Round To The Nearest Hundredth Worksheet

Rounding to the Nearest Hundredth: A Comprehensive Worksheet Guide

Rounding is a fundamental mathematical skill used daily, from calculating grocery bills to understanding financial reports. While many understand rounding to the nearest whole number or ten, mastering rounding to the nearest hundredth requires a deeper understanding of decimal places and place value. This article provides a comprehensive guide to rounding to the nearest hundredth, including practice exercises and helpful tips to improve accuracy and speed. We'll cover various scenarios, from simple rounding to more complex problems involving addition, subtraction, multiplication, and division. Let's dive in!

Understanding Decimal Places and Place Value

Before we tackle rounding to the nearest hundredth, let's solidify our understanding of decimal places and place value. The decimal point separates the whole number part from the fractional part of a number. To the right of the decimal point, we have tenths, hundredths, thousandths, and so on.

• Tenths: The first digit to the right of the decimal point represents tenths (e.g., in 0.7, the 7 is in the tenths place).
• Hundredths: The second digit to the right of the decimal point represents hundredths (e.g., in 0.25, the 5 is in the hundredths place).
• Thousandths: The third digit to the right of the decimal point represents thousandths, and so on.

Understanding these place values is crucial for accurately rounding to the nearest hundredth.

The Rule for Rounding to the Nearest Hundredth

The core rule for rounding to the nearest hundredth is straightforward:

Look at the digit in the thousandths place (the third digit to the right of the decimal point).

• If this digit is 5 or greater (5, 6, 7, 8, or 9), round the hundredths digit up by one.
• If this digit is less than 5 (0, 1, 2, 3, or 4), keep the hundredths digit as it is.

Examples of Rounding to the Nearest Hundredth

Let's work through some examples to illustrate this rule:

Example 1: Round 3.14159 to the nearest hundredth.

1. Identify the hundredths digit: The hundredths digit is 4.
2. Look at the thousandths digit: The thousandths digit is 1.
3. Apply the rule: Since 1 is less than 5, we keep the hundredths digit as it is.
4. Result: 3.14

Example 2: Round 2.7862 to the nearest hundredth.

1. Identify the hundredths digit: The hundredths digit is 8.
2. Look at the thousandths digit: The thousandths digit is 6.
3. Apply the rule: Since 6 is greater than or equal to 5, we round the hundredths digit up by one (8 becomes 9).
4. Result: 2.79

Example 3: Round 15.995 to the nearest hundredth.

1. Identify the hundredths digit: The hundredths digit is 9.
2. Look at the thousandths digit: The thousandths digit is 5.
3. Apply the rule: Since 5 is greater than or equal to 5, we round the hundredths digit up by one. This results in 10, so we carry-over the 1 to the tenths place.
4. Result: 16.00

Rounding to the Nearest Hundredth Worksheet: Practice Problems

Here are some practice problems to test your understanding. Try to solve them before checking the answers at the end of this section.

Part 1: Basic Rounding

1. Round 4.567 to the nearest hundredth.
2. Round 12.344 to the nearest hundredth.
3. Round 0.999 to the nearest hundredth.
4. Round 87.125 to the nearest hundredth.
5. Round 1.005 to the nearest hundredth.
6. Round 9.995 to the nearest hundredth.
7. Round 25.001 to the nearest hundredth.
8. Round 0.004 to the nearest hundredth.
9. Round 100.055 to the nearest hundredth.
10. Round 0.049 to the nearest hundredth.

Part 2: Rounding in Calculations

For these problems, perform the calculation first, then round the result to the nearest hundredth.

11. 15.789 + 3.214
12. 24.673 - 11.892
13. 5.231 x 4.128
14. 36.875 / 2.5
15. 1.234 x 0.567 + 2.345

Part 3: Word Problems

16. A runner completed a race in 12.3456 seconds. Round this time to the nearest hundredth of a second.
17. A carpenter measured a piece of wood to be 2.789 meters long. Round this measurement to the nearest hundredth of a meter.
18. The cost of an item was $19.995. Round the price to the nearest hundredth of a dollar.
19. A scientist recorded a temperature of 23.4567 degrees Celsius. Round the temperature to the nearest hundredth of a degree.
20. A student calculated the area of a circle to be 31.4159 square centimeters. Round the area to the nearest hundredth of a square centimeter.

Answers to Practice Problems:

Part 1:

1. 4.57
2. 12.34
3. 1.00
4. 87.13
5. 1.01
6. 10.00
7. 25.00
8. 0.00
9. 100.06
10. 0.05

Part 2:

11. 19.00
12. 12.78
13. 21.63
14. 14.75
15. 3.99

Part 3:

16. 12.35 seconds
17. 2.79 meters
18. $20.00
19. 23.46 degrees Celsius
20. 31.42 square centimeters

Tips for Improving Accuracy and Speed

• Practice regularly: Consistent practice is key to mastering any mathematical skill.
• Use visual aids: Diagrams and charts can help visualize place value and the rounding process.
• Break down complex problems: For complex calculations, break the problem into smaller, more manageable steps.
• Check your work: Always double-check your answers to ensure accuracy.
• Utilize online resources: Many websites and apps offer interactive exercises and tutorials on rounding.

Advanced Applications of Rounding to the Nearest Hundredth

Rounding to the nearest hundredth isn't limited to simple exercises. It finds applications in various fields:

• Finance: Calculating interest rates, stock prices, and financial statements often requires rounding to the nearest hundredth.
• Science: Measuring quantities like temperature, weight, and volume frequently involves rounding to the nearest hundredth.
• Engineering: Precision in engineering demands accurate rounding for measurements and calculations.
• Statistics: Rounding plays a vital role in presenting statistical data clearly and concisely.

Conclusion

Rounding to the nearest hundredth is a crucial skill that enhances precision in various mathematical and real-world applications. By understanding the rules, practicing consistently, and utilizing the tips provided, you can significantly improve your ability to round accurately and efficiently. This comprehensive guide and the accompanying worksheet provide a solid foundation for mastering this fundamental skill. Remember, consistent practice is the key to success! Keep practicing, and you'll soon become proficient in rounding to the nearest hundredth and beyond.