



 
Hi Alise, I'll do a similar problem for you. Start to multiply as you would in base ten. 3 times 4 is twelve and twelve is $22_5$ so write 2 as the units digit in the first row of the multiplication and carry 2. Now multiply 3 times 1 to get 3 and add the carry of 2 to get five. But five in base five is $10_5$ so write a 0 in the first row of the multiplication and carry a 1. Next multiply 3 times 3 to get nine and add 1 to get ten which is $20_5$ so write another 0 and a carry of 2. To finish the first row of the multiplication multiply 3 times 2 to get six and add the carry of 2 to get eight which is $13_5$ Now move to the second row but this is easy since the multiplier is 1 so you get All that remains is to add. The first three columns are easy and then in the fourth column 3 plus 3 is six which is $11_5$ so write a 1 and carry a 1 to get Finally 2 plus 1 is 3 and adding the carry of 1 gives 4 so the result is Now try your problem and write back if you need more help. Penny  


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