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Chapter 5: Problem 30

Pronounce the given decimal number. Write your answer out in words. 0.6879

Short Answer

Expert verified
Zero point six eight seven nine.

Step by step solution

01

Understanding the Decimal

First, recognize that a decimal number is composed of a whole number and a fractional part, separated by a decimal point. In this case, the whole number part is 0, and the fractional part is .6879.
02

Identifying Place Values

Break down the fractional part, .6879, by place value. Each digit represents tenths, hundredths, thousandths, and ten-thousandths, respectively.
03

Writing in Words

Combine what you've understood about decimal sounds. The number 0.6879 is said aloud as 'zero point six eight seven nine,' pronouncing each digit after the decimal separately.

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Key Concepts

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

Understanding Place Value in Decimals
When working with decimal numbers, recognizing the place value of each digit is crucial. Place value helps us understand the position and value of each digit in a number.
For example, in the decimal number 0.6879, each digit's position corresponds to a specific place value right after the decimal point. Here's the breakdown:
  • The first digit after the decimal point is the tenths place. For 0.6879, 6 is in the tenths place, meaning 6 tenths or \( \frac{6}{10} \).
  • The second digit is the hundredths place. Here, 8 represents 8 hundredths or \( \frac{8}{100} \).
  • The third digit is in the thousandths place, so 7 is 7 thousandths or \( \frac{7}{1000} \).
  • Finally, the fourth digit is in the ten-thousandths place. Therefore, 9 represents 9 ten-thousandths or \( \frac{9}{10000} \).
Understanding these place values helps in pronouncing and writing decimal numbers accurately.
What is the Fractional Part of a Decimal?
A decimal number is made up of two parts: the whole number part and the fractional part. In the example 0.6879, the whole number is 0.
The fractional part is everything after the decimal point which is 6879. The fractional part represents the portion of a whole number split up into smaller parts using powers of 10.
  • The fractional part is divided into tenths, hundredths, thousandths, etc., depending on its length.
  • Each of these divisions is a fraction of the whole number, and together they provide the precision of the decimal number.
  • Fractions within the fractional part can be combined to form the exact numerical value of the decimal.
Understanding the fractional part allows us to grasp how decimals represent numbers less than one in our everyday calculations.
Pronunciation of Decimal Numbers
Pronouncing decimal numbers correctly involves saying the whole number, if any, and then the digits following the decimal point individually.
For the number 0.6879, you would say 'zero point six eight seven nine.' Here are a few key points:
  • The decimal point is pronounced as 'point.'
  • The digits after 'point' are stated individually as 'six eight seven nine.'
  • There are no specific place value names spoken in the pronunciation unlike fractions. You do not say "six tenths," just 'six.' Each digit is pronounced singularly for clarity.
This method ensures that anyone listening understands the precise decimal being referred to, eliminating confusion over potential place value errors.

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Most popular questions from this chapter

Add or subtract the decimals, as indicated. \(-4.560-2.335\)

Multiply the decimals. (6.9)(0.3)

In Exercises 1-28, multiply the decimals. (6.7)(0.03)

Convert the given fraction to a repeating decimal. Use the "repeating bar鈥� notation. \(\frac{532}{21}\)

Add or subtract the decimals, as indicated. \(1.4+(-86.9)\)
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