Example of Multiplication

Multiply any number by 10 is easy, simply multiply by 1 and add Zero at the end OR move the decimal point one space to the right. For example, 83.45 * 10 = 834.5

• 10 * 1 is 10
• 10 * 2 is 20
• 10 * 3 is 30
• 10 * 4 is 40
• 10 * 5 is 50
• 10 * 6 is 60
• 10 * 7 is 70
• 10 * 8 is 80
• 10 * 9 is 90
• 10 * 10 is 10
• 10 * 11 is 110
• 10 * 12 is 120

To multiply a number by 100 is easy, just add 00 after the number OR move the decimal point to two spaces right 789.568 * 100 =78956.8

• 100 * 1 is 100
• 100 * 2 is 200
• 100 * 3 is 300
• 100 * 4 is 400
• 100 * 5 is 500
• 100 * 6 is 600
• 100 * 7 is 700
• 100 * 8 is 800
• 100 * 9 is 900
• 100 * 10 is 100
• 100 * 11 is 1100
• 100 * 12 is 1200

• First line up the numbers as per the place value (all the tens and the units lined up vertically). Put a line under the last number.

52
 3

• Multiply the numbers in ones place (2 * 3 = 6). Write the answer in the ones place column.

52
 3
 6

• Multiply the number in the tens place column (5) by the number in the lower ones place column (3). The answer is 5 * 3 = 15. Write the answer below the line in the tens place column.

 52
  3
156

How to multiply a two-digit number by a one-digit number?

• First line up the numbers as per the place value (all the tens and the units lined up vertically). Put a line under the last number.

78
 5

• Multiply the two ones digit numbers (8 * 5 = 40). This result is greater than 9, so write the 4 above the tens place value and write the 0 under the line in the ones place column.

4
78
 5
 0

• Multiply the digit in the tens place column (7) by the lower ones place digit (5). The result is 7 * 5 = 35. Add 4 to 35 (35 + 4 = 39) and write the answer under the line and to the left of the 3.

 4
 78
  5
390

How to multiply a three-digit number by a two-digit number (e.g. 649 * 76)?

• First line up the numbers as per the place value (all the hundreds, tens and the ones lined up vertically). Draw a line under the last number.

649
 76

• Multiply the numbers in ones place. (9 * 6 = 54). The result 54 is greater than 9 so write a 5 above the tens place value and write 4 under the line in the ones place column

  5
 649
  76
   4

• Multiply the digit in the tens place column that is 4 by the number in the lower ones place column that is 6. The result is (4*6=24). Now Add 5 to 24 (24 + 5 = 29) and write 9 in the tens place column below the line and 2 above the hundreds place column.

 25
 649
  76
  94

• Multiply the digit in the hundreds place column (6) by the number in the lower ones place column (6). The result is (6*6=36). Now Add 2 to 36 (36 + 2 = 38) and write 38 under the line to the left of 9.

 25
 649
  76
3894

• After 649 has been multiplied by 6 as shown above, 649 is multiplied by the number in the lower tens'' place, which is 7. The number is shifted one place to the left because we are multiplying by a tens' place value. The result will be 4543:

   25
   649
    76
  3894
 4543

• Draw a line under the lower product (4543) and the products are now added together to get the final result of 49324.

   25
   649
    76
  3894
 4543 
 49324

How to multiply a three-digit number by a one-digit number (e.g. 524 * 2)?

• First line up the numbers as per the place value (all the tens and the units lined up vertically). Put a line under the last number.

524
  2

• Multiply the numbers in the ones place (4 * 2 = 8). Write the 8 under the line in the ones place column.

524
  2
  8

• Multiply the number in the tens place column that is 2 by the number in the lower ones place number that is 2. The result is 2 * 2 = 4. Write the answer under the line and to the left of the 8.

524
  2
 48

• Multiply the number in the hundreds place column that is 5 by the lower tens place number which is 2. The result is 5 * 2 = 10. Write the 10 under the line in the hundreds'' place column.

 524
   2
1048

If any number is multiplied by 0, answer is 0.

If any number is multiplied by 1, answer is that number.

Multiplying by 2 and 3