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Chapter 5: Problem 536

In the following exercises, name each decimal. $$ 0.007 $$

Short Answer

Expert verified
Seven thousandths

Step by step solution

01

Identify the Decimal Place

First, identify the position of the last digit in the decimal. In the number 0.007, the last digit (7) is in the thousandths place.
02

Write the Name of the Decimal

Next, write out the decimal as you would say it aloud, including the name of the decimal place. The number 0.007 is read as 'seven thousandths'.

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Key Concepts

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

Decimal Place Value
Understanding decimal place value is the foundation for working with decimals. Decimals are a way to represent parts of a whole number. Each place to the right of the decimal point has a specific value.

The first place to the right of the decimal is the **tenths** place. This is followed by the **hundredths** place, then the **thousandths** place.

So, in the number 0.007:
  • 0 is in the tenths place
  • 0 is in the hundredths place
  • 7 is in the thousandths place
Understanding this helps us know the value and the name of the decimal number.
Reading Decimals
To read decimals, you need to know the place value of each digit. Start by reading the digits as a whole number. Then, say the place value of the last digit.

For example, in 0.007, you first read '7', as if you are reading the whole number 7. Then, you identify that the last digit is in the thousandths place. Hence, you say 'seven thousandths'.

It's simple! Just follow these steps:
  • Read the digits as a whole number.
  • Mention the place value of the last digit.
This method ensures you correctly name any decimal number.
Thousandths Place
The thousandths place is three places to the right of the decimal point.

In the number 0.007, the digit 7 is in the thousandths place. This tells you that it represents 7 parts out of 1000, which can be written as the fraction: \(\frac{7}{1000}\).

Understanding the thousandths place is crucial for correctly identifying and naming decimals. Remember:
  • First digit right of the decimal: tenths
  • Second digit: hundredths
  • Third digit: thousandths
By grasping these basics, you'll have a clear understanding of how to work with and name decimal numbers like a pro!

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