Problem 5 In the following exercises, name... [FREE SOLUTION]

91影视

Prealgebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2016 Edition

Chapter 5: Problem 5

In the following exercises, name each decimal. $$8.71$$

Short Answer

Expert verified

Eight and seventy-one hundredths

Step by step solution

Identify the integer part

Look at the number to the left of the decimal point. Here, the integer part is 8.

Identify the fractional part

Look at the number to the right of the decimal point. Here, the fractional part is 71.

Name the decimal

Combine the integer part with the fractional part, reading the fractional part as a whole number followed by its place value. The number 8.71 is read as 'eight and seventy-one hundredths.'

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Key Concepts

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

Decimal Notation

Decimal notation is a way to write numbers that include a whole number part and a fractional part, separated by a decimal point. In the exercise, we worked with the number 8.71.

The decimal point is crucial as it marks the division between the whole number on the left and the fraction on the right. For example, in 8.71, '8' is the whole number part, and '.71' represents the fractional part.

Decimals can show very precise values, making them useful in many everyday contexts like money, measurements, and statistics.

Place Value

Understanding place value is essential when working with decimals. Each digit in a decimal has a specific value based on its position.
For example, in the number 8.71:

The '8' is in the 'ones' place, meaning it is worth 8 ones or simply 8.
The '7' is in the 'tenths' place, meaning it represents seven parts out of ten or 0.7.
The '1' is in the 'hundredths' place, meaning it represents one part out of a hundred or 0.01.

When naming a decimal, this understanding helps you correctly read the number according to its value in each place. The right value at each place helps to accurately portray the whole number.

Reading Decimals

Reading decimals involves saying the whole number part first, followed by 'and,' then saying the fractional part as a whole number, followed by its place value.

For example, the number 8.71 is read as 'eight and seventy-one hundredths.'
Notice how 'seventy-one' is read as a whole number but is placed in the 'hundredths' position. This tells us exactly how many parts out of 100 are there.

To practice, try reading these:

3.45 is 'three and forty-five hundredths.'
0.89 is 'zero and eighty-nine hundredths.'
15.03 is 'fifteen and three hundredths.'

Reading decimals correctly ensures clear and accurate communication, especially in important situations like scientific measurements, financial transactions, and data reporting.

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91影视

In the following exercises, name each decimal. $$8.71$$

Short Answer

Step by step solution

Identify the integer part

Identify the fractional part

Name the decimal

Key Concepts

Decimal Notation

Place Value

Reading Decimals

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