Problem 11 - Fundamentals of Mathematics

Question

Write the following using words. \(\frac{1}{10}\)

Step-by-Step Solution

Answer

One-tenth.

Step 1: Identify the Numerator

The numerator is the number at the top of the fraction. In this case, the numerator is \(1\).

Step 2: Identify the Denominator

The denominator is the number at the bottom of the fraction. In this case, the denominator is \(10\).

Step 3: Use Fraction Terms

\(\frac{1}{10}\) is known as 'one-tenth'. It is the way to express the fraction in words, where 'one' comes from the numerator, and 'tenth' refers to the denominator.

Key Concepts

Numerator

In the world of fractions, the numerator is the top number. It tells us how many parts of the whole we have. Imagine you have a pizza sliced into 10 pieces. If you have 1 slice, your numerator is 1. It indicates just a single slice out of the entire pizza. The numerator thus represents a portion or a specific count of something.

• Presents the specific parts we are interested in.
• Always written above the fraction line, showing its importance in the fraction format.

In the fraction \( \frac{1}{10} \), '1' is the numerator, expressing one part of a ten-part whole.

Denominator

The denominator in a fraction sits below the line and acts as the name tag for the parts of a whole. It tells us into how many equal parts something is divided. Consider that pizza divided into 10 equal slices. The number 10 indicates the total slices forming the whole pizza. That's your denominator. It tells you that each slice represents a tenth of the pizza.

• Names the total number of parts present in the whole.
• Placed below the fraction line, marking its foundational role.

In our fraction example, \( \frac{1}{10} \), '10' is the denominator, breaking the whole into ten equal parts.

Fraction Terms

The language we use for fractions allows us to transform numbers into words and vice versa. These terms help in writing and speaking fractions naturally. In the fraction \( \frac{1}{10} \), each part gets a specific name. The numeral '1' is articulated as 'one', and '10' as 'ten' or 'tenth'. Consequently, \( \frac{1}{10} \) is read as 'one-tenth'. This phrase captures the essence of the fraction in words, blending the function of both numerator and denominator.

• Words transform numeric fractions into understandable language.
• "One-tenth" merges the numerator and denominator into a seamless expression.

Using fraction terms ensures clarity when communicating quantities or performing calculations.