Problem 47 - Fundamentals of Mathematics

Question

For the following 10 problems, write the fractions using words. \(\frac{1}{500.000}\)

Step-by-Step Solution

Answer

One five hundred thousandth.

Step 1: Identify the Numerator

The numerator of the fraction \(\frac{1}{500,000}\) is 1. In words, this is written as 'one.'

Step 2: Identify the Denominator

The denominator of the fraction \(\frac{1}{500,000}\) is 500,000. In words, this is written as 'five hundred thousand.'

Step 3: Combine the Fraction Components in Words

Combine the words for the numerator and the denominator to express the fraction in words. \(\frac{1}{500,000}\) is written in words as 'one five hundred thousandth.'

Key Concepts

Numerator Identification

In a fraction, the numerator is the number found at the top. It indicates how many parts of the whole there are. For example, in the fraction \( \frac{1}{500,000} \), the numerator is 1. This means that we are discussing 1 part out of 500,000 parts in total.

Recognizing the numerator is essential for understanding what portion of the whole you are considering. In words, we would write the number 1 as "one." It's crucial to correctly identify the numerator because it directly expresses the quantity of interest, helping you understand the fraction fully.

Denominator Identification

The denominator is the number located at the bottom of a fraction. It signifies into how many equal parts the whole is divided. For the fraction \( \frac{1}{500,000} \), the denominator is 500,000. Therefore, the whole is sectioned into 500,000 equal parts.

Understanding the denominator is vital for grasping the scale or size of each part in the fraction. In words, the number 500,000 is written as "five hundred thousand." Correct denominator identification ensures you comprehend how fine or coarse the division of the whole is, reinforcing a clear picture of the fraction's magnitude.

Fraction Expression in Words

Expressing fractions in words involves combining the verbal forms of the numerator and the denominator. For \( \frac{1}{500,000} \), this process starts with the words "one" for the numerator and "five hundred thousand" for the denominator.

For complete expression, fractions are typically stated as "numerator + denominator's ordinal form." Hence, \( \frac{1}{500,000} \) is articulated as "one five hundred thousandth."

• The numerator stays as a cardinal number, while the denominator changes to its ordinal form.
• This format emphasizes the fraction's role as a specific part of a whole, making it easier to convey and understand its meaning.

Comprehending how to phrase fractions in words is crucial for both verbal and written communication, ensuring clarity in sharing mathematical ideas.