# How to Round to the Nearest Hundredth

## Understanding the Concept of Hundredth Place

Before we delve into rounding to the nearest hundredth, it is important to understand the concept of hundredth place. In decimal notation, each digit to the right of the decimal point represents a different place value. The digit immediately to the right of the decimal point represents the tenths place, while the second digit to the right of the decimal point represents the hundredths place.

For example, in the number 3.14159, the digit 1 is in the tenths place, and the digit 4 is in the hundredths place. It is important to note that the digit to the right of the hundredths place is in the thousandths place, and the digit to the right of the thousandths place is in the ten-thousandths place, and so on.

Understanding the concept of hundredth place is crucial in rounding to the nearest hundredth, as it is the digit that determines the rounding rule to be applied.

## Rules for Rounding to the Nearest Hundredth

Rounding to the nearest hundredth involves looking at the digit in the hundredths place and determining whether to round up or down based on the next digit to the right. The following rules can be used to determine whether to round up or down:

- If the digit to the right of the hundredths place is 5 or greater, round up. For example, 3.456 would round up to 3.46 because the digit in the thousandths place (6) is 5 or greater.
- If the digit to the right of the hundredths place is less than 5, round down. For example, 3.453 would round down to 3.45 because the digit in the thousandths place (3) is less than 5.

It is important to note that when rounding to the nearest hundredth, the digits to the left of the hundredths place remain the same. For example, 3.147 would round to 3.15, not 3.1.

## Examples of Rounding to the Nearest Hundredth

To illustrate the rules for rounding to the nearest hundredth, let’s look at a few examples:

- 3.456 rounds up to 3.46 because the digit in the thousandths place (6) is 5 or greater.
- 3.453 rounds down to 3.45 because the digit in the thousandths place (3) is less than 5.
- 3.450 rounds down to 3.45 because the digit in the thousandths place (0) is less than 5.
- 3.455 rounds up to 3.46 because the digit in the thousandths place (5) is 5 or greater.

It is important to note that when rounding to the nearest hundredth, the result will always have two decimal places, even if the original number only had one decimal place.

## Practical Applications of Rounding to the Nearest Hundredth

Rounding to the nearest hundredth is a useful skill in a variety of real-world situations. Here are a few examples of practical applications:

- Calculating sales tax: When calculating sales tax, it is often necessary to round the total cost to the nearest hundredth to ensure accuracy in the final cost.
- Accounting: In accounting, it is important to be precise with numbers. However, in some situations, it may be necessary to round to the nearest hundredth for ease of calculation.
- Science experiments: In science experiments, it is common to have measurements with decimal places. Rounding to the nearest hundredth can help simplify the data for analysis.

Overall, rounding to the nearest hundredth is a skill that can be used in a variety of contexts to ensure accuracy and ease of calculation.

## Common Mistakes to Avoid When Rounding to the Nearest Hundredth

While rounding to the nearest hundredth may seem straightforward, there are a few common mistakes to watch out for. Here are a few things to keep in mind:

- Forgetting to look at the digit in the thousandths place: When rounding to the nearest hundredth, it’s important to pay attention to the digit in the thousandths place, not just the digit in the hundredths place.
- Rounding incorrectly: It’s important to apply the rounding rules correctly. If the digit in the thousandths place is 5 or greater, round up; if it’s less than 5, round down.
- Rounding too early: It’s important to perform any necessary calculations before rounding. Rounding too early can result in an inaccurate final result.
- Forgetting to maintain the correct number of decimal places: When rounding to the nearest hundredth, the result should always have two decimal places. Forgetting to maintain the correct number of decimal places can result in an inaccurate final result.

By keeping these common mistakes in mind and taking the time to double-check calculations, you can avoid errors when rounding to the nearest hundredth.