3 digit by 3 digit Multiplication Examples
3 digit by 3 digit Multiplication – Example 1
Find the product.
235x 624
Explanation
Whenever we multiply a three digit Multiplicand by three-digit Multiplier, we first multiply the Multiplicand with one’s place of Multiplier, then with Tens place of the Multiplier and lastly by Hundreds place.
Step I: Multiply Multiplicand with one’s place of Multiplier.
i.e, 235 x 4 = 940
Step II: Multiply Multiplicand with tens place of Multiplier.
i.e, 235 x 2 = 470
Since the Number obtained at Step II, has a Tens value, we add a “0” or “X” at the end of the answer obtained by multiplying Multiplicand with Tens place of the Multiplier.
Step III: Multiply Multiplicand with hundreds place of Multiplier.
i.e, 235 x 6 = 1410
Since the Number obtained at Step III, has a Hundreds place value, we add two “0” or “x” at the end of the answer obtained by multiplying Multiplicand with Tens place of the Multiplier.
Step III : Add all the numbers
Hence, 235 x 624 = 146640
3 digit by 3 digit Multiplication – Example 2
Find the product.
343 x 732
Explanation
Whenever we multiply a three digit Multiplicand by three digit Multiplier, we first multiply the Multiplicand with ones place of Multiplier, then with Tens place of the Multiplier and lastly by Hundreds place.
Step I : Multiply Multiplicand with ones place of Multiplier.
i.e, 343 x 2 = 686
Step II : Multiply Multiplicand with tens place of Multiplier.
i.e, 343 x 3 = 1029
Since the Number obtained at Step II, has a Tens value, we add a “0” or “X” at the end of the answer obtained by multiplying Multiplicand with Tens place of the Multiplier.
Step III : Multiply Multiplicand with hundreds place of Multiplier.
i.e, 343 x 7 = 2401
Since the Number obtained at Step III, has a Hundreds place value, we add two “0” or “x” at the end of the answer obtained by multiplying Multiplicand with Tens place of the Multiplier.
Step III : Add all the numbers
Hence, 343 x 732 = 251076