Write the numeral in base ten.
130five
0*5^0 + 3*5^1 + 1*5^2
0 + 15 + 25
40
write base five of 2x444(five)
To convert the numeral "130five" into base ten, you need to understand the concept of place value in different number systems.
In base five, each digit represents a power of five. The rightmost digit represents the ones place, the second digit from the right represents the fives place (5^1), the third digit from the right represents the twenty-fives place (5^2), and so on.
Let's convert "130five" step by step:
1. Start with the rightmost digit. The rightmost digit is 0, which represents the ones place (5^0). So for now, we can ignore this digit.
2. Move to the next digit, which is 3. This digit is in the fives place (5^1). Multiply 3 by 5^1 (which is 5), and you get 15.
3. Move to the next digit, which is 1. This digit is in the twenty-fives place (5^2). Multiply 1 by 5^2 (which is 25), and you get 25.
4. Add up the results from steps 2 and 3. 15 + 25 = 40.
5. Since there is no digit in the higher place value than twenty-fives (5^2), we don't need to perform any additional calculations.
Therefore, the numeral "130five" in base ten is equal to 40.