In each of the pairs of decimal numbers, state which number is smaller :
5.907,5.903

Answer

To determine which of the two decimal numbers, 5.907 and 5.903, is smaller, we will compare them step by step.

### Step-by-Step Solution:

1. **Identify the Decimal Numbers**:
We have two numbers to compare: 5.907 and 5.903.

2. **Align the Numbers**:
Write the numbers one below the other to compare them easily:
```
5.907
5.903
```

3. **Compare the Whole Numbers**:
Look at the whole number part (the digits before the decimal point). Both numbers have the whole number part as 5. Since they are the same, we move to the next step.

4. **Compare the Tenths Place**:
Look at the first digit after the decimal point (tenths place). In both numbers, the tenths place is 9. They are the same, so we proceed to the next digit.

5. **Compare the Hundredths Place**:
Now, look at the second digit after the decimal point (hundredths place). In both numbers, the hundredths place is 0. They are still the same, so we continue.

6. **Compare the Thousandths Place**:
Finally, look at the third digit after the decimal point (thousandths place). In 5.907, the digit is 7, and in 5.903, the digit is 3. Here, we see that 7 is greater than 3.

7. **Determine the Smaller Number**:
Since 7 (from 5.907) is greater than 3 (from 5.903), we conclude that 5.903 is the smaller number.

### Conclusion:
The smaller number between 5.907 and 5.903 is **5.903**.

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