What is 325.623 rounded to the nearest tenth?
The correct answer and explanation is:
Correct Answer: 325.6
Explanation (300 Words):
To round 325.623 to the nearest tenth, follow these steps:
Step 1: Understand Place Values
In the number 325.623:
- The tenths place is the first digit after the decimal: 6
- The hundredths place is the second digit after the decimal: 2
- The thousandths place is the third digit after the decimal: 3
We are rounding to the nearest tenth, so we focus on the tenths place (6) and look at the digit immediately to the right—the hundredths place (2).
Step 2: Apply Rounding Rules
The standard rule for rounding is:
- If the digit to the right is 5 or higher, round up the place value you’re rounding to.
- If the digit is 4 or lower, keep it the same (round down).
In our case:
- Tenths = 6
- Digit to the right (hundredths) = 2 → this is less than 5
So, we do not increase the tenths place. We keep it at 6 and remove all digits after the tenths place.
Step 3: Final Answer
Therefore, 325.623 rounded to the nearest tenth is 325.6.
Why Rounding Matters
Rounding helps simplify numbers and make them easier to interpret, especially in everyday contexts like measurements, finances, or estimates. While we lose some precision, we gain clarity and usability. In this case, rounding 325.623 to 325.6 still gives a very close approximation while making the number more manageable.
This process teaches attention to detail and reinforces understanding of decimal place values—key skills in math and data interpretation.