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Chapter 6: Problem 24

Write each decimal fraction. Nine hundred forty-seven thousandths.

Short Answer

Expert verified
The decimal fraction is 0.947.

Step by step solution

01

Understanding the Exercise

The task is to convert a verbal description of a decimal fraction into numerical form. We are given the phrase "nine hundred forty-seven thousandths."
02

Identifying the Place Value

In the phrase "nine hundred forty-seven thousandths," the word "thousandths" describes the place value of the last digit. This means that the decimal will have three digits after the decimal point.
03

Writing the Number

The phrase "nine hundred forty-seven" indicates the digits that will be to the right of the decimal point. Therefore, we write the number as 0.947, where 947 is the number from the phrase and '0.' signifies the whole number is zero.

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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 dealing with decimal fractions, understanding place value is crucial. Place value tells us where each digit in a number is situated and what it represents. In the decimal system, each position or "place" is worth ten times more than the place to its right.
In a decimal number, the place values to the right of the decimal point are: tenths, hundredths, thousandths, etc.
  • The first digit after the decimal point is in the tenths place.
  • The second digit is in the hundredths place.
  • The third digit is in the thousandths place.

For example, in the number 0.947, 9 is in the tenths place, 4 is in the hundredths place, and 7 is in the thousandths place. Understanding place value helps us read and write decimal numbers correctly, especially when converting from a verbal description to a numerical format.
Writing Decimals From Words
Writing decimals from verbal descriptions follows a simple process once place value is understood. Let鈥檚 consider an example: the phrase "nine hundred forty-seven thousandths."
This phrase means that the number 947 is to be placed starting right after the decimal point, as we are dealing with "thousandths." Therefore, the decimal is written as 0.947.
  • The whole number part is zero, indicated by '0.'
  • The digits 947 follow the decimal point as "thousandths."

This way of writing decimals helps represent parts of a whole less than one, precise to the described level of thousandths. It's important to listen closely to the terms used, like tenths, hundredths, or thousandths, to correctly place your number after the decimal point.
Converting Numbers Between Formats
Number conversion between formats, such as from words to decimals, involves identifying both the digits and their positions.
Given a number described verbally, you identify the digits and the specified place value to convert it to a numerical format.
  • First, listen for the number of digits and their order.
  • Next, determine the unit of measure (tenths, hundredths, etc.) mentioned, to find out the position of the digits after the decimal point.
  • Finally, write the whole number as zero if no other whole number is mentioned.

Using the method of conversion ensures that you correctly interpret and represent any decimal number, whether you are reading it aloud or writing it. These steps make transforming numbers from words to decimals straightforward and precise.

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Most popular questions from this chapter

Convert each fraction to a decimal. Round to five decimal places. \(\frac{4}{9}\)

Find the decimal representation of each quotient. \(8,162.41 \div 10\)

Find the following sums and differences. \(14.987-5.341\)

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

Carry out each division until the repeating pattern is determined. If a repeating pattern is not apparent, round the quotient to three decimal places. \(1 \div 7\)
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