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Chapter 5: Problem 7

In the following exercises, name each decimal. $$0.002$$

Short Answer

Expert verified
two thousandths

Step by step solution

01

Identify the place value of the decimal

Examine the decimal number 0.002 and determine the place value of the last digit (2). The first digit after the decimal point is the tenths place, the next is the hundredths place, and the third digit is the thousandths place. So, the last digit (2) is in the thousandths place.
02

Write the number in words

Since the last digit (2) is in the thousandths place, express 0.002 in words as 'two thousandths'.

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Key Concepts

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

Writing Decimals in Words
Writing decimals in words might seem tricky at first, but it's quite simple with some practice.
Let's look at the number 0.002 and how to write it in words:
The key part is to identify the place value of the last digit.
In this case, the last digit 2 is in the thousandths place.
This means we read the number as 'two thousandths'.
For other decimals:
  • 0.1 becomes 'one tenth'
  • 0.25 becomes 'twenty-five hundredths'
  • 0.375 becomes 'three hundred seventy-five thousandths'
Practice identifying the place value of the last digit and then writing it in words to become comfortable with the process.
Understanding Decimal Places
Understanding the place value of decimal numbers is crucial.
Let's break down the decimal number places:
  • The first digit to the right of the decimal point is the tenths place.
  • The second digit is the hundredths place.
  • The third digit is the thousandths place, and so on.
For example, in 0.002:
  • 0 is in the tenths place.
  • 0 is in the hundredths place.
  • 2 is in the thousandths place.
Knowing this, it becomes easier to understand and work with decimal numbers.
It also simplifies the process of comparing, rounding, and performing operations with them.
Reading Decimal Numbers
Reading decimal numbers correctly is fundamental.
Start from the leftmost digit and move to the right:
  • Begin with the word 'zero' for the whole number part if it's zero.
  • Then read the decimal point as 'and' or simply as 'point'.
  • Finally, read each digit individually, determining their place value if necessary.
For instance, to read 0.002:
  • Begin with 'zero'.
  • Read the decimal point as 'point'.
  • Then read the number as 'zero, zero, two'.
  • Or state the whole number directly as 'two thousandths'.
Practice reading different decimals to gain fluency and confidence.

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