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Chapter 5: Problem 6

In the following exercises, name each decimal. $$2.64$$

Short Answer

Expert verified
Two and sixty-four hundredths

Step by step solution

01

Understand Decimal Place Value

The first step is to understand the place value of each digit in the number. In the number 2.64, the digit 2 is in the units place, the digit 6 is in the tenths place, and the digit 4 is in the hundredths place.
02

Identify the Decimal Part

The decimal portion of the number (0.64) can be separated and read as 'sixty-four hundredths' because the digit 4 is in the hundredths place.
03

Combine Whole Number and Decimal Part

Combine the whole number part with the decimal part. The whole number part is 2. Thus, the number 2.64 can be read as 'two and sixty-four hundredths'.

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Key Concepts

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

decimal notation
Decimals are a way of representing numbers that are not whole. They use a decimal point to separate the whole number part from the fractional part.
For example, in the number 2.64, the decimal point splits the number into 2 (whole) and 0.64 (fractional).
Each digit after the decimal point represents a fraction based on its position.
Understanding decimal notation helps us easily work with numbers that are less than one.
For instance:
  • In 0.1, the 1 is in the tenths place.
  • In 0.01, the 1 is in the hundredths place.
By using decimal notation, we can write and read fractions more conveniently.
place value
Place value is crucial in understanding decimals. Each digit in a decimal number has a specific value based on its position relative to the decimal point.
Let's break this down using 2.64:
  • The digit 2 is in the units (or ones) place.
  • The digit 6 is in the tenths place (immediately after the decimal point).
  • The digit 4 is in the hundredths place (second position after the decimal point).
Knowing the place value helps us know the value of each digit in the decimal.
For example, the digit 6 in 2.64 is in the tenths place, meaning it represents 6 tenths or 0.6.
This systematic method is essential for reading and understanding decimal numbers.
reading decimals
Reading decimals involves combining the whole number part and the decimal part. First, read the whole number part as usual.
For the decimal part, read it as individual digits and state its place value. Using 2.64, you would:
  • Read the whole number: 'Two'
  • Read the decimal point as 'and'
  • Read the decimal part: 'sixty-four hundredths'
So, 2.64 is read as 'two and sixty-four hundredths'.
This method ensures clarity and accuracy in understanding the value of the decimal number.
Always remember, the concept of place value is the backbone when reading decimals.

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