In the critical lesson, you were presented to decimal numbers. Decimal places readjust by a variable of 10. Because that example, let\"s look in ~ the number \"3247.8956\" below.

You are watching: Thirty five 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 deserve to have a whole-number component and a fountain part.

Mixed Number | - Expanded kind - | Decimal Form | |

= (5 x 10) + ( 7 x 1) | + (4 x ) + (9 x ) | = 57.49 | |

- whole-number part - | - fractional component - |

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

Example 1: compose each blended number as a decimal.

Mixed Number | Decimal |

52.3000 | |

973.4100 | |

31.2670 | |

1842.0056 |

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

phrase | mixed number | decimal |

five and three tenths | 5.300000 | |

forty-nine and one hundredth | 49.010000 | |

two hundreds sixteen and also two hundreds thirty-one thousandths | 216.231000 | |

nine thousand, ten and three hundreds 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 also eighty-one millionths | 229,000.000081 |

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

Example 3: Write each combined number as a decimal.

Analysis: A portion bar tells united state to divide. In order to do this, we must convert or adjust the fractional part of each combined number to decimal digits. Us will perform this by splitting the molecule of each fraction by that denominator.

Mixed Number | Fractional Part | Decimal |

6.9000 | ||

9.7200 | ||

167.1250 | ||

149.5625 |

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

Example 4: When asked to write **two hundreds thousandths** as a decimal, 3 students provided three various 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 use our ar value graph to help 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 in ~ the expanded kind of each decimal to aid us uncover the exactly answer.

Student | Number | Fraction | Expanded Form | Phrase |

1 | 200,000.00000 | 2 x 100,000 | two hundreds thousand | |

2 | 0.20000 | two hundreds thousandths | ||

3 | 0.00002 | two hundred-thousandths |

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

As you deserve to see, decimals are called by the location of the last digit. Notification that in instance 4, the answer offered by student 3 was two hundred-thousandths. This phrase has a hyphen in it. The hyphen is critical piece of information that helps us read and also write decimals. Let\"s look in ~ some more examples.

Example 5: Write each expression as a decimal.

phrase | analysis | fraction | decimal |

three hundreds ten thousandths | 310 thousandths | 0.310 | |

three hundreds ten-thousandths | 300 ten-thousandths | 0.0300 |

Example 6: compose each expression as a decimal.

phrase | analysis | fraction | decimal |

eight hundred thousandths | 800 thousandths | 0.800 | |

eight hundred-thousandths | 8 hundred-thousandths | 0.00008 |

Example 7: compose each phrase 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 through 7, us were asked to compose phrases as decimals. Few of the indigenous in the phrase suggest the place-value positions, and other words in the phrase suggest the digits to it is in used. Now let\"s look at some instances in which we create these kinds of decimals utilizing words.

Example 8: write each decimal making use of 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 hundreds thousandths |

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

Example 10: | Write the following decimal utilizing words. Roll your mouse over each 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 eight thousand, 3 hundred sixty-five millionths**

Summary: You learned how to read and also write decimals in this lesson. As soon as writing a blended number together a decimal, the fractional component must be converted to decimal digits. Decimal are called by the ar of the last digit. The hyphen is critical indicator when reading and also writing decimals. Once writing a phrase as a decimal, few of the words indicate the place-value positions, and other words show the number to it is in used.

**Exercises**

In practice 1 and also 2, click as soon as in solution BOX and kind in her answer; climate click ENTER. After girlfriend click ENTER, a post will appear in the results BOX to show whether your answer is exactly or incorrect. To start over, click CLEAR.

price BOX: outcomes BOX: |

price BOX: results BOX: |

In practice 3 through 5, check out each inquiry below. Pick your prize by clicking its button. Feedback to your answer is noted in the outcomes BOX. If you make a mistake, choose a various button. |

3. | Which that the adhering to is same to 7 hundred 5 thousand and also eighty-nine ten-thousandths? |

700.005.089705,000.089705,000.0089705,000.00089 RESULTS BOX: |

4. | Which of 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 one thousand, thirty-nine ten-thousandthsnine thousand, eight hundred, forty-two and one thousand, thirty-nine thousandthsNone of the above. See more: Convert 1500 Square Feet To Square Meters, 1500 Square Feet To Square Meters RESULTS BOX: |

5. | Which of the complying with is same to 5 hundred-thousandths? |

500,0000.5000.00050.00005 RESULTS BOX: |