Integer Multiplication On The Number Line: Frog Model
![](https://www.dropbox.com/s/fq5pagerad8ncbe/front-frog.jpg?raw=1)
![](https://www.dropbox.com/s/x5npfltz2wtisy3/left_frog.jpg?raw=1)
![](https://www.dropbox.com/s/xz2gyw2gz9ugstr/right_frog.jpg?raw=1)
![](https://www.dropbox.com/s/87u5w2kh13yav7o/integer_number_line.jpg?raw=1)
INTEGER MULTIPLICATION ON THE NUMBER LINE: FROG MODEL
- Examine the first number you are multiplying. The absolute value of the first number tells you the length of each jump.
- If the first of the two numbers you are multiplying is positive, face the frog rightwards, in the positive direction.
- If the first of the two numbers is negative, face the frog leftwards, in the negative direction.
- Examine the second number you are multiplying. The absolute value of the second number tells you the number of jumps to take.
- If the second of the two numbers you are multiplying is positive, the frog will jump forwards, in the direction in which it is facing.
- If the second of the two numbers is negative, the frog will jump backwards, in the opposite direction to which it is facing.
- For the multiplication a × b: the length of each jump will be |a| steps, and the frog will jump |b| times.