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Chapter 1: Problem 549

Round each number to the nearest tenth. $$ 2.84 $$

Short Answer

Expert verified
2.84 rounded to the nearest tenth is 2.8.

Step by step solution

01

Identify the Tenths and Hundredths Place

Examine the number 2.84. The tenths place is the first digit after the decimal point, which is 8. The hundredths place is the second digit after the decimal point, which is 4.
02

Evaluate the hundredths place

Check if the hundredths place (4) is greater than or equal to 5. If it is, round the tenths place up by 1. If it is less than 5, keep the tenths place as it is.
03

Perform the Rounding

Since 4 is less than 5, the tenths place remains unchanged. Therefore, 2.84 rounded to the nearest tenth is 2.8.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Tenths Place
Understanding the tenths place is the first step in rounding decimals correctly. The tenths place is the digit immediately after the decimal point in a number. For example, in the number 2.84, the tenths place is 8.
To identify it easily, follow these steps:
  • Locate the decimal point in the number.
  • The digit right next to it, to the right, is the tenths place.
Recognizing the tenths place is crucial because it determines how we round the number based on the digits that follow it.
Hundredths Place
The hundredths place is the second digit after the decimal point. It plays a key role in deciding whether to round up or down the tenths place. In the number 2.84, the hundredths place is 4.
Here's how you can find it:
  • Find the decimal point in the number.
  • Move two digits to the right after the decimal point.
In our example with 2.84, the digit 4 in the hundredths place is used to determine if the tenths place (8) should be adjusted.
Rounding Rules
Rounding decimals to the nearest tenth follows a set of simple rules. These are crucial to ensure accuracy:
  • Identify the tenths place and the hundredths place.
  • If the hundredths place is 5 or greater, increase the tenths place by one.
  • If the hundredths place is less than 5, keep the tenths place the same.
For instance, in rounding 2.84, we looked at the hundredths place, which is 4. Since 4 is less than 5, we leave the tenths place as it is, therefore, 2.84 rounded to the nearest tenth is 2.8.
Remember these rules and you'll be able to round any decimal with confidence!

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