In the last lesson, friend were introduced to decimal numbers. Decimal places readjust by a variable of 10. Because that example, let\"s look in ~ the number \"3247.8956\" below.
You are watching: Three and fifty four thousandths in decimal form
A decimal number have the right to have a whole-number part and a spring part.
|Mixed Number||- Expanded type -||Decimal Form|
|= (5 x 10) + ( 7 x 1)||+ (4 x |
) + (9 x
|- whole-number component -||- fractional part -|
In this lesson, you will certainly learn exactly how to read and write decimals. You might use our Place Value and Decimals Chart (PDF) as a visual referral for the instances presented in this lesson.
Example 1: create each combined number as a decimal.
Example 2: write each expression as a mixed number and also as a decimal.
|five and 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 hundreds fifty-nine ten-thousandths||9,010.035900|
|seventy-six thousand, fifty-three and also forty-seven hundred-thousandths||76,053.000470|
|two hundred twenty-nine thousand and eighty-one millionths||229,000.000081|
Look at the combined numbers in the instances above. Girlfriend will notification that the denominator of the fractional part is a aspect of 10, making that is easy to convert to a decimal. Let\"s look in ~ some examples in i beg your pardon the denominator is not a factor of 10.
Example 3: Write each combined number as a decimal.
Analysis: A portion bar tells us to divide. In stimulate to perform this, us must convert or change the fractional component of each blended number to decimal digits. We will carry out this by dividing the numerator of each portion by that is denominator.
|Mixed Number||Fractional Part||Decimal|
Alternate Method: It need to be provided that several of the fractions above could have been convert to decimal using equivalent fractions. Because that example:
Example 4: When asked to write two hundred thousandths as a decimal, 3 students gave three different answers as shown below. I beg your pardon student had the correct answer?
Student 1: 200,000.
Student 2: 0.200
Student 3: 0.00002
Analysis: Let\"s use our ar value graph to help us analysis this problem.
|PLACE VALUE and DECIMALS|
| || || || |
Let\"s look at the expanded kind of every decimal to help us find the exactly answer.
|1||200,000.00000||2 x 100,000||two hundreds thousand|
|2||0.20000||two hundred thousandths|
Answer: Thus, two hundred thousandths is 0.200, so student 2 had the exactly answer.
As you can see, decimal are named by the ar of the critical digit. Notice that in instance 4, the answer given by student 3 was 2 hundred-thousandths. This phrase has a hyphen in it. The hyphen is vital piece of information that helps united state read and write decimals. Let\"s look at some more examples.
Example 5: Write each expression as a decimal.
|three hundreds ten thousandths||310 thousandths||0.310|
|three hundred ten-thousandths||300 ten-thousandths||0.0300|
Example 6: write each expression as a decimal.
|eight hundreds thousandths||800 thousandths||0.800|
|eight hundred-thousandths||8 hundred-thousandths||0.00008|
Example 7: write each expression as a decimal.
|seven hundreds millionths||700 millionths||0.000700|
|seven hundred-millionths||7 hundred-millionths||0.00000007|
In instances 5 with 7, we were request to write phrases as decimals. Several of the native in the phrase indicate the place-value positions, and other words in the phrase suggest the digits to be used. Now let\"s look at some instances in which we compose these kinds of decimals utilizing words.
Example 8: create each decimal making use of words.
|0.110||110 thousandths||one hundred ten thousandths|
|0.0100||100 ten-thousandths||one hundreds ten-thousandths|
Example 9: write each decimal using words.
|0.400||400 thousandths||four hundreds thousandths|
|0.00004||4 hundred-thousandths||four hundred-thousandths|
|Example 10:||Write the complying with decimal using words. Roll your computer mouse over each digit for help.|
|Answer:||The decimal 1,729,405.008365 is created 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 write decimal in this lesson. Once writing a combined number as a decimal, the fractional part must be convert to decimal digits. Decimals are called by the location of the last digit. The hyphen is critical indicator when reading and writing decimals. When writing a expression as a decimal, few of the words indicate the place-value positions, and other words show the digits to it is in used.
In practice 1 and also 2, click as soon as in solution BOX and type in your answer; climate click ENTER. After you click ENTER, a article will appear in the outcomes BOX to suggest whether her answer is correct or incorrect. To start over, click CLEAR.
|In exercises 3 through 5, review each question below. Pick your price by clicking its button. Feedback to her answer is provided in the results BOX. If you make a mistake, pick a different button.|
|3.||Which that the following is same to seven hundred 5 thousand and also eighty-nine ten-thousandths?|
|4.||Which that the complying with is equal to 9,842.1039?|
|nine thousand, eight hundred, fourty two and one thousand, thirty-nine millionthsnine thousand, eight hundred, forty-two and one thousand, thirty-nine ten-thousandthsnine thousand, eight hundred, forty-two and one thousand, thirty-nine thousandthsNone the the above.|
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|5.||Which of the following is same to five hundred-thousandths?|