In the critical lesson, friend were presented to decimal numbers. Decimal places readjust by a element of 10. For example, let"s look at the number "3247.8956" below.

You are watching: Twenty three hundredths as a decimal

3 x 1000thousands
2 x 100hundreds
4 x 10tens
7 x 1ones
8 x 0.1tenths
9 x 0.01hundredths
5 x 0.001thousandths
6 x 0.0001ten-thousandths

A decimal number deserve to have a whole-number part and a fountain part.

Mixed Number- Expanded kind -Decimal Form
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= (5 x 10) + ( 7 x 1) + (4 x 
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) + (9 x 
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)
= 57.49
 - whole-number part -- fractional part - 

In this lesson, you will learn how to read and write decimals. You might use our Place Value and Decimals Chart (PDF) as a visual reference for the examples presented in this lesson.

Example 1: create each mixed number together a decimal.

Mixed NumberDecimal
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52.3000
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973.4100
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31.2670
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1842.0056

Example 2: write each expression as a blended number and as a decimal.

phrasemixed numberdecimal
five and also three tenths
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5.300000
forty-nine and also one hundredth
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49.010000
two hundreds sixteen and two hundreds thirty-one thousandths
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216.231000
nine thousand, ten and three hundred fifty-nine ten-thousandths
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9,010.035900
seventy-six thousand, fifty-three and forty-seven hundred-thousandths
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76,053.000470
two hundred twenty-nine thousand and eighty-one millionths
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 229,000.000081

Look at the blended numbers in the instances above. You will an alert that the denominator of the fractional part is a variable of 10, making it is simple to convert to a decimal. Let"s look in ~ some examples in i m sorry the denominator is not a element of 10.

Example 3: Write each blended number together a decimal.

Analysis: A fraction bar tells us to divide. In bespeak to do this, we must convert or change the fractional part of each blended number to decimal digits. Us will execute this by separating the numerator of each portion by that is denominator.

Mixed NumberFractional PartDecimal
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*
6.9000
*
*
9.7200
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*
167.1250
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149.5625
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Alternate Method: It need to be provided that some of the fractions above could have been convert to decimal using equivalent fractions. Because that example:

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Example 4: When asked to write two hundred thousandths as a decimal, three students gave three different answers as shown below. I beg your pardon student had the exactly answer?

Student 1: 200,000.

Student 2: 0.200

Student 3: 0.00002

Analysis: Let"s usage our location value chart to aid us analysis this problem.

 PLACE VALUE and DECIMALS
 
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*
 
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*
 
*
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*
 
*
*
 
 
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Student 1 200000.      
Student 2      0.200   
Student 3      0.0000 2 
 

Let"s look at the expanded kind of every decimal to aid us discover the correct answer.

StudentNumberFractionExpanded FormPhrase
1200,000.00000 2 x 100,000two hundred thousand
20.20000
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*
two hundred thousandths
30.00002
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two hundred-thousandths
 

Answer: Thus, two hundred thousandths is 0.200, so college student 2 had the exactly answer.

As you can see, decimal are called by the place of the critical digit. An alert that in instance 4, the answer given by student 3 was 2 hundred-thousandths. This phrase has actually a hyphen in it. The hyphen is critical piece of information that helps united state read and also write decimals. Let"s look in ~ some more examples.

Example 5: Write each phrase as a decimal.

phraseanalysisfractiondecimal
three hundred ten thousandths 310 thousandths
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0.310
three hundred ten-thousandths 300 ten-thousandths
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0.0300

Example 6: compose each expression as a decimal.

phraseanalysisfractiondecimal
eight hundreds thousandths 800 thousandths
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0.800
eight hundred-thousandths 8 hundred-thousandths
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0.00008

Example 7: compose each phrase as a decimal.

phraseanalysisfractiondecimal
seven hundreds millionths 700 millionths
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0.000700
seven hundred-millionths 7 hundred-millionths
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0.00000007

In instances 5 through 7, us were inquiry to write phrases as decimals. Several of the indigenous in the phrase indicate the place-value positions, and other words in the phrase suggest the digits to be used. Currently let"s look in ~ some instances in which we compose these type of decimals using words.

Example 8: write each decimal utilizing words.

decimalanalysisphrase
0.110 110 thousandthsone hundreds ten thousandths
0.0100 100 ten-thousandthsone hundreds ten-thousandths

Example 9: write each decimal making use of words.

decimalanalysisphrase
0.400400 thousandthsfour hundreds thousandths
0.000044 hundred-thousandthsfour hundred-thousandths

 

Example 10: Write the adhering to decimal utilizing words. Roll your mouse over each digit because that help.
  
 
*

 

Answer: The decimal 1,729,405.008365 is created as:

one million, seven hundred twenty-nine thousand, four hundred five and also eight thousand, 3 hundred sixty-five millionths

Summary: You learned how to read and write decimals in this lesson. When writing a blended number as a decimal, the fractional part must be convert to decimal digits. Decimals are named by the place of the critical digit. The hyphen is an essential indicator when reading and also writing decimals. As soon as writing a expression as a decimal, some of the words show the place-value positions, and other words indicate the digits to it is in used.

Exercises

In practice 1 and 2, click once in response BOX and type in your answer; then click ENTER. After friend click ENTER, a blog post will show up in the outcomes BOX to suggest whether her answer is correct or incorrect. To start over, click CLEAR.

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price BOX:   

results BOX: 

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price BOX:   

outcomes BOX: 

In exercises 3 through 5, review each concern below. Select your price by clicking its button. Feedback to your answer is provided in the outcomes BOX. If you do a mistake, choose a different button.
3.Which the the following is equal to 7 hundred 5 thousand and eighty-nine ten-thousandths?
 700.005.089705,000.089705,000.0089705,000.00089

RESULTS BOX: 

4.Which of the complying with is same to 9,842.1039?
 nine thousand, eight hundred, fourty two and also one thousand, thirty-nine millionthsnine thousand, eight hundred, forty-two and also one thousand, thirty-nine ten-thousandthsnine thousand, eight hundred, forty-two and also one thousand, thirty-nine thousandthsNone that the above.

See more: How Many Potatoes Make A Pound ? How Many Potatoes In A Pound

RESULTS BOX: 

5.Which that the following is equal to 5 hundred-thousandths?
 500,0000.5000.00050.00005

RESULTS BOX: