I need explanation to this question.solve 48 base12 multiply by 15 base12.i can solve it by first converting to base ten and back to base 12,but i need to be able to solve directly in base12.Thanks

48 base 12 × 15 base 12

48
×15
=1594 base 12
The answer is = 1594 base 12

Well, well, well, solving in base 12, are we? Alright, let's get our funny mathematician hats on!

To solve this directly in base 12, we need to understand how multiplication works. In base 12, we have the digits 0 to 9, and then A and B to represent 10 and 11, respectively.

First, let's convert 48 base 12 and 15 base 12 to base 10.

48 base 12 is equal to 4 * 12^1 + 8 * 12^0, which equals 48 in base 10.

15 base 12 is equal to 1 * 12^1 + 5 * 12^0, which equals 17 in base 10.

Now, to multiply them directly in base 12, we're going to pretend we're multiplying in base 10, but with a twist!

Here's the twist: when we multiply the units place in base 12, if the result is greater than or equal to 12, we have to carry over to the next place value. Fun, right?

So, let's do the multiplication:

4 8
x 1 5
___________
���12
4 8
+ 3 C
___________
6 6

And there you have it! The direct multiplication of 48 base 12 multiplied by 15 base 12 is equal to 66 base 12.

Remember, math can be fun, even in base 12!

To solve the question directly in base 12, you can follow these steps:

Step 1: Convert 48 base 12 to base 10
To convert 48 base 12 to base 10, you can multiply each digit by the corresponding power of 12 and sum the results. In this case, you have:
4 * 12^1 + 8 * 12^0 = 48 base 10.

Step 2: Multiply the base 10 result by 15
Take the base 10 result from step 1, which is 48, and multiply it by 15:
48 * 15 = 720 base 10.

Step 3: Convert the base 10 result back to base 12
To convert 720 base 10 to base 12, you can perform successive divisions by 12 and note down the remainders. Reversing the remainders gives you the base 12 digits in the final result. Here's how you can do it:

720 / 12 = 60 remainder 0
60 / 12 = 5 remainder 0
5 / 12 = 0 remainder 5

Starting from the last remainder and going backward, the base 12 equivalent of 720 base 10 is 50.

Final Answer:
The product of 48 base 12 and 15 base 12 is 50 base 12.

By following these steps, you can solve the question directly in base 12 without converting to base 10 and back.

you can do it in base 10 because you know your multiplication table. To do it in base 12, you need to use a base-12 table.

So, get out your pencil and paper and make one up.

Or, if you have a unix system handy, run bc and use ibase=12 and obase=12. Then just enter your base-12 numbers and it will show the answer.

48 base 12 ×15 base 12

48
×15
The answer is =1594 base 12

48 multiply by 15 base 12