Multiplying whole numbers to get a product not exceeding 10 000 000

Multiplying whole numbers to get a product not exceeding 10,000,000

Remember that you have learned to multiply numbers to get a product not exceeding one million. Also, you learned to multiply numbers with more than one digit by arranging them vertically according to their place values. In this section, you will be able to multiply numbers to get a product that does not exceed 10,000,000.

Example

$1293 \times 259 = ?$

Solution

Use the following steps to multiply the given numbers:

Steps:

1. Align the numbers vertically to correspond to the place value of each digit. That is, ones to be aligned together, similarly for tens, hundreds, thousands, ten thousands and so on, up to the highest place value of the given number.

2. Multiply the number by starting with the lowest place value (ones) of the multiplier towards the left side. You can also start with the highest place value of the multiplier towards the right side.

3. In this example, the multiplier is 259. Start with the lowest place value in the multiplier, which is 9 (ones).

Therefore, $1293 \times 259 = 334,\!887$.