Answer:
14 base 10
Step-by-step explanation:
Remember what the digits mean in the base 10 system we use.
For example, the number 539 (base 10) means:
The 5 in the hundreds place means 5 × 100 = 500.
The 3 in the tens place means 3 × 10 = 30.
The 9 in the ones place means 9 × 1 = 9.
The number 539 means
5 × 100 + 3 × 10 + 9 × 1 = 500 + 30 + 9 = 539
Also keep in mind one more thing. The ones digit means the number of ones. 1 = 10^0. The number in the ones digit means the number if 10^0 you have.
The ten digits is the digit of 10^1.
The hundreds digit is the digit of 10^2 since 10^2 = 100.
In other words, the ones digit is the number of 10^0 you have.
The tens digit is the number of 10^1 you have.
The hundreds digit is the number of 10^2 you have.
Now let's look at base 5.
Here, each place to the left is a successively higher power of 5 instead of a power of 10.
Think of the number 432 base 5.
The 2 is in the units place. it represents the number of 5^0 or ones you have. In this case, it is 2 × 5^0 = 2 × 1 = 2
The 3 is in the 5^1 place. It represents the number of fives you have.
3 × 5 = 15
The 4 is in the 5^2 place. It represents the number of 25's you have.
4 × 25 = 100
The number 432 base 5 means:
4 × 5^2 + 3 × 5^1 + 2 × 5^0
= 4 × 25 + 3 × 5 + 2 × 1
= 100 + 15 + 2
= 117 base 10
In other words, 432 base 5 = 117 base 10.
Now we do the same with your number, 24 base 5.
24 base 5 =
= 2 × 5^1 + 4 × 5^0
= 2 × 5 + 4 × 1
= 10 + 4
= 14
