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Chapter 5: Problem 534

In the following exercises, name each decimal. $$ 0.8 $$

Short Answer

Expert verified
Eight tenths or zero point eight.

Step by step solution

01

Understand Decimal Notation

Identify the position of each digit in the decimal. Here, 0.8 has one digit to the right of the decimal point.
02

Identify the Place Value

In the decimal 0.8, the digit 8 is in the tenths place because it is one place to the right of the decimal point.
03

Write the Decimal Name

Since the digit 8 is in the tenths place, the name of the decimal 0.8 is either 'eight tenths' or 'zero point eight'.

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Key Concepts

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

Understanding Decimal Notation
Decimals are a way to represent fractions and parts of a whole using place value. In decimal notation, numbers are written with a decimal point separating the integer part from the fractional part.
For example, in the number 0.8, the '0' is the integer part, and the '8' is the fractional part.
The position of each digit to the right of the decimal point represents a fraction with a denominator that is a power of 10.
Each place value decreases by a factor of 10 as you move to the right of the decimal point.
Understanding Place Value
Place value is crucial in understanding decimals. It tells us the value of each digit in a number based on its position.
The digit immediately to the right of the decimal point is in the 'tenths' place.
The next position to the right is the 'hundredths' place, followed by the 'thousandths' place, and so on.
In 0.8, the digit '8' is in the tenths place, which means it represents 8 parts out of 10, or 8/10.
Naming Decimals
Naming decimals involves understanding the place value of the digits. For the decimal 0.8:
1. Identify the place value of the last digit.
2. In 0.8, the '8' is in the tenths place.
3. You can then name the decimal as 'eight tenths'.
Another way to name the decimal is by reading out each digit: 'zero point eight'.
This method is often simpler, especially for beginners.

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Most popular questions from this chapter

Sales Tax Jennifer bought a \(\$ 1,038.99\) dining room set for her home in Cincinnati. She calculated the sales tax to be exactly \(\$ 67.53435\) . Round the sales tax to the nearest (a) penny (b) dollar.

Find the quotient of \(0.12 \div 0.04\) and explain in words all the steps taken.

Write each set of numbers in order from least to greatest. \(\frac{3}{5}, \frac{9}{16}, 0.55\)

In the following exercises, divide. $$ \$ 6.29 \div 12 $$

In the following exercises, simplify. $$(1.43+0.27) \div(0.9-0.05)$$
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