In each of the pairs of decimal numbers, state which number is smaller :
37.701, 37.71

Answer

To determine which of the two decimal numbers, 37.701 and 37.71, is smaller, we can follow these steps:

### Step 1: Align the Decimal Numbers
Write both numbers in a way that makes it easier to compare them. We can add trailing zeros to the second number to make them have the same number of decimal places.

- 37.701
- 37.710 (we can write 37.71 as 37.710)

### Step 2: Compare the Whole Numbers
Look at the whole number part of both decimal numbers. Both numbers have the same whole number part, which is 37.

### Step 3: Compare the Tenths Place
Next, we compare the tenths place (the first digit after the decimal point).

- In 37.701, the tenths place is 7.
- In 37.710, the tenths place is also 7.

Since both are equal, we move to the next decimal place.

### Step 4: Compare the Hundredths Place
Now, we compare the hundredths place (the second digit after the decimal point).

- In 37.701, the hundredths place is 0.
- In 37.710, the hundredths place is 1.

Since 0 is less than 1, we can conclude that 37.701 is smaller than 37.710.

### Conclusion
Therefore, the smaller number is **37.701**.

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