Eight Hundred Thirty Four Thousandths in Decimal Form

In the last lesson, you were introduced to decimal numbers. Decimal places modify by a gene of 10. For example, let’s wait at the number ‘3247.8956’ below.

3	x	1000	thousands
ii	x	100	hundreds
4	ten	10	tens
7	10	1	ones
8	x	0.one	tenths
9	x	0.01	hundredths
v	ten	0.001	thousandths
half dozen	x	0.0001	ten-thousandths

A decimal number can have a whole-number office and a fractional function.

Mixed Number	– Expanded Form –		Decimal Course
	= (5 x 10) + ( vii ten 1)	+ (4 ten) + (9 x)	= 57.49
	– whole-number part –	– fractional office –

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

Instance i: Write each mixed number as a decimal.

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

phrase	mixed number	decimal
five and 3 tenths		5.300000
twoscore-nine and one hundredth		49.010000
two hundred sixteen and 2 hundred thirty-ane thousandths		216.231000
ix thousand, ten and three hundred fifty-ix ten-thousandths		9,010.035900
70-6 one thousand, fifty-3 and twoscore-7 hundred-thousandths		76,053.00047
two hundred xx-nine thou and fourscore-1 millionths		229,000.000081

Look at the mixed numbers in the examples to a higher place. Y’all will notice that the denominator of the fractional function is a gene of x, making it is like shooting fish in a barrel to catechumen to a decimal. Let’s look at some examples in which the denominator isnot a factor of ten.

Example 3: Write each mixed number as a decimal.

Analysis: A fraction bar tells us to divide. In society to practice this, we must convert or change the fractional part of each mixed number to decimal digits. We will do this by dividing the numerator of each fraction by its denominator.

Alternate Method: Information technology should exist noted that some of the fractions to a higher place could accept been converted to decimals using equivalent fractions. For example:

Example 4: When asked to writetwo hundred thousandths as a decimal, 3 students gave three different answers every bit shown below. Which student had the correct answer?

Student 1: 200,000.

Educatee two: 0.200

Student three: 0.00002

Analysis: Let’southward use our place value chart to help united states analyze this trouble.

Let’s wait at the expanded form of each decimal to assist us find the correct answer.

Reply: Thus, 2 hundred thousandths is 0.200, so Student 2 had the correct answer.

As you can run into, decimals are named by the place of the concluding digit. Notice that in Example iv, the answer given by Student three was two hundred-thousandths. This phrase has a hyphen in it. The hyphen is an important piece of information that helps us read and write decimals. Let’s await at some more examples.

Case v: Write each phrase as a decimal.

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

Example 6: Write each phrase as a decimal.

phrase	analysis	fraction	decimal
viii hundred thousandths	800 thousandths		0.800
eight hundred-thousandths	8 hundred-thousandths		0.00008

Example 7: Write each phrase as a decimal.

phrase	assay	fraction	decimal
seven hundred millionths	700 millionths		0.000700
seven hundred-millionths	7 hundred-millionths		0.00000007

In Examples v through 7, we were asked to write phrases as decimals. Some of the words in the phrase indicate the place-value positions, and other words in the phrase indicate the digits to be used. Now let’s await at some examples in which nosotros write these kinds of decimals using words.

Example 8: Write each decimal using words.

decimal	analysis	phrase
0.110	110 thousandths	one hundred ten thousandths
0.0100	100 ten-thousandths	one hundred 10-thousandths

Example 9: Write each decimal using words.

decimal	analysis	phrase
0.400	400 thousandths	four hundred thousandths
0.00004	4 hundred-thousandths	four hundred-thousandths

Answer:

The decimal1,729,405.008365 is written equally:

one million, seven hundred twenty-ix thousand, four hundred five and eight m, iii hundred sixty-five millionths

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Summary: You lot learned how to read and write decimals in this lesson. When writing a mixed number as a decimal, the fractional part must exist converted to decimal digits. Decimals are named past the identify of the last digit. The hyphen is an important indicator when reading and writing decimals. When writing a phrase as a decimal, some of the words signal the place-value positions, and other words indicate the digits to exist used.

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Exercises

In Exercises 1 and 2, click one time in an ANSWER BOX and type in your answer; then click ENTER. Later on you click ENTER, a message will appear in the RESULTS BOX to betoken whether your answer is correct or incorrect. To beginning over, click CLEAR.

In Exercises three through five, read each question below. Select your answer by clicking on its push. Feedback to your reply is provided in the RESULTS BOX. If you make a mistake, choose a different button.

3.	Which of the post-obit is equal to vii hundred five thousand and 80-nine ten-thousandths?

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

v.	Which of the post-obit is equal to v hundred-thousandths?