Calculate (213)three×(210)three

1 answer

To calculate (213)three × (210)three, first convert both numbers to base 10.

In base 3, the digits range from 0 to 2. Therefore, (213)three would be calculated as:

(213)three = 2 × 3^2 + 1 × 3^1 + 3 × 3^0 = 18 + 3 + 3 = 24

Similarly, (210)three would be calculated as:

(210)three = 2 × 3^2 + 1 × 3^1 + 0 × 3^0 = 18 + 3 + 0 = 21

Now, we can calculate (213)three × (210)three in base 10:

(213)three × (210)three = 24 × 21 = 504

Therefore, (213)three × (210)three is equal to 504 in base 10.