Math CentralQuandaries & Queries


Question from samuel, a student:

Good day sir, please i don't understand when you say 4x4=13 in base five? In fact, am always having difficulties in addition, subtraction, division and multiplication of number in the same base other than base ten. Please can you give me one example each with details explanations?

Hi Samuel,

4 times 4 is sixteen and sixteen is three times 5 plus one. Thus in base 5 $4 \times 4 = 31_5$ not $13_5 .$ $13_5$ is one five and three more which is eight.

If you go to the Quandaries and Queries page on Math Central and use the Quick Search to search for the term base 5 you will find some worked examples and explanations of the procedures.


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