Page 3 - Lesson Note 5

Multiplication of 4-digit numbers by 3-digit numbers:

Step 1: Arrange the numbers both multiplicand and multiplier column wise.

Step 2: First we have to multiply the multiplicand by ones digit of the multiplier, and write
the product at the line below. If you are getting a more than one digit number than
regroup the number.

Step 3: Multiply the multiplicand by the digit at the tens of the multiplier, but place a zero
or put cross in the ones place column, since this part of the multiplication is a number of
tens.If you are getting a more than one digit number than regroup the number.

Step 4: Multiply the multiplicand by the digit at the hundreds of the multiplier, but place
a zero or cross at the ones and tens place column, since this part of the multiplication is
a number of hundred. If you are getting a more than one digit number than regroup the
number.

Step 5: Now add all product.

Step 6: The final result of the multiplication we will get.

Example 2:2 4 3 7 x 3 2 4

Step 1:Arrange the number column wise

Step 2: Multiply 2437 by 4 and write the result on the line below.

Note: while multiplying 4 by 7 we get 28. Write 8 in ones column and carry over 2.
Multiply 6 x 3 = 12 + 2 (carry over) = 14, now write 4 next to 8 and carry over 1 to the
next place. Now, multiply 4 x 4 = 16+1(carry over) = 17. Write 7 next to 4 and carry over
1 to the next place. Now multiply 4 x 2 =8 + 1(carry over) = 9, write 9 next to 7. So, the
product of 2437 x 4ones = 9748ones =9748.

Step 3: Multiply 2437 by 2, that is the number given in the tens place, but place a zero
or cross( x ) in the ones place column, since this part of the multiplication is a number of
tens. Multiply 2 by 7 we get 14, write 4 in the tens column and carry over 1 to the next
place. Now multiply 3 x 2 = 6 + 1 (carry over) =7, write 7 next to 4, no number is to carry