Answer:
C. In 4,231, the value of the digit 3 is 1/100 the value of the digit 3 in 3,421.
Step-by-step explanation:
In each case, from the digit at the right, you go multiplying each element by 10 powered to a counter that starts at zero and increases at every digit. So:
Our counter is i.
For 4,231
i = 0;
v(1) is the value of the digit 1
![v(1) = 1*10^{0} = 1](https://tex.z-dn.net/?f=v%281%29%20%3D%201%2A10%5E%7B0%7D%20%3D%201)
i = 1;
v(3) is the value of the digit 3
![v(3) = 3*10^{1} = 30](https://tex.z-dn.net/?f=v%283%29%20%3D%203%2A10%5E%7B1%7D%20%3D%2030)
In 4,231, the value of the digit 3 is 30.
For 3,421
i = 0;
v(1) is the value of the digit 1
![v(1) = 1*10^{0} = 1](https://tex.z-dn.net/?f=v%281%29%20%3D%201%2A10%5E%7B0%7D%20%3D%201)
i = 1;
v(2) is the value of the digit2
![v(1) = 2*10^{1} = 20](https://tex.z-dn.net/?f=v%281%29%20%3D%202%2A10%5E%7B1%7D%20%3D%2020)
i = 2;
v(4) is the value of the digit 4
![v(4) = 4*10^{2} = 400](https://tex.z-dn.net/?f=v%284%29%20%3D%204%2A10%5E%7B2%7D%20%3D%20400)
i = 3;
v(3) is the value of the digit 3
![v(4) = 3*10^{3} = 3000](https://tex.z-dn.net/?f=v%284%29%20%3D%203%2A10%5E%7B3%7D%20%3D%203000)
In 3,421, the value of the digit 3 is 3000.
So the correct answer is:
C. In 4,231, the value of the digit 3 is 1/100 the value of the digit 3 in 3,421.