The multiplication of 3 and -4 on a number line is shown
The number line representation is shown below
On number line the points are at equal distances
The multiplication of 3 with -4 can be understood in the following way:-
a × b , means a jumps b times
Eg :- 3 × -4 means 3 jumps -4 times
Which basically mean we are going to move 3 number per step , and we are going to do this 4 times and –ve sign indicates we will move in negative direction
Therefore,
So, when we move from 0 , when we take first step we reach -3 , in next step we reach -6 , in next we reach -9 and in the last step we reach -12
Which is the product 3 and -4 .i.e. [tex]3 \times 4 =-12[/tex]
