Question

What the the relationship between the values of the 3’s in the number 633,026

Answer 1

The first 3 represents 30,000 while the second 3 represents 3000.

Thus the value represented by the first 3 is 10 times the value represented by the second 3.

Answer 2

Our numeric system is positional, meaning that each digit has a different value, depending on the position it is.

So, starting from the left, we have the digit of units, then the tens, the hundred, the thousand...Each time you go a digit to the left, the value increases by a scale of ten.

In formula, the coefficient of the n-th digit from the right is
`10^(n-1)`

In your case, the 3's are in the fourth and fifth position, which means that the 3 in fourth position is worth

`3 * 10^(4-1) = 3 * 10^3 = 3000`

whereas the 3 in fifth position is worth

`3 * 10^(5-1) = 3 * 10^4 = 30000`