Rounding 5.684 to the Nearest Hundredth
The number 5.684 rounded to the nearest hundredth is 5.68.
Step-by-Step Guide
Let's break down the process of rounding 5.684 to the nearest hundredth:
Step 1: Identify the hundredths and thousandths digits
In 5.684, the hundredths digit is 8 and the thousandths digit is 4.
Step 2: Look at the thousandths digit
If the thousandths digit is 5 or greater, round up. If it's less than 5, round down.
Step 3: Round accordingly
The thousandths digit is 4, so we round down.
Similar Calculations
Here are some similar numbers rounded to the nearest hundredth:
| Original Number |
Rounded to Hundredth |
| 5.684 |
6 |
| 5.602 |
6 |
| 5.724 |
6 |
| 5.732 |
6 |
| 5.645 |
6 |
Understanding Rounding to the Nearest Hundredth
Rounding to the nearest hundredth 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 hundredth, 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 hundredth 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.
