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Chapter 5: Problem 26

Write the word name for each decimal fraction. $$\frac{19}{100}$$

Short Answer

Expert verified
Nineteen hundredths

Step by step solution

01

Convert Fraction to Decimal

First, convert the fraction \(\frac{19}{100}\) into its decimal form. To do this, divide the numerator (19) by the denominator (100), which gives 0.19.
02

Understand Place Value

Identify the place value of each digit in 0.19. The '1' is in the tenths place, and the '9' is in the hundredths place.
03

Formulate the Word Name

Combine the values into a word name: 'nineteen hundredths'. This is because the 19 is positioned in the hundredths place.

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Key Concepts

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

Place Value
A key part of understanding decimal fractions is grasping the concept of place value. Place value determines the value of a digit based on its position within a number.
In the number 0.19, each digit has a certain place value:
The digit '1' is in the tenths place.
The digit '9' is in the hundredths place.
Knowing place values helps when converting fractions to decimals and understanding their word names. Always remember, the first digit to the right of the decimal point is the tenths place, the second digit is the hundredths place, and so forth.
Convert Fractions to Decimals
To convert a fraction to a decimal, divide the numerator by the denominator. This process simplifies understanding and working with fractions.
Let's take the example of \(\frac{19}{100}\):
* The numerator is 19.
* The denominator is 100.
We perform the division 19 梅 100, resulting in 0.19.
This is a quick and effective way to change fractions into a more manageable decimal form.
Word Names for Decimals
Once you have the decimal, the next step is to write its word name. This requires combining place value knowledge with the numeric value.
For the decimal 0.19:
* The digit '1' is in the tenths place, and the digit '9' is in the hundredths place.
* Combine them to form the word name.
Thus, 0.19 is read as 'nineteen hundredths'.
This method works for any decimal 鈥� just know the place values and spell out the number accordingly.

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