SaiBook.us Multiplication

Lesson Example Discussion Quiz: Class Homework

Example

Title: Multiplications

Grade: 3-a Lesson: S2-L1

Explanation: The best way to understand multiplications is by looking at some examples. Take turns and read each example for easy understanding.

Examples:

Find the product of 14 x 28.

Step: 1a

Arrange the numbers 14 and 28 in columns according to their place values.

$1a$

Explanation: In this step, arrange the numbers 14 as the multiplicand and 28 as the multiplier.

Step: 1b

Multiply 8 by each digit of 14:
Multiplying 8 by 4 gives us 24 (8 x 4 = 32). We write 8 in the one’s column and carry over 3 to the tens column.
Then, we multiply 8 by 1 (1 x 8 = 8), add the carry-over (3), and write 11 in the column.
Our final answer is 112.

$1b$

Explanation: In this step, to multiply 14 by 8, we need to multiply 8 by each digit of 14. 8 x 4 = 32; write 2, carry over 3. 8 x 1 = 8; add carry over (3), add 8 + 3 = 11; write 11. The final answer is 112.

Step: 1c

Now, we will place a zero (0) under the first partial product, that is, before writing the second partial product in the next line

$1c$

Explanation: In this step, before writing the second partial product in the next line, we will place a zero(0) under the first partial product.

Step: 1d

To find the product of 2 multiplied by each digit of 14, follow these steps. Multiply 2 by 4 to get 8. Write 8 in the tens column. Next, multiply 1 by 2 to get 2. Write 2 in the hundreds column. The final answer is 280.

$1d$

Explanation: In this step, to multiply 14 by 2, we need to multiply 2 by each digit of 14. 2 x 4 = 8; write 8. 2 x 1 = 2; write 2. The final answer is 280.

Step: 1e

Add both partial products to get the final product
This means 112 + 280 = 392.
Therefore, the final product is 392.

$1e$

Explanation: Add both results to get a final answer. Now, we need to add 112 + 280 to get 392.