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Chapter 6: Problem 7

Round 4.8063 to the nearest tenth.

Short Answer

Expert verified
The number 4.8063 rounded to the nearest tenth is 4.8.

Step by step solution

01

Identify the tenths place

To round to the nearest tenth, first identify the digit in the tenths place of the number 4.8063. This is the first digit to the right of the decimal point. In this case, the number 4.8063 has a 8 in the tenths place.
02

Examine the next digit

The next step is to look at the digit to the right of the tenths place, which will determine if we round up or stay the same. In the number 4.8063, the digit to the right of 8 is 0.
03

Determine rounding action

According to rounding rules, if the digit after the place you are rounding is 5 or higher, you round up the tenths place by one. If it's less than 5, the tenths place remains the same. Here, since the digit 0 is less than 5, we keep the tenths digit unchanged.
04

Round the number

Since the digit in the next position (hundredths) is 0 and less than 5, we do not round up the 8 in the tenths place. Thus, the number 4.8063 rounded to the nearest tenth is 4.8.

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Key Concepts

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

Tenths Place
In the world of decimals, identifying the tenths place is key to accurate rounding. This place is the first digit immediately following the decimal point. For instance, in the number 4.8063, the tenths place is represented by the digit 8. Understanding how to locate this digit forms the foundation of decimal rounding, as it determines the entire process. When dealing with decimals, beginning by spotting the tenths position simplifies further rounding steps. Additionally, recognizing and understanding the role of each decimal place helps students tackle more complex numerical concepts with confidence.
Decimal Rounding
Decimal rounding involves simplifying a number while retaining as much of its significant value as possible. The aim of rounding is to make complex numbers easier to work with. When rounding 4.8063 to the nearest tenth, you focus mainly on the digits to the right of the decimal point. After identifying the tenths digit, you look one place to the right鈥攖ermed the hundredths place. This digit's value guides the rounding decision. By concentrating on these critical positions within the number, rounding becomes a much clearer task. It streamlines the number for practical, everyday usage without significant loss of value.
Rounding Rules
Rounding is guided by a key set of rules designed to handle numbers logically and consistently.
  • If the digit immediately after the place you are rounding to is 5 or more, round up.
  • If it is less than 5, keep the digit the same.
In our example with 4.8063, because the hundredths digit (0) is less than 5, the tenths digit (8) remains unchanged. These simple rules ensure that incremental changes in a number do not significantly alter its identity. Understanding these rules fosters precision and supports students in making correct rounding decisions across various math applications and real-life situations.

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Most popular questions from this chapter

Convert each decimal fraction to a proper fraction or a mixed number. Be sure to reduce. 1.0055

Complete the chart by rounding each decimal to the indicated positions. 1.999994 $$\begin{array}{|l|l|l|l|} \hline \text { Tenth } & \text { Hundredth } & \text { Thousandth } & \text { Ten Thousandth } \\ \hline & & & \\\\\hline\end{array}$$

Write each decimal fraction. Nine and four thousandths.

Perform each operation and simplify. $$ 150.79 \div 100 $$

Write each decimal fraction. Five hundred eleven and four thousandths.
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