Problem 3 Read each decimal by writing it ... [FREE SOLUTION]

Chapter 6: Problem 3

Read each decimal by writing it in words. 7.2

Short Answer

Expert verified

"Seven and two-tenths."

Step by step solution

Identify the Whole Number

The first step is to identify the part of the decimal number that is located to the left of the decimal point, which is the whole number part. In this case, the whole number is 7.

Identify the Fractional Part

Next, we will look at the part of the decimal to the right of the decimal point. This part represents a fraction. Here, the number is 2, located in the tenths place, which means we have two-tenths.

Combine in Words

Combine the whole number and fractional part into words. The decimal number 7.2 is read as "seven and two-tenths". The word "and" is used to denote the decimal point.

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Key Concepts

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

Whole Number Identification

Understanding whole numbers is straightforward yet crucial when dealing with decimal numbers. The whole number part is always to the left of the decimal point. It represents values that are completely **whole**, without any fractional component. In the decimal number 7.2, the digit 7 lies to the left of the decimal point, indicating it is the whole number.

Always locate this part first for easier reading of decimal numbers.
This whole number signifies complete units, such as 7 cars, 7 apples, or 7 dollars.

This basic identification forms the groundwork for accurately interpreting the entire decimal.

Fractional Part Identification

After identifying the whole number part, shift your focus to the right of the decimal point. This is where you will find the fractional part. This part acts as a fragment of a whole number. In the decimal 7.2, the number 2 is positioned to the right.

The place value informs you of the specific fraction. In this case, 2 is in the tenths place.
This means the fractional part represents two-tenths, or \( \frac{2}{10} \).

Recognizing this fractional component is essential for complete understanding and articulation of a decimal number.

Decimal Place Value

The decimal place value system is a method that assigns value to digits based on their position relative to the decimal point. It is crucial for decoding and comprehending decimal numbers. In our example, we start reading immediately after the decimal point:

The first digit immediately to the right of the decimal point is in the tenths place.
If there was another digit, it would be in the hundredths place, and so on.

For 7.2, the 2 falls into the tenths place, giving it the value of \( \frac{2}{10} \) or two-tenths. Understanding this structure allows you to correctly and efficiently read any decimal number, constructing a bridge between whole numbers and their fractional counterparts.

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91影视

Read each decimal by writing it in words. 7.2

Short Answer

Step by step solution

Identify the Whole Number

Identify the Fractional Part

Combine in Words

Key Concepts

Whole Number Identification

Fractional Part Identification

Decimal Place Value

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