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 |

Answer: Thus, 2 hundred thousandths is 0.200, so college student 2 had actually the exactly answer.

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? |

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

5. | Which that the complying with is equal to five hundred-thousandths? |

500,0000.5000.00050.00005 RESULTS BOX: |