convert the numeral to a numeral in base 10

14
5

The "1" stands for 5 in base 5.

145
=(1*5)+4
=?

4.5 + 1.1

20 + 1

21

Your working is for

415
=4.5 + 1.1
=20 + 1
=21

The units digit is multiplied by 1, and the second digit from the right is multiplied by the base, 5 in this case.
If the number has more than 2 digits, the next digits (to the left) are multiplied by the subsequent powers of the base.

Example:

3217
=3*7^2 + 2*7^1 + 1*7^0
=3*49 + 2*7 + 1*1
=147 + 14 + 1
=162

So
415
=4*5^1 + 1*5^0
=4*5 + 1*1
=21

To convert a numeral in a different base to base 10, you need to follow these steps:

1. Identify the base of the given numeral: In this case, the numeral is "14" with no additional information. By default, we assume it is in base 10.

2. Write down the digits of the numeral: The numeral "14" has two digits, 1 and 4.

3. Calculate the value of each digit: Since the base is 10, each digit holds its face value. The digit 1 is in the ones place, so it represents 1. The digit 4 is in the tens place, so it represents 4 * 10 = 40.

4. Add up the values of all the digits: Add the values calculated in the previous step. In this case, 1 + 40 equals 41.

So, the numeral "14" in base 10 is equal to 41.