Question

What is the relationship between the value of the digit 3 in 4,231 and in the value of the digit 3 in the number 3,421?

A. In 4,231, the value of the digit 3 is 1/10 the value of the digit 3 in 3,421.

B. In 4,231, the value of the digit 3 is 10 times the value of the digit 3 in 3,421.

C. In 4,231, the value of the digit 3 is 1/100 the value of the digit 3 in 3,421.

D. In 4,231, the value of the digit 3 is 100 times the value of the digit 3 in 3,421.

Answer 1

C. In 4,231, the value of the digit 3 is 1/100 the value of the digit 3 in 3,421.

Explanation:

Confirmed via Student's Test Results

Answer 2

C. In 4,231, the value of the digit 3 is 1/100 the value of the digit 3 in 3,421.

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`

i = 1;

v(3) is the value of the digit 3

`v(3) = 3*10^(1) = 30`

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`

i = 1;

v(2) is the value of the digit2

`v(1) = 2*10^(1) = 20`

i = 2;

v(4) is the value of the digit 4

`v(4) = 4*10^(2) = 400`

i = 3;

v(3) is the value of the digit 3

`v(4) = 3*10^(3) = 3000`

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.