{,}1\ \times \phantom{0} 3\space{,}5 \ \hline \phantom{,}2,5,5 \+, 1, 5, 3 , 0\ \hline 1, 7 , 8, 5\end{array}$

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Question

Solve:

$\begin{array}{r}\overset{~ \space{\ }}{\ 5} \space{,}4\ \times\phantom{0}6\space{,}8 \ \hline \phantom{,}\end{array}$

Answer

In order to solve this problem using multiplication, we must multiply each digit of the multiplier by each digit of the multiplicand to get the answer, which is called the product.

$\frac{\begin{array}[b]{r}\textup{multiplicand}\ \times\ \ \ \ \textup{multiplier}\end{array}}{\ \ \ \ \textup{product}}$

For this problem, 68 is the multiplier and 54 is the multiplicand. We start with the multiplier, and multiply the digit in the ones place by each digit of the multiplicand.

First, we multiply 8 and 4

$\begin{array}{r}\overset{3 \space{\ }}{\ 5} \space{,}4\ \times \phantom{0} 6\space{,}8\ \hline \phantom{,} ,2\end{array}$

Then, we multiply 8 and 5 and add the 3 that was carried

$\begin{array}{r}\overset{3 \space{\ }}{\ 5} \space{,}4\ \times \phantom{0} 6\space{,}8 \ \hline \phantom{,}4,3,2\end{array}$

Now, we multiply the digit in the tens place of the multiplier by each digit of the multiplicand. In order to do this, we need to start a new line in our math problem and put a 0 as a place holder in the ones position.

$\begin{array}{r}\overset{~ \space{\ }}{\ 5} \space{,}4\ \times \phantom{0} 6\space{,}8 \ \hline \phantom{,}4,3,2 \ , 0 \end{array}$

Next, we multiply 6 and 4

$\begin{array}{r}\overset{2 \space{\ }}{\ 5} \space{,}4\ \times \phantom{0} 6\space{,}8 \ \hline \phantom{,}4,3,2 \ , 4 , 0\end{array}$

Then, we multiply 6 and 5and add the 2 that was carried

$\begin{array}{r}\overset{2 \space{\ }}{\ 5} \space{,}4\ \times \phantom{0} 6\space{,}8 \ \hline \phantom{,}4,3,2 \ , 3 , 2 , 4 , 0\end{array}$

Finally, we add the two products together to find our final answer

$\begin{array}{r}\overset{2 \space{\ }}{\ 5} \space{,}4\ \times \phantom{0} 6\space{,}8 \ \hline \phantom{,}4,3,2 \+, 3 , 2 , 4 , 0\ \hline 3, 6 , 7, 2\end{array}$

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Question

Solve:

$\begin{array}{r}\overset{~ \space{\ }}{\ 5} \space{,}4\ \times\phantom{0}8\space{,}3 \ \hline \phantom{,}\end{array}$

Answer

In order to solve this problem using multiplication, we must multiply each digit of the multiplier by each digit of the multiplicand to get the answer, which is called the product.

$\frac{\begin{array}[b]{r}\textup{multiplicand}\ \times\ \ \ \ \textup{multiplier}\end{array}}{\ \ \ \ \textup{product}}$

For this problem, 83 is the multiplier and 54 is the multiplicand. We start with the multiplier, and multiply the digit in the ones place by each digit of the multiplicand.

First, we multiply 3 and 4

$\begin{array}{r}\overset{1 \space{\ }}{\ 5} \space{,}4\ \times \phantom{0} 8\space{,}3\ \hline \phantom{,} ,2\end{array}$

Then, we multiply 3 and 5 and add the 1 that was carried

$\begin{array}{r}\overset{1 \space{\ }}{\ 5} \space{,}4\ \times \phantom{0} 8\space{,}3 \ \hline \phantom{,}1,6,2\end{array}$

Now, we multiply the digit in the tens place of the multiplier by each digit of the multiplicand. In order to do this, we need to start a new line in our math problem and put a 0 as a place holder in the ones position.

$\begin{array}{r}\overset{~ \space{\ }}{\ 5} \space{,}4\ \times \phantom{0} 8\space{,}3 \ \hline \phantom{,}1,6,2 \ , 0 \end{array}$

Next, we multiply 8 and 4

$\begin{array}{r}\overset{3 \space{\ }}{\ 5} \space{,}4\ \times \phantom{0} 8\space{,}3 \ \hline \phantom{,}1,6,2 \ , 2 , 0\end{array}$

Then, we multiply 8 and 5and add the 3 that was carried

$\begin{array}{r}\overset{3 \space{\ }}{\ 5} \space{,}4\ \times \phantom{0} 8\space{,}3 \ \hline \phantom{,}1,6,2 \ , 4 , 3 , 2 , 0\end{array}$

Finally, we add the two products together to find our final answer

$\begin{array}{r}\overset{3 \space{\ }}{\ 5} \space{,}4\ \times \phantom{0} 8\space{,}3 \ \hline \phantom{,}1,6,2 \+, 4 , 3 , 2 , 0\ \hline 4, 4 , 8, 2\end{array}$

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Question

Solve:

$\begin{array}{r}\overset{~ \space{\ }}{\ 7} \space{,}2\ \times\phantom{0}6\space{,}2 \ \hline \phantom{,}\end{array}$

Answer

In order to solve this problem using multiplication, we must multiply each digit of the multiplier by each digit of the multiplicand to get the answer, which is called the product.

$\frac{\begin{array}[b]{r}\textup{multiplicand}\ \times\ \ \ \ \textup{multiplier}\end{array}}{\ \ \ \ \textup{product}}$

For this problem, 62 is the multiplier and 72 is the multiplicand. We start with the multiplier, and multiply the digit in the ones place by each digit of the multiplicand.

First, we multiply 2 and 2

$\begin{array}{r}\overset{~ \space{\ }}{\ 7} \space{,}2\ \times \phantom{0} 6\space{,}2 \ \hline \phantom{,} ,4\end{array}$

Then, we multiply 2 and 7

$\begin{array}{r}\overset{~ \space{\ }}{\ 7} \space{,}2\ \times \phantom{0} 6\space{,}2 \ \hline \phantom{,}1,4,4\end{array}$

Now, we multiply the digit in the tens place of the multiplier by each digit of the multiplicand. In order to do this, we need to start a new line in our math problem and put a 0 as a place holder in the ones position.

$\begin{array}{r}\overset{~ \space{\ }}{\ 7} \space{,}2\ \times \phantom{0} 6\space{,}2 \ \hline \phantom{,}1,4,4 \ , 0 \end{array}$

Next, we multiply 6 and 2

$\begin{array}{r}\overset{1 \space{\ }}{\ 7} \space{,}2\ \times \phantom{0} 6\space{,}2 \ \hline \phantom{,}1,4,4 \ , 2 , 0\end{array}$

Then, we multiply 6 and 7and add the 1 that was carried

$\begin{array}{r}\overset{1 \space{\ }}{\ 7} \space{,}2\ \times \phantom{0} 6\space{,}2 \ \hline \phantom{,}1,4,4 \ , 4 , 3 , 2 , 0\end{array}$

Finally, we add the two products together to find our final answer

$\begin{array}{r}\overset{1 \space{\ }}{\ 7} \space{,}2\ \times \phantom{0} 6\space{,}2 \ \hline \phantom{,}1,4,4 \+, 4 , 3 , 2 , 0\ \hline 4, 4 , 6, 4\end{array}$

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Question

Solve:

$\begin{array}{r}\overset{~ \space{\ }}{\ 4} \space{,}6\ \times\phantom{0}6\space{,}7 \ \hline \phantom{,}\end{array}$

Answer

In order to solve this problem using multiplication, we must multiply each digit of the multiplier by each digit of the multiplicand to get the answer, which is called the product.

$\frac{\begin{array}[b]{r}\textup{multiplicand}\ \times\ \ \ \ \textup{multiplier}\end{array}}{\ \ \ \ \textup{product}}$

For this problem, 67 is the multiplier and 46 is the multiplicand. We start with the multiplier, and multiply the digit in the ones place by each digit of the multiplicand.

First, we multiply 7 and 6

$\begin{array}{r}\overset{4 \space{\ }}{\ 4} \space{,}6\ \times \phantom{0} 6\space{,}7\ \hline \phantom{,} ,2\end{array}$

Then, we multiply 7 and 4 and add the 4 that was carried

$\begin{array}{r}\overset{4 \space{\ }}{\ 4} \space{,}6\ \times \phantom{0} 6\space{,}7 \ \hline \phantom{,}3,2,2\end{array}$

Now, we multiply the digit in the tens place of the multiplier by each digit of the multiplicand. In order to do this, we need to start a new line in our math problem and put a 0 as a place holder in the ones position.

$\begin{array}{r}\overset{~ \space{\ }}{\ 4} \space{,}6\ \times \phantom{0} 6\space{,}7 \ \hline \phantom{,}3,2,2 \ , 0 \end{array}$

Next, we multiply 6 and 6

$\begin{array}{r}\overset{3 \space{\ }}{\ 4} \space{,}6\ \times \phantom{0} 6\space{,}7 \ \hline \phantom{,}3,2,2 \ , 6 , 0\end{array}$

Then, we multiply 6 and 4and add the 3 that was carried

$\begin{array}{r}\overset{3 \space{\ }}{\ 4} \space{,}6\ \times \phantom{0} 6\space{,}7 \ \hline \phantom{,}3,2,2 \ , 2 , 7 , 6 , 0\end{array}$

Finally, we add the two products together to find our final answer

$\begin{array}{r}\overset{3 \space{\ }}{\ 4} \space{,}6\ \times \phantom{0} 6\space{,}7 \ \hline \phantom{,}3,2,2 \+, 2 , 7 , 6 , 0\ \hline 3, 0 , 8, 2\end{array}$

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Question

Solve:

$\begin{array}{r}\overset{~ \space{\ }}{\ 6} \space{,}3\ \times\phantom{0}5\space{,}1 \ \hline \phantom{,}\end{array}$

Answer

In order to solve this problem using multiplication, we must multiply each digit of the multiplier by each digit of the multiplicand to get the answer, which is called the product.

$\frac{\begin{array}[b]{r}\textup{multiplicand}\ \times\ \ \ \ \textup{multiplier}\end{array}}{\ \ \ \ \textup{product}}$

For this problem, 51 is the multiplier and 63 is the multiplicand. We start with the multiplier, and multiply the digit in the ones place by each digit of the multiplicand.

First, we multiply 1 and 3

$\begin{array}{r}\overset{~ \space{\ }}{\ 6} \space{,}3\ \times \phantom{0} 5\space{,}1 \ \hline \phantom{,} ,3\end{array}$

Then, we multiply 1 and 6

$\begin{array}{r}\overset{~ \space{\ }}{\ 6} \space{,}3\ \times \phantom{0} 5\space{,}1 \ \hline \phantom{,} ,6,3\end{array}$

Now, we multiply the digit in the tens place of the multiplier by each digit of the multiplicand. In order to do this, we need to start a new line in our math problem and put a 0 as a place holder in the ones position.

$\begin{array}{r}\overset{~ \space{\ }}{\ 6} \space{,}3\ \times \phantom{0} 5\space{,}1 \ \hline \phantom{,} ,6,3 \ , 0 \end{array}$

Next, we multiply 5 and 3

$\begin{array}{r}\overset{1 \space{\ }}{\ 6} \space{,}3\ \times \phantom{0} 5\space{,}1 \ \hline \phantom{,} ,6,3 \ , 5 , 0\end{array}$

Then, we multiply 5 and 6and add the 1 that was carried

$\begin{array}{r}\overset{1 \space{\ }}{\ 6} \space{,}3\ \times \phantom{0} 5\space{,}1 \ \hline \phantom{,} ,6,3 \ , 3 , 1 , 5 , 0\end{array}$

Finally, we add the two products together to find our final answer

$\begin{array}{r}\overset{1 \space{\ }}{\ 6} \space{,}3\ \times \phantom{0} 5\space{,}1 \ \hline \phantom{,} ,6,3 \+, 3 , 1 , 5 , 0\ \hline 3, 2 , 1, 3\end{array}$

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Question

Solve:

$\begin{array}{r}\overset{~ \space{\ }}{\ 4} \space{,}2\ \times\phantom{0}7\space{,}8 \ \hline \phantom{,}\end{array}$

Answer

In order to solve this problem using multiplication, we must multiply each digit of the multiplier by each digit of the multiplicand to get the answer, which is called the product.

$\frac{\begin{array}[b]{r}\textup{multiplicand}\ \times\ \ \ \ \textup{multiplier}\end{array}}{\ \ \ \ \textup{product}}$

For this problem, 78 is the multiplier and 42 is the multiplicand. We start with the multiplier, and multiply the digit in the ones place by each digit of the multiplicand.

First, we multiply 8 and 2

$\begin{array}{r}\overset{1 \space{\ }}{\ 4} \space{,}2\ \times \phantom{0} 7\space{,}8\ \hline \phantom{,} ,6\end{array}$

Then, we multiply 8 and 4 and add the 1 that was carried

$\begin{array}{r}\overset{1 \space{\ }}{\ 4} \space{,}2\ \times \phantom{0} 7\space{,}8 \ \hline \phantom{,}3,3,6\end{array}$

Now, we multiply the digit in the tens place of the multiplier by each digit of the multiplicand. In order to do this, we need to start a new line in our math problem and put a 0 as a place holder in the ones position.

$\begin{array}{r}\overset{~ \space{\ }}{\ 4} \space{,}2\ \times \phantom{0} 7\space{,}8 \ \hline \phantom{,}3,3,6 \ , 0 \end{array}$

Next, we multiply 7 and 2

$\begin{array}{r}\overset{1 \space{\ }}{\ 4} \space{,}2\ \times \phantom{0} 7\space{,}8 \ \hline \phantom{,}3,3,6 \ , 4 , 0\end{array}$

Then, we multiply 7 and 4and add the 1 that was carried

$\begin{array}{r}\overset{1 \space{\ }}{\ 4} \space{,}2\ \times \phantom{0} 7\space{,}8 \ \hline \phantom{,}3,3,6 \ , 2 , 9 , 4 , 0\end{array}$

Finally, we add the two products together to find our final answer

$\begin{array}{r}\overset{1 \space{\ }}{\ 4} \space{,}2\ \times \phantom{0} 7\space{,}8 \ \hline \phantom{,}3,3,6 \+, 2 , 9 , 4 , 0\ \hline 3, 2 , 7, 6\end{array}$

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