Rounding 33.13 to the Nearest Thousandth
The number 33.13 rounded to the nearest thousandth is 33.13.
Step-by-Step Guide
Let's break down the process of rounding 33.13 to the nearest thousandth:
Step 1: Identify the thousandths and ten-thousandths digits
In 33.13, the thousandths digit is 0 and the ten-thousandths digit is 0.
Step 2: Look at the ten-thousandths digit
If the ten-thousandths digit is 5 or greater, round up. If it's less than 5, round down.
Step 3: Round accordingly
The ten-thousandths digit is 0, so we round down.
Similar Calculations
Here are some similar numbers rounded to the nearest thousandth:
| Original Number |
Rounded to Thousandth |
| 33.13 |
33.1 |
| 33.23 |
33.2 |
| 33.145 |
33.1 |
| 33.082 |
33.1 |
| 33.18 |
33.2 |
Understanding Rounding to the Nearest Thousandth
Rounding to the nearest thousandth is a common mathematical operation used in various fields. It helps simplify numbers while maintaining a useful level of precision.
Key Points:
- When rounding to the nearest thousandth, we look at the digit in the next place value to the right.
- If this digit is 5 or more, we round up. If it's less than 5, we round down.
- All digits to the right of the thousandth place are replaced with zeros after rounding.
Practical Applications:
- Finance: Rounding currency values to the nearest cent (hundredth).
- Science: Adjusting measurements to the appropriate level of precision.
- Engineering: Ensuring calculations are practical for manufacturing or construction.
- Everyday math: Simplifying numbers for easier mental calculations.
