Multiplication
Category : 2nd Class
Multiplication
Synopsis
Multiplication:
e.g., 24 \[\times \] 3 = 72 \[\downarrow \] \[\downarrow \] \[\downarrow \] Multiplicand Multiplier Product |
Note: The product of a number and zero is zero. The product of a number and 1 is the number itself. Even if the order of the number to be multiplied is changed, the product remains the same. |
e.g., 3 \[\times \] 9 = 27
Multiply the numbers and write the product.
e.g., 1: Multiply 98 by 3.
First multiply ones and then multiply tens. Regroup the product if needed.
Step -1: Multiply 8 ones by 3. ®
8 ones \[\times \] 3 = 24 ones = 2 tens + 4 ones
Write 4 in the ones place,
Carry 2 tens to the tens place.
Step-2: Multiply 9 tens by 3.
9 tens \[\times \] 3 = 27 tens
= 20 tens + 7 tens
= 2 hundreds + 7 tens
Add the carried 2 tens to 7 tens. So, 7 tens + 2 tens = 9 tens.
Write 9 in the tens place. Write 2 in hundreds place.
e.g., Multiply 36 by 25.
Step - 1: First multiply ones.
Write 0 in the ones place and carry 3 tens to the tens place.
Step - 2: Multiply the digit in tens place of the multiplicand by the ones digit of the multiplier. 3 \[\times \] 5 = 15.
Now add the 3 carried from the product of ones to 15, which gives 15 + 3 = 18. Write 18 beside 0 in the product.
Step - 3: Now place a 0 below 0 in the product 180.
Multiply the digit 6 in ones place of the multiplicand by the digit 2 in tens place of multiplier. 6 \[\times \] 2 = 12
Write 2 below 8 in the product and carry 1 ten to the tens place.
Step - 4: Multiply 3 in the tens place by 2 in the tens place of the multiplier. 3 \[\times \] 2 = 6. Add the 1 carried from previous product to get 6 + 1 = 7.
Now, write 7 below 1 in 180.
Now add the products and write the sum which is the required product of the two given numbers.
\[\therefore \] 36 \[\times \] 25 = 900
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