5.627 rounded to the nearest hundredth

Antoniyos Authors

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15-03-2025

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Rounding 5.627 to the Nearest Hundredth: A Step-by-Step Guide

Rounding numbers is a fundamental skill in mathematics, useful in everyday life and crucial for various fields like science, engineering, and finance. This article will guide you through the process of rounding the number 5.627 to the nearest hundredth. We'll break it down step-by-step, making it easy to understand, even for beginners.

Understanding Place Value

Before we begin rounding, let's review place value. In the number 5.627:

• 5 is in the ones place.
• 6 is in the tenths place.
• 2 is in the hundredths place.
• 7 is in the thousandths place.

We're aiming to round to the nearest hundredth, meaning we'll focus on the digit in the hundredths place (the number 2) and the digit to its right (the number 7).

The Rounding Rule

The rule for rounding is simple:

• If the digit to the right of the target place is 5 or greater (5, 6, 7, 8, or 9), round the target digit up. This means increasing the target digit by 1.
• If the digit to the right of the target place is less than 5 (0, 1, 2, 3, or 4), keep the target digit as it is.

Rounding 5.627

Let's apply the rule to 5.627:

1. Identify the target digit: The target digit is 2 (the hundredths place).
2. Look at the digit to its right: The digit to the right of 2 is 7.
3. Apply the rule: Since 7 is greater than 5, we round the target digit (2) up by 1. This means 2 becomes 3.
4. Drop the remaining digits: We drop the digit in the thousandths place (7).

Therefore, 5.627 rounded to the nearest hundredth is 5.63.

Practice Makes Perfect

Try rounding these numbers to the nearest hundredth:

• 3.14159
• 9.999
• 12.055
• 0.049

Remember to always identify the target digit and the digit to its right before applying the rounding rule. Consistent practice will solidify your understanding of this essential mathematical concept.

Conclusion

Rounding numbers to the nearest hundredth, or any other place value, involves understanding place value and applying a simple rule. By following the steps outlined above, you can confidently round any number to the required degree of accuracy. Mastering this skill is a key step towards greater proficiency in mathematics and its various applications.