Problem 7 - Prealgebra

Question

Write out the name of each number in words. $$52.7$$

Step-by-Step Solution

Answer

The number in words is fifty-two point seven.

Step 1: Breaking Down the Whole Number

First, we interpret and write the whole number part of the decimal, which is '52.' Since this is a familiar number, we can write it in words as 'fifty-two.'

Step 2: Understanding the Decimal Point

The decimal point separates the whole number from the fractional part in numerical expressions. In words, we typically refer to the decimal point as 'point' when reading the number aloud.

Step 3: Writing the Fractional Part

The number to the right of the decimal point is '7.' In decimals, we read the digits of the fractional part individually. Here, simply write the digit '7' as 'seven.'

Step 4: Combining Everything Together

Now, we combine all the parts of the number. Start with 'fifty-two,' add the word 'point' for the decimal point, followed by 'seven' for the fractional part. Thus, the number in words is 'fifty-two point seven.'

Key Concepts

Decimals

Decimals are numbers with a fractional part that is less than a whole. These numbers are written with a decimal point separating the whole number and its fractional part. This system is a crucial component of the numerical landscape, helping to convey precise values between whole numbers.
When reading decimals out loud, a simple rule is followed: the decimal point is referred to as 'point.' This helps to clearly separate the whole number from the subsequent digits. For example, in the decimal 52.7:

• "52" is the whole number part,
• "." is the decimal point, verbally said as 'point', and
• "7" follows as the fractional part.

Decimals allow us to express values more accurately, which is essential in many fields like navigation, finance, and science.

Number Names

Numbers can be represented in both numeric forms and through words. Writing numbers in words helps to enhance comprehension and is particularly useful in contexts where clarity is crucial. It also emphasizes the distinction between different parts of a number, such as whole numbers and decimals.
The way numbers are written in words is straightforward. The whole number is said as it is, utilizing standard English number conventions. For example, "52" is written as 'fifty-two.' Then, a decimal point is articulated as 'point,' followed by the recitation of each digit to the right of it.
Using number names can prevent misunderstandings, especially when dealing with decimals or large numbers, ensuring that the intended value is clear whether spoken or written.

Fractional Part

The fractional part in a decimal number is the component that appears to the right of the decimal point. It represents values less than one and is key in expressing precise quantities between whole numbers.

• In the decimal 52.7, the digit "7" is the fractional part.
• This part is read by pronouncing each digit independently.

When writing in words, it's not lumped together as a single word like the whole number part. Instead, we say each individual digit following the decimal point, reinforcing the fact that this part is interpreted separately from the whole number. This ensures each fraction is distinct and accurately represented.
Understanding and accurately stating the fractional part is essential for clarity and precision in communication.