Convert the following rational numbers into decimals:
`(37)/(1000)`

Answer

To convert the rational number \( \frac{37}{1000} \) into a decimal, we can follow these steps:

### Step 1: Identify the fraction
We start with the fraction \( \frac{37}{1000} \).

### Step 2: Count the number of zeros in the denominator
The denominator is 1000, which has 3 zeros.

### Step 3: Place the decimal point
To convert the fraction to a decimal, we place the decimal point in the numerator (37) such that there are 3 digits to the right of the decimal point.

- We write 37 as 37.000 (adding zeros to the right).
- Now, we move the decimal point 3 places to the left.

### Step 4: Fill in with zeros if necessary
Since 37 has only 2 digits before the decimal point, we need to add a zero before it when we move the decimal point:

- Moving the decimal point 3 places:
- From 37.000, we move it to 0.037.

### Final Answer
Thus, \( \frac{37}{1000} = 0.037 \).

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