Multiplication

Multiplying two digit by one digit numbers

How to multiply a two digit number by a one digit number
(for example 59 + 7).

* Place one number above the other so that the ones' place digits are lined up. Draw a line under the bottom number.


59
7

* Multiply the two ones' place digits (9 * 7 = 63). This number is larger than 9, so place the six above the tens' place column and place the three below the line in the ones' place column.


6
59
7
3

* Multiply the digit in the tens' place column (5) by the second number (7). The result is 5 * 7 = 35. Add the 6 to the 35 (35 + 6 = 41) and place the answer below the line and to the left of the 3.


59
7
413

Multiplying three digit by one digit numbers

How to multiply a three digit number by a one digit number
(e.g. 159 * 7).

* Place one number above the other so that the ones' place digits are lined up. Draw a line under the bottom number.


159
7

* Multiply the two ones' place digits (9 * 7 = 63). This number is larger than 9, so place the six above the tens' place column and place the three below the line in the ones' place column.


6
159
7
3

* Multiply the digit in the tens' place column (5) by the other number (7). The result is 5 * 7 = 35. Add the 6 to the 35 which equals 41. Place the one from the number 41 below the line and to the left of the other number. Place the 4 above the hundreds' place column.


46
159
7
13

* Multiply the digit in the hundreds' place column (1) by the digit in the ones' place of the second number (7). The result is 1 * 7 = 7. Add the 4 to the 7 (4 + 7 = 11). Place this below the line and to the left of the other digits.


46
159
7
1113

Multiplying Three Numbers


How to multiply three numbers:

* Multiply the first number by the second number.
* Multiply the product of the first multiplication by the third number.

Multiplication of Two and Three Digit Numbers

How to multiply a three digit number by a two digit number (e.g. 529 * 67).

* Place one number above the other so that the hundreds', tens' and ones' places are lined up. Draw a line under the bottom number.


529
67

* Multiply the two numbers in the ones' places. (9 * 7 = 63). This number is larger than 9 so place a 6 above the tens' place column and place 3 below the line in the ones' place column.


6
529
67
3

* Muliply the digit in the top tens' place column (2) by the digit in the lower ones' place column (7). The answer (2*7=14) is added to the 6 above the top tens' place column to give an answer of 20. The 0 of 20 is placed below the line and the 2 of the 20 is placed above the hundreds' place column.


26
529
67
03

* The hundreds' place of the top number (5) is multiplied by the ones' place of the multiplier (5*7=35). The two that was previously carried to the hundreds' place is added and the 37 is placed below the line.


26
529
67
3703

* After 529 has been multiplied by 7 as shown above, 529 is multiplied by the tens' place of the multiplier which is 6. The number is moved one place to the left because we are multiplying by a tens' place number. The result would be 3174:


15
529
67
3703
3174

* A line is drawn under the lower product (3174) and the products are added together to get the final answer of 35443.


15
529
67
3703
3174
35443



Multiplication of Five Digit Numbers

Multiplying a five digit number by a one digit number (for example 52639 * 7) is illustrated below.

* Place one number above the other so that the one's places are lined up. Draw a line under the bottom number.


52639
7

368473

Multiplication of Five Digit Numbers.


Multiplying a five digit number by a two digit number (for example 52639 * 67) is illustrated below.

* Place one number above the other so that the hundred's, ten's and one's places are lined up. Draw a line under the bottom number.


52639
67

368473

315834

3526813

Multiplication of Five Digit Numbers

Multiplying a Five digit number by a three digit number (for example 24639 * 687) is illustrated below.

* Place one number above the other so that the hundred's, ten's and one's places are lined up. Draw a line under the bottom number.


24639
687

172473

197112

147834

16926993


Multiplying a Five digit number

Multiplying a Five digit number by a 4 digit number (for example 24639 * 3687) is illustrated below.

* Place one number above the other so that the thousand's, hundred's, ten's and one's places are lined up. Draw a line under the bottom number.


24639
3687

172473

197112

147834

73917

90843993


Multiplication of Six Digit Numbers.

Multiplying a six digit number by a two digit number (for example 524639 * 67) is illustrated below.

* Place one number above the other so that the hundred's, ten's and one's places are lined up. Draw a line under the bottom number.


524639
67

3672473

3147834

35150813


Multiplying a six digit number

Multiplying a six digit number by a three digit number (for example 524639 * 687) is illustrated below.

* Place one number above the other so that the hundred's, ten's and one's places are lined up. Draw a line under the bottom number.


524639
687

3672473

4197112

3147834

360426993


Multiplication Equations

An equation is a mathematical statement such that the expression on the left side of the equals sign (=) has the same value as the expression on the right side. An example of an equation is 9 * 8 = 72.

One of the terms in an equation may not be known and needs to be determined. The unknown term may be represented by a letter such as x. (e.g. x * 8 = 72).

The solution of an equation is finding the value of the unknown x. Use the division property of equations to find the value of x. The division property of equations states that the two sides of an equation remain equal if both sides are divided by the same number

Example:
x * 5 = 10
x * 5 ÷ 5 = 10 ÷ 5
x * 1 = 2
x = 2
Check the answer by substituting the answer (2) back into the equation.
2 * 5 = 10


Multiplication Equations

An equation is a mathematical statement such that the expression on the left side of the equals sign (=) has the same value as the expression on the right side. An example of an equation is 12 * 11 = 132.

One of the terms in an equation may not be known and needs to be determined. The unknown term may be represented by a letter such as x. (e.g. x * 11 = 132).

The solution of an equation is finding the value of the unknown x. Use the division property of equations to find the value of x. The division property of equations states that the two sides of an equation remain equal if both sides are divided by the same number

Example:
x * 50 = 1000
x * 50 ÷ 50 = 1000 ÷ 50
x * 1 = 20
x = 20
Check the answer by substituting the answer (20) back into the equation.
20 * 50 = 1000