Problem 12 - Fundamentals of Mathematics

Question

Write the following using words. \(\frac{3}{250}\)

Step-by-Step Solution

Answer

Three over two hundred fifty.

Step 1: Understand the Fraction

The given fraction is \(\frac{3}{250}\). In words, a fraction is typically written as "numerator over denominator." For a simple fraction like \(\frac{a}{b}\), it is read as "a over b."

Step 2: Convert the Numbers to Words

First, convert the numbers in the fraction to words. The numerator is 3, which is written as "three." The denominator is 250, which is written as "two hundred fifty."

Step 3: Write the Fraction in Words

Combine the words from Step 2 to write the fraction in full. \(\frac{3}{250}\) is read as "three over two hundred fifty."

Key Concepts

Understanding the Numerator

In a fraction, the numerator is the top number. It is a vital component that indicates how many parts of a whole we are considering. For instance, in the fraction \( \frac{3}{250} \), the numerator is the number **3**. This means we have **3** parts out of a total, which is indicated by the denominator below. You can think of the numerator as the 'part-counting' number, where it directly interacts with whatever the fraction is representing, be it objects, time, or any measurable quantity.

• Acts as the active part of the fraction.
• Always placed above the line or slash in the fraction.

Numerators are straightforward to handle; you simply read and write them as regular whole numbers, such as writing 3 as “three.” Others may require you to understand larger whole numbers if they increase much beyond single digits, but the concept remains the same.

Role of the Denominator

The denominator is equally important as it forms the bottom part of the fraction, such as **250** in \( \frac{3}{250} \). It tells us into how many equal parts the whole is divided. If the numerator is our counting part, the denominator serves as the defining total or division benchmark.

• Denominators are described in whole numbers as well.
• They help position the value of the numerator in context.

In practical terms, denominators are often larger numbers, which describe larger sets or units. Writing the denominator, "250," as "two hundred fifty" involves understanding place value in numbers. This representation helps in translating what might seem complicated into language, offering clarity when dealing with everyday uses, like recipes or portions.

Converting Numbers to Words

Turning numbers into words is a useful skill. This is especially true for numerators and denominators in fractions, where reading them helps solidify comprehension. Treat each number separately: in \( \frac{3}{250} \), "3" becomes "three," and "250" morphs into "two hundred fifty."

• Make sure to split the number into easily manageable parts.
• Numbers like 250 break down into hundreds, tens, and units.

Like a puzzle, once each piece is put into words, combine them to describe the entire fraction: "three over two hundred fifty." This sequential process makes converting numbers to words far less daunting and teaches a skill useful both in math and everyday literacy.