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

You are watching: Two and three hundredths 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 have the right to have a whole-number component and a fountain part.

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

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

Example 1: write each combined number as a decimal.

 Mixed Number Decimal 52.3000 973.4100 31.2670 1842.0056

Example 2: create each expression as a mixed 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 hundreds sixteen and two hundreds thirty-one thousandths 216.231000 nine thousand, ten and also three hundred fifty-nine ten-thousandths 9,010.035900 seventy-six thousand, fifty-three and also forty-seven hundred-thousandths 76,053.000470 two hundreds twenty-nine thousand and eighty-one millionths 229,000.000081

Look in ~ the combined numbers in the instances above. Girlfriend will an alert that the denominator the the fractional component is a aspect of 10, making that is basic to convert to a decimal. Let"s look at some examples in i beg your pardon the denominator is not a variable of 10.

Example 3: Write each mixed number as a decimal.

Analysis: A fraction bar tells us to divide. In bespeak to perform this, we must transform or readjust the fractional component of each blended number to decimal digits. Us will carry out this by splitting the numerator of each portion by that denominator.

 Mixed Number Fractional Part Decimal  6.9000  9.7200  167.1250  149.5625 Alternate Method: It need to be detailed that several of the fractions over could have actually been convert to decimals using equivalent fractions. Because that example: Example 4: When asked come write two hundreds thousandths as a decimal, three students provided three various answers as shown below. I m sorry student had actually the correct answer?

Student 1: 200,000.

Student 2: 0.200

Student 3: 0.00002

Analysis: Let"s use our ar value chart to assist us analysis 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 kind of each decimal to assist us discover the exactly answer.

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

As you have the right to see, decimal are named by the location of the last digit. Notification that in instance 4, the answer provided by college student 3 was 2 hundred-thousandths. This phrase has actually a hyphen in it. The hyphen is critical piece of info that helps us read and write decimals. Let"s look at some much more examples.

Example 5: Write each phrase as a decimal.

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

Example 6: create 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: compose each expression as a decimal.

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

In instances 5 with 7, we were request to write phrases together decimals. Several of the indigenous in the phrase suggest the place-value positions, and also other native in the phrase suggest the number to it is in used. Currently let"s look in ~ some instances in i m sorry we write these kinds of decimals utilizing words.

Example 8: compose each decimal using words.

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

Example 9: create each decimal using words.

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

 Example 10: Write the adhering to decimal making use of words. Role your computer mouse over every digit for help. Answer: The decimal 1,729,405.008365 is written 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 decimals in this lesson. Once writing a blended number together a decimal, the fractional part must be convert to decimal digits. Decimal are called by the location of the last digit. The hyphen is an essential indicator once reading and also writing decimals. As soon as writing a expression as a decimal, several of the words indicate the place-value positions, and other words indicate the number to be used.

### Exercises

In exercises 1 and 2, click as soon as in an answer BOX and form in her answer; climate click ENTER. After girlfriend click ENTER, a article will show up in the results BOX to indicate whether your answer is correct or incorrect. To begin over, click CLEAR. price BOX:    results BOX: answer BOX:    results BOX:
 In practice 3 through 5, review each inquiry below. Select your answer by clicking on its button. Feedback to your answer is detailed in the outcomes BOX. If you do a mistake, choose a different button.
 3. Which of the adhering to is same to 7 hundred five thousand and eighty-nine ten-thousandths? 700.005.089705,000.089705,000.0089705,000.00089RESULTS BOX:
 4. Which the the complying with is equal 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 that the above.See more: What Are The Four Steps Of The Information Processing Cycle, &Laquo Online Class NotesRESULTS BOX:
 5. Which of the following is equal to 5 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 barisalcity.org #footer {font-size: 14px;background: #ffffff;padding: 10px;text-align: center;} #footer a {color: #2c2b2b;margin-right: 10px;}