In each of the pairs of decimal numbers, state which number is greater?
`1.09,1.093`

Answer

To determine which of the two decimal numbers, 1.09 and 1.093, is greater, we can follow these steps:

### Step-by-Step Solution:

1. **Align the Numbers**:
Write the two numbers one below the other, aligning the decimal points:
```
1.090
1.093
```

2. **Compare the Whole Numbers**:
Look at the whole number part (the part before the decimal point). Both numbers have the same whole number part, which is 1.

3. **Compare the Tenths Place**:
Next, look at the tenths place (the first digit after the decimal point). For 1.09, the tenths digit is 0, and for 1.093, it is also 0. Since both are equal, we move to the next digit.

4. **Compare the Hundredths Place**:
Now, look at the hundredths place (the second digit after the decimal point). For 1.09, the hundredths digit is 9, and for 1.093, it is also 9. Again, both are equal, so we proceed to the next digit.

5. **Compare the Thousandths Place**:
Finally, look at the thousandths place (the third digit after the decimal point). For 1.09, there is no digit, which we can consider as 0. For 1.093, the thousandths digit is 3.

6. **Determine the Greater Number**:
Since 0 (from 1.09) is less than 3 (from 1.093), we conclude that:
```
1.093 > 1.09
```

### Final Answer:
Thus, **1.093 is greater than 1.09**.

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