QuestionCalculate the product of 523 and 52: $523 \times 52$ .

Studdy Solution

STEP 1

Assumptions1. We are multiplying two positive integers,523 and52.

STEP 2

We will use the standard algorithm for multiplication. First, we multiply the units digit of the second number by each digit of the first number, starting from the units digit.
$2 \times =6$ $2 \times2 =4$ $2 \times5 =10$

STEP 3

We write down the results of these multiplications under the line, starting from the right. If a result is a two-digit number, we carry the tens digit over to the next multiplication.
$\begin{array}{c}1 \\523 \\ \times52 \\ \hline1046 \\ \end{array}$

STEP 4

Next, we multiply the tens digit of the second number by each digit of the first number, again starting from the units digit. But this time, we will place the results one place to the left, because we are multiplying by a tens digit.
$\times3 =15$ $\times2 =10$ $\times =25$

STEP 5

We write down these results under the line, starting from the second place from the right. Again, if a result is a two-digit number, we carry the tens digit over to the next multiplication.
$\begin{array}{cc}1 &1 \\523 & \\ \times52 & \\ \hline104 & \\ +26150 & \\ \hline \end{array}$

STEP 6

Finally, we add up the two rows of numbers we have obtained.
$\begin{array}{c}1 \\523 \\ \times52 \\ \hline1046 \\ +26150 \\ \hline27196 \\ \end{array}$ So, $523 \times52 =27196$ .

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QuestionCalculate the product of 523 and 52: $523 \times 52$ .

Studdy Solution

STEP 1

Assumptions1. We are multiplying two positive integers,523 and52.

STEP 2

We will use the standard algorithm for multiplication. First, we multiply the units digit of the second number by each digit of the first number, starting from the units digit.
$2 \times =6$ $2 \times2 =4$ $2 \times5 =10$

STEP 3

We write down the results of these multiplications under the line, starting from the right. If a result is a two-digit number, we carry the tens digit over to the next multiplication.
$\begin{array}{c}1 \\523 \\ \times52 \\ \hline1046 \\ \end{array}$

STEP 4

Next, we multiply the tens digit of the second number by each digit of the first number, again starting from the units digit. But this time, we will place the results one place to the left, because we are multiplying by a tens digit.
$\times3 =15$ $\times2 =10$ $\times =25$

STEP 5

We write down these results under the line, starting from the second place from the right. Again, if a result is a two-digit number, we carry the tens digit over to the next multiplication.
$\begin{array}{cc}1 &1 \\523 & \\ \times52 & \\ \hline104 & \\ +26150 & \\ \hline \end{array}$

STEP 6

Finally, we add up the two rows of numbers we have obtained.
$\begin{array}{c}1 \\523 \\ \times52 \\ \hline1046 \\ +26150 \\ \hline27196 \\ \end{array}$ So, $523 \times52 =27196$ .

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QuestionCalculate the product of 523 and 52: 523×52523 \times 52523×52.

Studdy Solution

STEP 1

Assumptions1. We are multiplying two positive integers,523 and52.

STEP 2

We will use the standard algorithm for multiplication. First, we multiply the units digit of the second number by each digit of the first number, starting from the units digit.2×=62 \times =62×=62×2=42 \times2 =42×2=42×5=102 \times5 =102×5=10

STEP 3

We write down the results of these multiplications under the line, starting from the right. If a result is a two-digit number, we carry the tens digit over to the next multiplication.1523×521046\begin{array}{c}1 \\523 \\ \times52 \\ \hline1046 \\ \end{array}1523×521046​​

STEP 4

STEP 5

STEP 6

Finally, we add up the two rows of numbers we have obtained.1523×521046+2615027196\begin{array}{c}1 \\523 \\ \times52 \\ \hline1046 \\ +26150 \\ \hline27196 \\ \end{array}1523×521046+2615027196​​So, 523×52=27196523 \times52 =27196523×52=27196.

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QuestionCalculate the product of 523 and 52: $523 \times 52$ .

We will use the standard algorithm for multiplication. First, we multiply the units digit of the second number by each digit of the first number, starting from the units digit.
$2 \times =6$ $2 \times2 =4$ $2 \times5 =10$

We write down the results of these multiplications under the line, starting from the right. If a result is a two-digit number, we carry the tens digit over to the next multiplication.
$\begin{array}{c}1 \\523 \\ \times52 \\ \hline1046 \\ \end{array}$

Finally, we add up the two rows of numbers we have obtained.
$\begin{array}{c}1 \\523 \\ \times52 \\ \hline1046 \\ +26150 \\ \hline27196 \\ \end{array}$ So, $523 \times52 =27196$ .