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Chapter 5: Problem 537

In the following exercises, name each decimal. $$ 5.24 $$

Short Answer

Expert verified
Five and twenty-four hundredths.

Step by step solution

01

Understanding Place Value

Recognize that place value is the value of a digit based on its position. In the number 5.24, the digit 5 is in the units place, the digit 2 is in the tenths place, and the digit 4 is in the hundredths place.
02

Name Each Component

The digit 5 is in the ones place, so its value is 'five'. The digit 2 is in the tenths place, so its value is 'two tenths'. The digit 4 is in the hundredths place, so its value is 'four hundredths'.
03

Combine the Names

Combine the names from Step 2. The number 5.24 is read as 'five and twenty-four hundredths'.

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Key Concepts

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

Place Value
Understanding place value is crucial in grasping how numbers work. Each digit in a number has a specific value based on its position. For example, in the decimal number 5.24:
  • The digit 5 is in the units place, meaning it represents 5 units or 'five'.
  • The digit 2 is in the tenths place, meaning it represents 2 tenths or 'two tenths'.
  • The digit 4 is in the hundredths place, meaning it represents 4 hundredths or 'four hundredths'.
Place value helps us understand the relative size of digits in different positions. This means that even though the digit 2 is smaller than 5, because it's in the tenths place, it represents a part of a whole, making it significant.
Reading Decimals
Reading decimals correctly is about understanding how to articulate the value of each digit based on its position. When you see a number such as 5.24, follow these simple steps:
  • Identify the whole number part, which is the part before the decimal point. In this case, it's 5.
  • Identify the decimal part, which is the part after the decimal point. Here, it鈥檚 24.
  • Understand that the first digit after the decimal point is in the tenths place and the second digit is in the hundredths place.
Putting it all together, 5.24 is read as 'five and twenty-four hundredths'. The word 'and' is used to indicate the decimal point, and the numbers after the decimal point form a fraction.
Naming Decimals
Naming decimals involves breaking down each digit to understand its specific value and then combining these values into a coherent name. Let's take the example of 5.24 again:
  • Start with the whole number part: 5, which is read as 'five'.
  • Move to the decimal part: 2 in the tenths place is read as 'two tenths', and 4 in the hundredths place is read as 'four hundredths'.
When combined, you get 'five and twenty-four hundredths'. This method allows you to read and name any decimal number accurately, by understanding and stating the place value of each digit. This technique is important in various real-world contexts, like money, measurements, and scientific data.

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