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 Question from Amanda, a student: Sorry I am having trouble understanding base , 35 in base 6 means 3 10's and 5 ones, which is the same ____ in base 10?

Hi Amanda,

35 in base TEN is 3 tens and 5 ones. (35 cents is 3 ten cent pieces and 5 one cent pieces.)

35 in base SIX (written $35_6$) is 3 sixes and 5 ones. Thus $35_6 = 3 \times 6 + 5 = 18 + 5 = 23.$

I hope this helps,

Penny

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