In the last lesson, you were introduced 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: Two and three hundredths 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 fountain part.

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

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

Example 1: write each combined number as a decimal.

Mixed NumberDecimal
*
52.3000
*
973.4100
*
31.2670
*
1842.0056

Example 2: create each expression as a mixed number and as a decimal.

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

Look in ~ the combined numbers in the instances above. Girlfriend will an alert that the denominator the the fractional component is a aspect of 10, making that is basic to convert to a decimal. Let"s look at some examples in i beg your pardon the denominator is not a variable of 10.

Example 3: Write each mixed number as a decimal.

Analysis: A fraction bar tells us to divide. In bespeak to perform this, we must transform or readjust the fractional component of each blended number to decimal digits. Us will carry out this by splitting the numerator of each portion by that denominator.

Mixed NumberFractional PartDecimal
*
*
6.9000
*
*
9.7200
*
*
167.1250
*
*
149.5625
*

Alternate Method: It need to be detailed that several of the fractions over could have actually been convert to decimals using equivalent fractions. Because that example:

*

Example 4: When asked come write two hundreds thousandths as a decimal, three students provided three various 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 ar value chart to assist us analysis this problem.

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

Let"s look at the expanded kind of each decimal to assist us discover the exactly answer.

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

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

As you have the right to see, decimal are named by the location of the last digit. Notification that in instance 4, the answer provided by college student 3 was 2 hundred-thousandths. This phrase has actually a hyphen in it. The hyphen is critical piece of info that helps us read and write decimals. Let"s look at some much more examples.

Example 5: Write each phrase as a decimal.

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

Example 6: create each phrase as a decimal.

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

Example 7: compose each expression as a decimal.

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

In instances 5 with 7, we were request to write phrases together decimals. Several of the indigenous in the phrase suggest the place-value positions, and also other native in the phrase suggest the number to it is in used. Currently let"s look in ~ some instances in i m sorry we write these kinds of decimals utilizing words.

Example 8: compose each decimal using words.

decimalanalysisphrase
0.110 110 thousandthsone hundreds ten thousandths
0.0100 100 ten-thousandthsone hundred 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 adhering to decimal making use of words. Role your computer mouse over every digit for help.
  
 
*

 

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

one million, 7 hundred twenty-nine thousand, 4 hundred five and also eight thousand, three hundred sixty-five millionths

Summary: You learned exactly how to read and also write decimals in this lesson. Once writing a blended number together a decimal, the fractional part must be convert to decimal digits. Decimal are called by the location of the last digit. The hyphen is an essential indicator once reading and also writing decimals. As soon as writing a expression as a decimal, several of the words indicate the place-value positions, and other words indicate the number to be used.

Exercises

In exercises 1 and 2, click as soon as in an answer BOX and form in her answer; climate click ENTER. After girlfriend click ENTER, a article will show up in the results BOX to indicate whether your answer is correct or incorrect. To begin over, click CLEAR.

*
price BOX:   

results BOX: 

*
answer BOX:   

results BOX: 

In practice 3 through 5, review each inquiry below. Select your answer by clicking on its button. Feedback to your answer is detailed in the outcomes BOX. If you do a mistake, choose a different button.
3.Which of the adhering to is same 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 complying with is equal to 9,842.1039?
 nine thousand, eight hundred, forty two and one thousand, thirty-nine millionthsnine thousand, eight hundred, forty-two and also one thousand, thirty-nine ten-thousandthsnine thousand, eight hundred, forty-two and one thousand, thirty-nine thousandthsNone that the above.

See more: What Are The Four Steps Of The Information Processing Cycle, &Laquo Online Class Notes

RESULTS BOX: 

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

RESULTS BOX: