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Chapter 5: Problem 8

In the following exercises, name each decimal. $$0.005$$

Short Answer

Expert verified
Five thousandths

Step by step solution

01

Identify the Position of Digits

Determine the position of each digit in the decimal. The first digit '0' is in the tenths place, the second '0' is in the hundredths place, and the digit '5' is in the thousandths place.
02

Identify the Name of the Decimal

Based on the position of the last digit '5', which is in the thousandths place, recognize that the decimal is read as 'five thousandths.'

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Key Concepts

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

decimal place value
When we talk about decimal place value, we refer to the position of a digit within a decimal number. Each digit in a decimal number has a specific place that determines its value.
Here's how it breaks down:
  • The first digit to the right of the decimal point is in the tenths place.
  • The second digit is in the hundredths place.
  • The third digit is in the thousandths place.
Understanding decimal place value is crucial because it tells us how much each digit represents in the number. For example, in the decimal 0.005, the '5' is in the thousandths place, which means it is five thousandths, or 5/1000.
reading decimals
Reading decimals can seem tricky at first, but once you understand the place value, it becomes much more manageable. When reading a decimal:
  • Start from the leftmost non-zero digit.
  • Read the number as a whole.
  • Say the place value of the last digit.
For instance, with 0.005:
  • Identify the first non-zero digit, which is '5'.
  • Since '5' is in the third place after the decimal, it is in the thousandths place.
  • So, you read it as 'five thousandths.'
Knowing how to read decimals correctly ensures you understand the value of the number.
thousandths
The thousandths place is the third digit to the right of the decimal point. In a decimal, each place value is a fraction of ten.
The tenths place is 1/10, the hundredths place is 1/100, and the thousandths place is 1/1000.
For example:
  • 0.1 is one-tenth.
  • 0.01 is one-hundredth.
  • 0.001 is one-thousandth.
Hence, when you see a decimal like 0.005, the '5' is in the thousandths place. This means it represents 5/1000. Recognizing and understanding thousandths is important for grasping the finer details of smaller quantities in decimals.

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