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Rounding to the Nearest Hundredth Calculator

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How to Round a Decimal Number to the Nearest Hundredth

Rounding to the Nearest Hundredth Calculator – Free Online Tool with Formula, Steps & Examples

Rounding to the Nearest Hundredth Calculator

What is Rounding to the Nearest Hundredth Calculator?

The Rounding to the Nearest Hundredth Calculator is a quick online tool that helps you round any decimal number to its nearest hundredth value (to two decimal places). The hundredth place is the second digit after the decimal point. For example, in 3.146, the 4 is in the hundredths place. This calculator is especially useful in school, banking, science, and daily life when you need numbers accurate up to two decimal places, such as for money, measurements, or scores.


Formula or Logic Behind Rounding to the Nearest Hundredth

To round a number to the nearest hundredth, follow these simple steps:

  • Identify the digit in the hundredth’s place (the second digit after the decimal point).
  • Look at the digit immediately to its right (the thousandth’s place).
  • If the thousandth digit is 5 or more, increase the hundredth’s digit by one.
  • If the thousandth digit is less than 5, leave the hundredth’s digit as it is.
  • Remove all digits after the hundredth place.
In short, the logic uses the following formula: rounded number = Math.round(number × 100) ÷ 100.


Examples of Rounding to the Nearest Hundredth

Number Rounded to Nearest Hundredth Explanation
129.257 129.26 Thousandth digit is 7 (≥5), so hundredths increases from 5 to 6
5.997 6.00 Thousandth digit is 7 (≥5), hundredth 9 goes to 10, so whole number increases
1.1462 1.15 Thousandth digit is 6 (≥5), hundredths increases from 4 to 5
1.347 1.35 Thousandth digit is 7 (≥5), hundredths increases from 4 to 5
0.133 0.13 Thousandth digit is 3 (<5), so hundredths remains 3
2.1626 2.16 Thousandth digit is 2 (<5), hundredths remains 6
3.141 3.14 Thousandth digit is 1 (<5), so hundredths remains 4
6.125 6.13 Thousandth digit is 5 (≥5), so hundredths 2 becomes 3

Steps to Use the Rounding to the Nearest Hundredth Calculator

  • Enter the decimal number you want to round in the input box above.
  • Click on the 'Calculate' button.
  • See your result instantly with step-by-step rounding explanation.

Why Use Vedantu’s Rounding to the Nearest Hundredth Calculator?

Vedantu’s Rounding to the Nearest Hundredth Calculator is:

  • Easy to use and mobile-friendly
  • Shows instant, precise results with clear solution steps
  • Trusted by lakhs of students and teachers across India
  • Free to use anytime on any device
  • Aligned with school syllabus and exam standards
Whether you are preparing for an exam, completing homework, or need nag-free, accurate maths help, Vedantu has you covered!


Real-life Applications of Rounding to the Nearest Hundredth

Rounding decimal numbers to two decimal places is common in:

  • Finance & Banking: All money transactions use up to hundredth of a rupee (paise), like ₹128.74.
  • Academics: Marks, grades, and test scores are often rounded for fairness and simplicity.
  • Measurements: Science experiments and lab readings report values to the nearest hundredth for precision.
  • Shopping: Product discounts, price tags, and tax calculations are rounded to keep things simple.
  • Statistics/Percentages: Results are presented to the nearest hundredth for clarity.
For more maths topics, check out Prime Numbers, Algebra Topics, or HCF Calculator on Vedantu too.


FAQs on Rounding to the Nearest Hundredth Calculator

1. What does rounding to the nearest hundredth mean?

Rounding to the nearest hundredth means approximating a number to two decimal places. We look at the digit in the thousandths place (third decimal place). If this digit is 5 or greater, we round the hundredths digit (second decimal place) up. If it's less than 5, we keep the hundredths digit as it is. This simplifies the number while maintaining accuracy.

2. How do you round 1.347 to the nearest hundredth?

To round 1.347 to the nearest hundredth, we examine the thousandths place (7). Since 7 is greater than or equal to 5, we round the hundredths digit (4) up by 1. Therefore, 1.347 rounded to the nearest hundredth is 1.35.

3. How do I round 5.997 to the nearest hundredth?

In 5.997, the thousandths digit is 7 (≥5). We round the hundredths digit (9) up. Since 9 + 1 = 10, we carry-over the 1 to the ones place. Thus, 5.997 rounded to the nearest hundredth is 6.00.

4. What is the formula for rounding decimals to the nearest hundredth?

There isn't a single formula, but a process: 1. Identify the hundredths digit. 2. Look at the thousandths digit. 3. If the thousandths digit is 5 or greater, add 1 to the hundredths digit. 4. If the thousandths digit is less than 5, keep the hundredths digit the same. 5. Drop all digits after the hundredths place.

5. How to round decimals to the nearest hundredth?

Rounding to the nearest hundredth involves these steps: 1. Locate the hundredths place (second digit after the decimal). 2. Check the digit in the thousandths place (third digit after the decimal). 3. If the thousandths digit is 5 or more, increase the hundredths digit by 1. 4. If the thousandths digit is less than 5, leave the hundredths digit unchanged. 5. Remove digits beyond the hundredths place.

6. What are some real-life applications of rounding to the nearest hundredth?

Rounding to the nearest hundredth is used in various situations: Finance (calculating amounts to two decimal places), Science (reporting measurements with precision), Engineering (design specifications), and Everyday life (calculating tips or discounts).

7. How to use a rounding to the nearest hundredth calculator?

Typically, you input the decimal number into the designated field of the calculator. Then, press the 'Calculate' or equivalent button. The calculator will display the rounded number to the nearest hundredth.

8. What is the hundredths place in a decimal number?

The hundredths place is the second digit to the right of the decimal point in a decimal number. For example, in 3.14159, the digit '4' is in the hundredths place.

9. Why do we round numbers to the nearest hundredth?

We round numbers to the nearest hundredth for several reasons: to simplify calculations, to improve readability, to present data concisely, and to maintain a level of accuracy sufficient for the context. For example, money is often rounded to the nearest cent (hundredth).

10. Explain rounding to two decimal places.

Rounding to two decimal places is the same as rounding to the nearest hundredth. It means expressing a number with only two digits after the decimal point, using the standard rounding rules.

11. Give examples of rounding to the nearest hundredth.

Here are some examples: 2.783 rounds to 2.78; 4.565 rounds to 4.57; 1.995 rounds to 2.00; 0.034 rounds to 0.03.

12. What if the thousandths digit is exactly 5 when rounding to the nearest hundredth?

When the thousandths digit is exactly 5, there are different conventions. A common method is to round to the nearest *even* number in the hundredths place. For example, 2.345 would round to 2.34, while 2.355 would round to 2.36. This helps to reduce bias over many rounding operations.