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Chapter 0: Problem 38

$$ \text { Round } 3.02 \text { to the nearest tenth. } $$

Short Answer

Expert verified
3.0

Step by step solution

01

Identify the Tenths Place

Look at the decimal number 3.02. The digit in the tenths place is the first digit to the right of the decimal point. In this case, the digit in the tenths place is 0.
02

Look at the Hundredths Place

To determine whether to round the tenths place up or keep it the same, examine the digit in the hundredths place. For the number 3.02, the digit in the hundredths place is 2.
03

Apply Rounding Rules

If the hundredths place is 5 or greater, round up the tenths place by 1. If the hundredths place is less than 5, keep the tenths place the same. Since 2 is less than 5, the tenths place remains 0.
04

Write the Rounded Number

Based on the previous step, the number 3.02 rounded to the nearest tenth remains 3.0.

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Key Concepts

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

tenths place
When rounding decimals, a crucial step is to identify the tenths place. This is the first digit to the right of the decimal point.
For example, in the number 3.02, the digit in the tenths place is 0.

Understanding the tenths place is essential because it determines the starting point for rounding a decimal number.
By focusing on the tenths place, we can decide whether the number stays the same or gets rounded up.
hundredths place
After identifying the tenths place, the next step is to look at the digit in the hundredths place.
In the number 3.02, the hundredths place is occupied by the digit 2, which is the second digit to the right of the decimal point.

The hundredths place is important because it plays a key role in determining whether you need to round the tenths place up or leave it as is.
To clarify, if the hundredths digit is 5 or higher, you round the tenths digit up by one; if it is less than 5, you keep the tenths digit the same.
rounding rules
Rounding rules are simple guidelines that help us round decimal numbers properly.
Here are the basic rounding rules:
  • If the digit in the place you are rounding to is followed by a digit of 5 or greater, you round up.
  • If the digit is followed by a number less than 5, you keep the digit the same.

In our example with the number 3.02, we checked the hundredths place, which is 2.
Since 2 is less than 5, we don't round up the tenths place.
Thus, 3.02 rounded to the nearest tenth becomes 3.0.

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Most popular questions from this chapter

For exercises \(85-108\), write \(>\) or \(<\) between the numbers to make a true statement. $$ \frac{28}{5} \quad \frac{47}{9} $$

For exercises 39-46, rewrite the percent as a fraction. Simplify the fraction into lowest terms. $$ 12 \% $$

For exercises 39-46, rewrite the percent as a fraction. Simplify the fraction into lowest terms. $$ 85 \% $$

For exercises 115-118, evaluate. On a scientific calculator, use the fraction key. For graphing calculators, use the Frac command to rewrite the decimal answer as a fraction. $$ \frac{5}{34}+\frac{8}{21} $$

For exercises \(47-58\), rewrite the percent as a decimal number. $$ 8.4 \% $$
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