In the last lesson, girlfriend were introduced to decimal numbers. Decimal places readjust by a element of 10. For example, let"s look in ~ the number "3247.8956" below.

You are watching: Six hundred thousandths in decimal form

 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 ten-thousandths

A decimal number deserve to have a whole-number part and a fractional part.

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

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

Example 1: compose each combined number as a decimal.

 Mixed Number Decimal 52.3000 973.4100 31.2670 1842.0056

Example 2: create each phrase as a combined number and as a decimal.

 phrase mixed number decimal five and also three tenths 5.300000 forty-nine and also one hundredth 49.010000 two hundred sixteen and two hundreds thirty-one thousandths 216.231000 nine thousand, ten and three hundred fifty-nine ten-thousandths 9,010.035900 seventy-six thousand, fifty-three and 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 examples above. You will notification that the denominator of the fractional part is a factor of 10, making the is basic to transform to a decimal. Let"s look in ~ some examples in which the denominator is not a aspect of 10.

Example 3: Write each mixed number together a decimal.

Analysis: A portion bar tells united state to divide. In order to execute this, us must convert or change the fractional part of each mixed number to decimal digits. Us will perform this by splitting the molecule of each portion by that is denominator.

 Mixed Number Fractional Part Decimal 6.9000 9.7200 167.1250 149.5625

Alternate Method: It should be noted that some of the fractions above could have been convert to decimals using equivalent fractions. Because that example:

Example 4: When asked come write two hundred thousandths as a decimal, three students gave three different answers as presented below. Which student had actually the correct answer?

Student 1: 200,000.

Student 2: 0.200

Student 3: 0.00002

Analysis: Let"s usage our location value chart to aid us analyze this problem.

 PLACE VALUE and DECIMALS Student 1 2 0 0 0 0 0 . Student 2 0 . 2 0 0 Student 3 0 . 0 0 0 0 2

Let"s look at the expanded type of each decimal to aid us discover the correct answer.

 Student Number Fraction Expanded Form Phrase 1 200,000.00000 2 x 100,000 two hundred thousand 2 0.20000 two hundred thousandths 3 0.00002 two hundred-thousandths

As you can see, decimal are named by the place of the last digit. An alert that in instance 4, the answer given by college student 3 was two hundred-thousandths. This phrase has actually a hyphen in it. The hyphen is vital piece of information that helps us read and write decimals. Let"s look in ~ some an ext examples.

Example 5: Write each expression as a decimal.

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

Example 6: write each phrase as a decimal.

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

Example 7: create each phrase as a decimal.

 phrase analysis fraction decimal seven hundreds millionths 700 millionths 0.000700 seven hundred-millionths 7 hundred-millionths 0.00000007

In instances 5 v 7, we were asked to write phrases together decimals. Some of the words in the phrase indicate the place-value positions, and also other native in the phrase indicate the digits to it is in used. Currently let"s look at some instances in i m sorry we write these kinds of decimals making use of 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 hundreds ten-thousandths

Example 9: compose each decimal making use of words.

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

 Example 10: Write the complying with decimal utilizing words. Roll your computer mouse over every digit because that help.

 Answer: The decimal 1,729,405.008365 is composed 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 decimal in this lesson. When writing a blended number together a decimal, the fractional component must be convert to decimal digits. Decimal are called by the place of the last digit. The hyphen is critical indicator when reading and also writing decimals. Once writing a phrase as a decimal, several of the words suggest the place-value positions, and other words suggest the digits to be used.

### Exercises

In exercises 1 and also 2, click when in response BOX and kind in her answer; then click ENTER. After you click ENTER, a blog post will show up in the outcomes BOX to show whether her answer is exactly or incorrect. To begin over, click CLEAR.

 price BOX:    results BOX:
 price BOX:    outcomes BOX:
 In practice 3 through 5, read each inquiry below. Choose your answer by clicking on its button. Feedback to her answer is noted in the outcomes BOX. If you make a mistake, pick a different button.
 3. Which that the complying with is same to seven hundred five thousand and also eighty-nine ten-thousandths? 700.005.089705,000.089705,000.0089705,000.00089RESULTS BOX:
 4. Which the the complying with is same 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 of the above.See more: How Much Does A 500 Gallon Propane Tank Weigh ? Weight Of 500 Gallon Propane TankRESULTS BOX:
 5. Which that the complying with is equal to five hundred-thousandths? 500,0000.5000.00050.00005RESULTS BOX:  .tags a { color: #fff; background: #909295; padding: 3px 10px; border-radius: 10px; font-size: 13px; line-height: 30px; white-space: nowrap; } .tags a:hover { background: #818182; } Home Contact - Advertising Copyright © 2022 invernessgangshow.net #footer {font-size: 14px;background: #ffffff;padding: 10px;text-align: center;} #footer a {color: #2c2b2b;margin-right: 10px;}