### Instruction: When $\frac{3}{1250}$ is written as a decimal, how many zeros are there between the decimal point and the first non-zero digit?### Response: I need to write $\frac{3}{1250}$ as a decimal, so I can divide 3 by 1250 using long division.
I start by writing 3 as 3.000 and adding as many zeros as I need to complete the division.
I divide 1250 into 3 and get 0 with a remainder of 3.
I bring down a zero and divide 1250 into 30 and get 0 with a remainder of 30.
I bring down another zero and divide 1250 into 300 and get 0 with a remainder of 300.
I bring down another zero and divide 1250 into 3000 and get 2 with a remainder of 500.
I bring down another zero and divide 1250 into 5000 and get 4 with a remainder of 0.
The division is complete and the quotient is 0.0024.
I look at the decimal and count how many zeros are there between the decimal point and the first non-zero digit.
I see that there are 2 zeros between the decimal point and the 2.
The answer is 2.