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