In the critical lesson, friend were presented to decimal numbers. Decimal places change by a element of 10. Because that example, let"s look in ~ the number "3247.8956" below.

You are watching: One hundred fifty eight thousandths in decimal form

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 have the right to have a whole-number component and a fractional part.

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

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

Example 1: create each blended 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 phrase as a combined number and also 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 hundreds 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 hundreds twenty-nine thousand and also eighty-one millionths
*
 229,000.000081

Look in ~ the mixed numbers in the examples above. Friend will notification that the denominator the the fractional part is a element of 10, making that is easy to transform to a decimal. Let"s look at some examples in i m sorry the denominator is not a factor of 10.

Example 3: Write each blended number together a decimal.

Analysis: A fraction bar tells us to divide. In stimulate to perform this, us must convert or readjust the fractional part of each blended number to decimal digits. Us will execute this by separating the numerator of each fraction by the denominator.

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

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Example 4: When asked to write two hundreds thousandths as a decimal, three students provided three different answers as shown below. I m sorry student had actually the correct answer?

Student 1: 200,000.

Student 2: 0.200

Student 3: 0.00002

Analysis: Let"s use our place value graph to aid us analysis this problem.

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

Let"s look in ~ the expanded kind of every decimal to help us discover the correct answer.

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

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

As you can see, decimals are named by the location of the last digit. Notification that in example 4, the answer provided by student 3 was 2 hundred-thousandths. This phrase has a hyphen in it. The hyphen is vital piece of info that helps united state read and also write decimals. Let"s look at some more examples.

Example 5: Write each phrase as a decimal.

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

Example 6: write each expression as a decimal.

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

Example 7: write each expression as a decimal.

phraseanalysisfractiondecimal
seven hundred 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 create phrases as decimals. Some of the words in the phrase suggest the place-value positions, and also other native in the phrase suggest the number to be used. Currently let"s look in ~ some instances in which we write these type of decimals utilizing words.

Example 8: create each decimal using words.

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

Example 9: create each decimal using words.

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

 

Example 10: Write the following decimal making use of words. Role your computer mouse over each digit because that help.
  
 
*

 

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

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

Summary: You learned exactly how to read and write decimal in this lesson. Once writing a mixed number together a decimal, the fractional component must be convert to decimal digits. Decimals are called by the location of the critical digit. The hyphen is an essential indicator when reading and also writing decimals. Once writing a expression as a decimal, some of the words show the place-value positions, and other words suggest the digits to it is in used.

Exercises

In practice 1 and also 2, click when in response BOX and form in your answer; then click ENTER. After you click ENTER, a blog post will appear in the results BOX to suggest whether her answer is correct or incorrect. To start over, click CLEAR.

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prize BOX:   

results BOX: 

*
prize BOX:   

outcomes BOX: 

In exercises 3 with 5, check out each inquiry below. Choose your prize by clicking its button. Feedback to her answer is listed in the outcomes BOX. If you do a mistake, pick a different button.
3.Which that the following is equal to 7 hundred five thousand and eighty-nine ten-thousandths?
 700.005.089705,000.089705,000.0089705,000.00089

RESULTS BOX: 

4.Which the the adhering to is equal 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.

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RESULTS BOX: 

5.Which the the following is same to five hundred-thousandths?
 500,0000.5000.00050.00005

RESULTS BOX: