42five in base ten

To understand the value of 42five in base ten, we need to convert it from base five to base ten. In base five (also known as the quinary system), each digit represents a power of five, similar to how each digit in base ten represents a power of ten.

To convert 42five to base ten, we can follow these steps:

1. Start from the rightmost digit and assign it a power of five. The rightmost digit is the unit's digit, which corresponds to 5^0.
2. Multiply the digit by the corresponding power of five.
3. Move to the next digit on the left and assign it the next higher power of five, which is 5^1.
4. Multiply the digit by the corresponding power of five.
5. Continue this process for each digit, assigning powers of five from right to left.
6. Add up all the products obtained from multiplying the digits by their respective powers of five to get the base ten equivalent.

Now let's apply these steps to convert 42five to base ten:

The rightmost digit is 2, which corresponds to 5^0.
2 * 5^0 = 2 * 1 = 2

The next digit on the left is 4, which corresponds to 5^1.
4 * 5^1 = 4 * 5 = 20

Adding up the values we obtained:
2 + 20 = 22

Therefore, 42five in base ten is equal to 22.