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Chapter 1: Problem 541

Name each decimal. $$ 8.71 $$

Short Answer

Expert verified
Eight point seven one

Step by step solution

01

Understand Decimal Notation

Decimals are a way to represent numbers that are not whole. The decimal point separates the whole number part from the fractional part.
02

Identify Each Digit

The number 8.71 has three digits: 8 (whole number part), 7 (tenths place), and 1 (hundredths place).
03

Read the Whole Number Part

The whole number part is 8. This part of the number is simply read as 'eight'.
04

Read the Decimal Part

The decimal point is read as 'point'. The digits after the decimal point are read individually. Hence, the 7 is 'seven' and the 1 is 'one'.
05

Combine All Parts

Combine the whole number part with the fractional part. The number 8.71 is read as 'eight point seven one'.

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Key Concepts

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

reading decimals
Decimals can sometimes seem tricky at first, but understanding how to read them is quite simple. Decimals are used to show values that are not whole numbers. They help us express amounts that include both a whole number and a part of a whole number.
To read a decimal:
  • First, read the whole number part, which is to the left of the decimal point.
  • Then, say 'point' for the decimal point itself.
  • Finally, read the digits to the right of the decimal point one by one.
For example, the number 8.71 is read as 'eight point seven one'. This method applies to any decimal you might encounter.
whole number and fractional parts
Decimals are made up of two main parts: the whole number part and the fractional part. The whole number part is on the left side of the decimal point. It is a complete number just like any number you are used to using.
The fractional part comes after the decimal point. It represents a part of a whole number and can have one or more digits. Each digit in the fractional part has a specific place value, which we will discuss next. For instance, in the decimal 8.71:
  • 8 is the whole number part
  • 71 are the fractional part digits
Understanding this separation is key to mastering decimals.
place value in decimals
Place value is crucial when working with decimals. Each digit after the decimal point has a different place value, which shows its size relative to 1.
The first digit to the immediate right of the decimal is in the tenths place. The next digit is in the hundredths place, then thousandths, and so on.
In the decimal 8.71:
  • 7 is in the tenths place
  • 1 is in the hundredths place
Understanding place value helps you know the exact size of the number parts and how they contribute to the overall value of the number.

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