ad

Two numbers can be visually multiplied by drawing lines and counting intersections. Though this method is very simple, it may take longer time if used with large numbers or numbers with large digits. (Note: speed math calculator can be used to practise problems using this method.)

First number is 13

first digit: 1 => draw 1 horizontal line

next digit: 3 => draw 3 horizontal lines

Second number is 32

first digit: 3 => draw 3 vertical lines

next digit: 2 => draw 2 vertical lines

Count intersections, starting from rightmost group.

6 intersections in rightmost group. So, write 6 as rightmost digit of answer.

11 intersections in next group. So, write 1 as next digit of answer and take 1 as carry.

3 intersections in next group. 3 plus carried 1 is 4. So, write 4 as next digit of answer.

Answer = 416

First number is 123

first digit: 1 => draw 1 horizontal line

next digit: 2 => draw 2 horizontal lines

next digit: 3 => draw 3 horizontal lines

Second number is 321

first digit: 3 => draw 3 vertical lines

next digit: 2 => draw 2 vertical lines

next digit: 1 => draw 1 vertical line

Count intersections, starting from rightmost group.

3 intersections in rightmost group. So, write 3 as rightmost digit of answer.

8 intersections in next group. So, write 8 as next digit of answer.

14 intersections in next group. So, write 4 as next digit of answer and take 1 as carry.

8 intersections in next group. 8 plus carried 1 is 9. So, write 9 as next digit of answer.

3 intersections in next group. So, write 3 as next digit of answer.

Answer = 39483

First number is 231

first digit: 2 => draw 2 horizontal lines

next digit: 3 => draw 3 horizontal lines

next digit: 1 => draw 1 horizontal line

Second number is 302

first digit: 3 => draw 3 vertical lines

next digit: 0 => draw 1 vertical line in different color to represent zero

next digit: 2 => draw 2 vertical lines

Count intersections, starting from rightmost group. Note that intersections made by zero lines will not be counted.

2 intersections in rightmost group. So, write 2 as rightmost digit of answer.

6 intersections in next group. So, write 6 as next digit of answer.

7 intersections in next group. So, write 7 as next digit of answer.

9 intersections in next group. So, write 9 as next digit of answer.

6 intersections in next group. So, write 6 as next digit of answer.

Answer = 69762

First number is 412

first digit: 4 => draw 4 horizontal lines

next digit: 1 => draw 1 horizontal line

next digit: 2 => draw 2 horizontal lines

Second number is 12

first digit: 1 => draw 1 vertical line

next digit: 2 => draw 2 vertical lines

Count intersections, starting from rightmost group.

4 intersections in rightmost group. So, write 4 as rightmost digit of answer.

4 intersections in next group. So, write 4 as next digit of answer.

9 intersections in next group. So, write 9 as next digit of answer.

4 intersections in next group. So, write 4 as next digit of answer.

Answer = 4944

preview