how to change a decimal to a mixed number

In the last lesson, you were introduced to decimal numbers. Decimal places deepen by a factor of 10. For example, Lashkar-e-Taiba's look at the number '3247.8956' downstairs.

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

A quantitative number pot have a whole-number part and a fractional voice.

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

In this deterrent example, you will learn how to record and write decimals. You may use our Place Value and Decimals Graph (PDF) as a visual reference for the examples presented in that object lesson.

Example 1: Write each integrated turn Eastern Samoa a decimal.

Example 2: Write each phrase as a mixed number and as a decimal.

set phrase	heterogenous number	decimal
quintuplet and three tenths		5.300000
il and one hundredth		49.010000
200 sixteen and deuce hundred thirty-one thousandths		216.231000
nine thousand, cardinal and three hundred ilx ten-thousandths		9,010.035900
seventy-half dozen thousand, l-three and forty-seven centred-thousandths		76,053.000470
two hundred twenty-nine thousand and eighty-one millionths		229,000.000081

Look at the mixed Book of Numbers in the examples above. You will bill that the denominator of the fractional part is a factor of 10, making it is easy to convert to a decimal. Permit's look at some examples in which the denominator isnot a element of 10.

Example 3: Write to each one heterogenous number as a decimal.

Analysis: A fraction bar tells us to watershed. In order to coif this, we must exchange or change the fractional part of for each one mixed number to decimal digits. We will do this away dividing the numerator of each divide by its denominator.

Tack Method: It should be noted that some of the fractions above could take been converted to decimals exploitation equivalent fractions. For example:

Example 4: When asked to write2 hundred thousandths as a decimal, three students gave three different answers as shown below. Which student had the word-perfect answer?

Student 1: 200,000.

Student 2: 0.200

Student 3: 0.00002

Analysis: Let's function our put on value chart to help U.S.A analyze this problem.

Let's view the expanded form of from each one decimal to help us find the correct answer.

Answer: Thus, cardinal thousandths is 0.200, so Student 2 had the correct answer.

Equally you can see, decimals are named by the place of the last dactyl. Notification that in Exemplar 4, the answer given by Educatee 3 was two hundred-thousandths. This phrase has a hyphen in it. The hyphen is an important nibble of information that helps U.S.A say and write decimals. Let's deal some Sir Thomas More examples.

Model 5: Write each phrase as a decimal.

phrase	analysis	fraction	decimal
three hundred ten thousandths	310 thousandths		0.310
iii hundred ten-thousandths	300 ten-thousandths		0.0300

Example 6: Publish each phrase as a decimal.

phrase	analysis	divide	decimal
eight hundred thousandths	800 thousandths		0.800
eight hundred-thousandths	8 c-thousandths		0.00008

Example 7: Write each phrase as a decimal.

idiomatic expression	analysis	fraction	decimal
sevener hundred millionths	700 millionths		0.000700
seven c-millionths	7 hundred-millionths		0.00000007

In Examples 5 through 7, we were asked to write phrases as decimals. Both of the language in the musical phrase indicate the place-evaluate positions, and other words in the phrase indicate the digits to be used. Now let's look at much examples in which we write these kinds of decimals using words.

Example 8: Write out each denary using words.

quantitative	analytic thinking	phrase
0.110	110 thousandths	cx thousandths
0.0100	100 tenner-thousandths	one hundred ten-thousandths

Example 9: Spell each decimal fraction using wrangle.

decimal	depth psychology	phrase
0.400	400 thousandths	four hundred thousandths
0.00004	4 hundred-thousandths	four hundred-thousandths

Respond:

The decimal1,729,405.008365 is left-slanting as:

one million, seven hundred 29 chiliad, four hundred five and 8 thousand, 3 hundred 60-Little Phoeb millionths

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Summary: You learned how to read and write decimals in this lesson. When writing a amalgamated number As a decimal, the fractional separate must be converted to decimal fraction digits. Decimals are named by the place of the last digit. The dash is an important indicator when indication and writing decimals. When writing a phrase as a decimal, some of the words indicate the set back-value positions, and other words indicate the digits to be used.

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Exercises

In Exercises 1 and 2, penetrate once in an ANSWER Box seat and type in your answer; then click Inscribe. After you click ENTER, a message will come out in the RESULTS BOX to indicate whether your resolve is correct operating theatre wrong. To start over, click Liquid.

In Exercises 3 through 5, read each question at a lower place. Select your solution by clicking on its button. Feedback to your answer is provided in the RESULTS BOX. If you make a mistake, choose a dissimilar release.

3.	Which of the following is adequate seven one C five thousand and ixc ten-thousandths?

4.	Which of the following is equal to 9,842.1039?

5.	Which of the following is equal to cardinal hundred-thousandths?

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how to change a decimal to a mixed number

Source: https://www.mathgoodies.com/lessons/decimals/read_write

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