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Chapter 5: Problem 92

Explain how you write 鈥渢hree and nine hundredths鈥� as a decimal.

Short Answer

Expert verified
3.09

Step by step solution

01

Identify the Whole Number Part

The phrase 'three and nine hundredths' contains the whole number part 'three,' which is written as 3.
02

Identify the Fractional Part

The phrase 'nine hundredths' refers to the fraction part of the number. 'Hundredths' indicates that the number is divided by 100. Therefore, 'nine hundredths' is written as 0.09.
03

Combine the Whole Number and Fractional Parts

Combine the whole number part (3) with the fractional part (0.09). When combined, 'three and nine hundredths' is written as 3.09.

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Key Concepts

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

Whole Number
When working on writing decimals, the first thing to identify is the whole number part. In the example 'three and nine hundredths,' the whole number is 'three.'
The whole number is any number without a fraction or decimal part; it stands on its own. It can be found to the left of the decimal point when written in decimal form.
In our example, 'three' is the whole number, and it is written simply as 3.
Fractional Part
The fractional part of a number is the portion that comes after the decimal point. In the case of 'three and nine hundredths,' the phrase 'nine hundredths' represents the fractional part.
Understanding this part of the number is crucial because it shows the portion of the whole number.
  • 'Hundredths' means the number is divided by 100.
  • Therefore, 'nine hundredths' implies 9/100, which can be written as 0.09 in decimal form.
To write it, place the number 9 two places to the right of the decimal point (since we are dealing with hundredths).
Combining Numbers
Lastly, to get the final decimal number, you combine the whole number and the fractional part.
Look at our example 'three and nine hundredths.' We identified that:
  • The whole number part is 3
  • The fractional part is 0.09
To combine these, simply place the whole number and the fractional part together, separated by a decimal point.
Thus, 'three and nine hundredths' becomes 3.09 when written as a decimal.

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