Eight Hundred Thirty Four Thousandths in Decimal Form
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
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.
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? |
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Eight Hundred Thirty Four Thousandths in Decimal Form
Source: https://www.mathgoodies.com/lessons/decimals/read_write