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

You are watching: One hundred thirty five ten thousandths in standard 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 kind - | 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 just how to read and write decimals. You may use our Place Value and Decimals Chart (PDF) together a visual recommendation for the instances presented in this lesson.

Example 1: compose each blended number together a decimal.

Mixed Number | Decimal |

52.3000 | |

973.4100 | |

31.2670 | |

1842.0056 |

Example 2: write each expression as a blended number and as a decimal.

phrase | mixed number | decimal |

five and also three tenths | 5.300000 | |

forty-nine and one hundredth | 49.010000 | |

two hundred sixteen and two hundred 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 hundred twenty-nine thousand and eighty-one millionths | 229,000.000081 |

Look at the combined numbers in the instances above. Girlfriend will an alert that the denominator of the fractional component is a variable of 10, making the is straightforward to convert to a decimal. Let"s look in ~ some instances in i m sorry the denominator is not a variable of 10.

Example 3: Write each combined number together a decimal.

Analysis: A portion bar tells united state to divide. In bespeak to execute this, we must convert or adjust the fractional part of each combined number to decimal digits. We will execute this by dividing the molecule of each portion by its denominator.

Mixed Number | Fractional Part | Decimal |

6.9000 | ||

9.7200 | ||

167.1250 | ||

149.5625 |

Alternate Method: It should be noted that few of the fractions over could have actually been convert to decimal using equivalent fractions. For example:

Example 4: When asked to write **two hundred thousandths** as a decimal, three students provided three different answers as displayed below. Which student had the exactly answer?

Student 1: 200,000.

Student 2: 0.200

Student 3: 0.00002

Analysis: Let"s usage our location value graph to assist us analysis this problem.

PLACE VALUE and also 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 every decimal to aid us find the correct 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 college student 2 had actually the exactly answer.

As you deserve to see, decimal are called by the ar of the critical digit. Notification that in example 4, the answer given by student 3 was 2 hundred-thousandths. This phrase has a hyphen in it. The hyphen is vital piece of info that helps us read and also write decimals. Let"s look at some more examples.

Example 5: Write each expression as a decimal.

phrase | analysis | fraction | decimal |

three hundreds ten thousandths | 310 thousandths | 0.310 | |

three hundred ten-thousandths | 300 ten-thousandths | 0.0300 |

Example 6: create each expression 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 hundreds millionths | 700 millionths | 0.000700 | |

seven hundred-millionths | 7 hundred-millionths | 0.00000007 |

In examples 5 through 7, us were inquiry to compose phrases as decimals. Few of the indigenous in the phrase show the place-value positions, and also other native in the phrase suggest the digits to it is in used. Currently let"s look in ~ some examples in i beg your pardon we create these type 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 hundreds ten-thousandths |

Example 9: write each decimal using words.

decimal | analysis | phrase |

0.400 | 400 thousandths | four hundreds thousandths |

0.00004 | 4 hundred-thousandths | four hundred-thousandths |

Example 10: | Write the adhering to decimal utilizing words. Roll your mouse over each digit for help. | ||||||||||||

Answer: | The decimal 1,729,405.008365 is written as: |

**one million, 7 hundred twenty-nine thousand, four hundred five and also eight thousand, three hundred sixty-five millionths**

Summary: You learned exactly how to read and write decimals in this lesson. When writing a combined number as a decimal, the fractional part must be convert to decimal digits. Decimal are called by the ar of the critical digit. The hyphen is vital indicator as soon as reading and writing decimals. As soon as writing a phrase as a decimal, few of the words show the place-value positions, and other words show the digits to it is in used.

**Exercises**

In exercises 1 and 2, click when in an answer BOX and form in her answer; climate click ENTER. After friend click ENTER, a post will appear in the results BOX to show whether her answer is correct or incorrect. To start over, click CLEAR.

price BOX: outcomes BOX: |

answer BOX: outcomes BOX: |

In exercises 3 v 5, review each concern below. Select your answer by clicking its button. Feedback to her answer is listed in the results BOX. If you do a mistake, choose a various button. |

3. | Which the the following 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 of the following 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 also one thousand, thirty-nine thousandthsNone the the above. See more: " Diary Of A Wimpy Kid The Last Straw Ar Test, The Last Straw (Diary Of A Wimpy Kid) Quiz RESULTS BOX: |

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

500,0000.5000.00050.00005 RESULTS BOX: |