We need to draw a model to compute this multiplication:
(1) [tex]5 \times 30[/tex]
If we do the following transformation the result remains equal:
(2) [tex]5 \times (5+5+5+5+5+5)[/tex]
Because:
(3) [tex]5+5+5+5+5+5=30[/tex]
Thus, by applying distributive property in (2):
[tex]5 \times 5+5 \times 5+5 \times 5+5 \times 5+5 \times 5+5 \times 5[/tex]
There are 6 terms of [tex]5 \times 5[/tex].
Therefore we will compute:
[tex]5 \times 5=5+5+5+5+5=25[/tex]
Finally this result must be added to itself 6 times, that is:
[tex]5 \times 30=25+25+25+25+25+25=\boxed{150}[/tex]
