QuestionCalculate $687 \times 47$ .

Studdy Solution

STEP 1

Assumptions1. We are performing a multiplication operation. . The numbers to be multiplied are687 and47.

STEP 2

We start by multiplying the digit in the ones place of the second number (7) with each digit of the first number (687), starting from the rightmost digit (ones place).
$7 \\times7 =49$

STEP 3

Write down the9 from the result of the previous step under the line, and carry over the to the next step.

STEP 4

Next, multiply the7 with the digit in the tens place of the first number (8).
$7 \\times8 =56$

STEP 5

Add the carried over number (4) to the result of the previous step.
$56 +4 =60$

STEP 6

Write down the0 from the result of the previous step under the line, and carry over the6 to the next step.

STEP 7

Next, multiply the7 with the digit in the hundreds place of the first number (6).
$7 \\times6 =42$

STEP 8

Add the carried over number (6) to the result of the previous step.
$42 +6 =48$

STEP 9

Write down the48 from the result of the previous step under the line. This completes the multiplication with the digit in the ones place of the second number.

STEP 10

Next, we multiply the digit in the tens place of the second number (4) with each digit of the first number (687), starting from the rightmost digit (ones place). However, because this is the tens place, we start writing the results one place to the left.

STEP 11

Multiply the4 with the digit in the ones place of the first number (7).
$4 \\times7 =28$

STEP 12

Write down the8 from the result of the previous step under the line, and carry over the2 to the next step.

STEP 13

Next, multiply the with the digit in the tens place of the first number (8).
$\\times8 =32$

STEP 14

Add the carried over number (2) to the result of the previous step.
$32 +2 =34$

STEP 15

Write down the4 from the result of the previous step under the line, and carry over the3 to the next step.

STEP 16

Next, multiply the4 with the digit in the hundreds place of the first number (6).
$4 \\times6 =24$

STEP 17

Add the carried over number (3) to the result of the previous step.
$24 +3 =27$

STEP 18

Write down the27 from the result of the previous step under the line. This completes the multiplication with the digit in the tens place of the second number.

STEP 19

Now, add the two rows of numbers we have under the line.
$4809 \\+27400$

STEP 20

Add the numbers in the ones place.
$9 +0 =9$

STEP 21

Add the numbers in the tens place.
$0 +0 =0$

STEP 22

Add the numbers in the hundreds place.
$8 +4 =12$

STEP 23

Write down the from the result of the previous step under the line, and carry over the1 to the next step.

STEP 24

Add the numbers in the thousands place, including the carried over number.
$4 +7 +1 =12$

STEP 25

Write down the from the result of the previous step under the line, and carry over the1 to the next step.

STEP 26

Add the numbers in the ten thousands place, including the carried over number.
$0 + +1 =3$

STEP 27

Write down the3 from the result of the previous step under the line. This completes the addition.
The result of the multiplication $\begin{array}{r}687 \\ \times \quad47 \\ \hline\end{array}$ is32289.

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QuestionCalculate 687×47687 \times 47687×47.

Studdy Solution

STEP 1

Assumptions1. We are performing a multiplication operation. . The numbers to be multiplied are687 and47.

STEP 2

We start by multiplying the digit in the ones place of the second number (7) with each digit of the first number (687), starting from the rightmost digit (ones place).7times7=497 \\times7 =497times7=49

STEP 3

Write down the9 from the result of the previous step under the line, and carry over the to the next step.

STEP 4

Next, multiply the7 with the digit in the tens place of the first number (8).7times8=567 \\times8 =567times8=56

STEP 5

Add the carried over number (4) to the result of the previous step.56+4=6056 +4 =6056+4=60

STEP 6

Write down the0 from the result of the previous step under the line, and carry over the6 to the next step.

STEP 7

Next, multiply the7 with the digit in the hundreds place of the first number (6).7times6=427 \\times6 =427times6=42

STEP 8

Add the carried over number (6) to the result of the previous step.42+6=4842 +6 =4842+6=48

STEP 9

Write down the48 from the result of the previous step under the line. This completes the multiplication with the digit in the ones place of the second number.

STEP 10

Next, we multiply the digit in the tens place of the second number (4) with each digit of the first number (687), starting from the rightmost digit (ones place). However, because this is the tens place, we start writing the results one place to the left.

STEP 11

Multiply the4 with the digit in the ones place of the first number (7).4times7=284 \\times7 =284times7=28

STEP 12

Write down the8 from the result of the previous step under the line, and carry over the2 to the next step.

STEP 13

Next, multiply the with the digit in the tens place of the first number (8).times8=32 \\times8 =32times8=32

STEP 14

Add the carried over number (2) to the result of the previous step.32+2=3432 +2 =3432+2=34

STEP 15

Write down the4 from the result of the previous step under the line, and carry over the3 to the next step.

STEP 16

Next, multiply the4 with the digit in the hundreds place of the first number (6).4times6=244 \\times6 =244times6=24

STEP 17

Add the carried over number (3) to the result of the previous step.24+3=2724 +3 =2724+3=27

STEP 18

Write down the27 from the result of the previous step under the line. This completes the multiplication with the digit in the tens place of the second number.

STEP 19

Now, add the two rows of numbers we have under the line.4809+274004809 \\+274004809+27400

STEP 20

Add the numbers in the ones place.9+0=99 +0 =99+0=9

STEP 21

Add the numbers in the tens place.0+0=00 +0 =00+0=0

STEP 22

Add the numbers in the hundreds place.8+4=128 +4 =128+4=12

STEP 23

Write down the from the result of the previous step under the line, and carry over the1 to the next step.

STEP 24

Add the numbers in the thousands place, including the carried over number.4+7+1=124 +7 +1 =124+7+1=12

STEP 25

Write down the from the result of the previous step under the line, and carry over the1 to the next step.

STEP 26

Add the numbers in the ten thousands place, including the carried over number.0++1=30 + +1 =30++1=3

STEP 27

Write down the3 from the result of the previous step under the line. This completes the addition.The result of the multiplication 687×47\begin{array}{r}687 \\ \times \quad47 \\ \hline\end{array}687×47​​ is32289.

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QuestionCalculate $687 \times 47$ .

We start by multiplying the digit in the ones place of the second number (7) with each digit of the first number (687), starting from the rightmost digit (ones place).
$7 \\times7 =49$

Next, multiply the7 with the digit in the tens place of the first number (8).
$7 \\times8 =56$

Add the carried over number (4) to the result of the previous step.
$56 +4 =60$

Next, multiply the7 with the digit in the hundreds place of the first number (6).
$7 \\times6 =42$

Add the carried over number (6) to the result of the previous step.
$42 +6 =48$

Multiply the4 with the digit in the ones place of the first number (7).
$4 \\times7 =28$

Next, multiply the with the digit in the tens place of the first number (8).
$\\times8 =32$

Add the carried over number (2) to the result of the previous step.
$32 +2 =34$

Next, multiply the4 with the digit in the hundreds place of the first number (6).
$4 \\times6 =24$

Add the carried over number (3) to the result of the previous step.
$24 +3 =27$

Now, add the two rows of numbers we have under the line.
$4809 \\+27400$

Add the numbers in the ones place.
$9 +0 =9$

Add the numbers in the tens place.
$0 +0 =0$

Add the numbers in the hundreds place.
$8 +4 =12$

Add the numbers in the thousands place, including the carried over number.
$4 +7 +1 =12$

Add the numbers in the ten thousands place, including the carried over number.
$0 + +1 =3$

Write down the3 from the result of the previous step under the line. This completes the addition.
The result of the multiplication $\begin{array}{r}687 \\ \times \quad47 \\ \hline\end{array}$ is32289.