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Chapter 5: Problem 25

Write the word name for each decimal fraction. $$\frac{23}{100}$$

Short Answer

Expert verified
Twenty-three hundredths

Step by step solution

01

- Understand Decimal Fraction

A decimal fraction is a fraction where the denominator is a power of 10. In this case, \(\frac{23}{100}\) means the denominator is 100.
02

- Convert to Decimal

Convert the fraction \(\frac{23}{100}\) to a decimal number. \(\frac{23}{100} = 0.23\)
03

- Write the Decimal in Words

Write the decimal number 0.23 in words. This is read as 'twenty-three hundredths.'

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Key Concepts

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

Fractions
Fractions are a way to represent parts of a whole. A fraction consists of two numbers: the numerator and the denominator.
  • The numerator is the top number and it represents how many parts we have.
  • The denominator is the bottom number and it tells us how many equal parts the whole is divided into.
For example, in the fraction \( \frac{23}{100} \), 23 is the numerator and 100 is the denominator.
This fraction means we have 23 parts out of 100 equal parts.
Decimal Conversion
Decimal conversion is the process of changing a fraction into a decimal. To convert a fraction to a decimal, divide the numerator by the denominator.
For the fraction \( \frac{23}{100} \), we divide 23 by 100:
\[ \frac{23}{100} = 0.23 \]
This means that \( \frac{23}{100} \) is equal to 0.23 in decimal form. Decimals provide an easy way to represent fractions, especially when dealing with powers of 10.
Place Value
Place value is crucial for understanding decimals. Each digit in a decimal number has a specific place value that depends on its position relative to the decimal point.
For the decimal number 0.23:
  • The digit 2 is in the tenths place, meaning 2/10 or 0.2.
  • The digit 3 is in the hundredths place, meaning 3/100 or 0.03.
Together, 2 tenths and 3 hundredths make up 0.23, which can also be written in words as 'twenty-three hundredths.'
This understanding of place value allows us to read and write decimals accurately.

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