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 |

Answer: Thus, 2 hundred thousandths is 0.200, so student 2 had the correct answer.

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? |

700.005.089705,000.089705,000.0089705,000.00089 RESULTS 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 Notes RESULTS BOX: |

5. | Which of the following is equal to 5 hundred-thousandths? |

500,0000.5000.00050.00005 RESULTS BOX: |