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Lesson Topics Discussion Quiz: Class Homework

Example1

Title: Multiplication

Grade 4+ Lesson s4-l1

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

Examples

Topics → Definition Example1

Multiply 105 by 12.

Step: 1

To multiply 105 by 2, organize the digits based on their place values and perform the multiplication for each digit.
First, calculate 2 × 5 = 10. Write 0 in the ones place and carry over 1.
Next, multiply 2 × 0 = 0. Adding the carried over 1 results in 0 + 1 = 1. Write 1 in the tens place.
Finally, multiply 2 × 1 = 2, write 2 in the hundreds place.
Therefore, 105 multiplied by 2 equals 210.

$1a$

Explanation:

In this step, to multiply 105 by 2, start with the ones place. First, 2 × 5 equals 10, so write 0 and carry over 1. Next, 2 × 0 gives 0; adding the carried over 1 gives us 1 in the tens place. Finally, 2 × 1 equals 2 in the hundreds place. Therefore, 105 multiplied by 2 equals 210.

Step: 2

Now, place a zero (0) under the first partial product, positioning it before writing the second partial product on the next line. Multiply 1 by each digit of 105: 1 × 5 = 5, write 5 in the tens place.
Next, multiply 1 by 0: 1 × 0 = 0. Write 0 in the hundreds column.
Finally, multiply 1 by 1: 1 × 1 = 1. Write 1 in the thousands column.

Therefore, 105 multiplied by 10 equals 1050.

$2a$

Explanation:

In this step, place a zero (0) under the first partial product before writing the second partial product. To multiply 105 by 1, we calculate: 1 x 5 = 5, 1 x 0 = 0, and 1 x 1 = 1. The final answer is 1050.

Step: 3

Add both partial products to get the final product, i.e.,210 + 1050 =1260.
Therefore, the final product is 1260.

$3a$

Explanation:

Add both results to get a final answer. Now we need to add 210 + 1050 to get 1260.