In the critical lesson, friend were presented to decimal numbers. Decimal places readjust by a element of 10. For example, let"s look at the number "3247.8956" below.

You are watching: Twenty three hundredths as a decimal

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 fountain part.

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

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

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

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

Example 1: create each mixed 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 also one hundredth | 49.010000 | |

two hundreds 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 blended numbers in the instances above. You will an alert that the denominator of the fractional part is a variable of 10, making it is simple to convert to a decimal. Let"s look in ~ some examples in i m sorry the denominator is not a element of 10.

Example 3: Write each blended number together a decimal.

Analysis: A fraction bar tells us to divide. In bespeak to do this, we must convert or change the fractional part of each blended number to decimal digits. Us will execute this by separating the numerator of each portion by that is denominator.

Mixed Number | Fractional Part | Decimal |

6.9000 | ||

9.7200 | ||

167.1250 | ||

149.5625 |

Alternate Method: It need to be provided that some of the fractions above could have been convert to decimal using equivalent fractions. Because that example:

Example 4: When asked to write **two hundred thousandths** as a decimal, three students gave three different answers as shown below. I beg your pardon student had the exactly answer?

Student 1: 200,000.

Student 2: 0.200

Student 3: 0.00002

Analysis: Let"s usage our location value chart to aid 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 every 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, two hundred thousandths is 0.200, so college student 2 had the exactly answer.

As you can see, decimal are called by the place of the critical digit. An alert that in instance 4, the answer given by student 3 was 2 hundred-thousandths. This phrase has actually a hyphen in it. The hyphen is critical piece of information that helps united state read and also write decimals. Let"s look in ~ some 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: compose 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 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 through 7, us were inquiry to write phrases as decimals. Several of the indigenous in the phrase indicate the place-value positions, and other words in the phrase suggest the digits to be used. Currently let"s look in ~ some instances in which we compose these type of decimals using words.

Example 8: write each decimal utilizing 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 making use of 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 because that help. | ||||||||||||

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

**one million, seven hundred twenty-nine thousand, four hundred five and also eight thousand, 3 hundred sixty-five millionths**

Summary: You learned how to read and write decimals in this lesson. When writing a blended number as a decimal, the fractional part must be convert to decimal digits. Decimals are named by the place of the critical digit. The hyphen is an essential indicator when reading and also writing decimals. As soon as writing a expression as a decimal, some of the words show the place-value positions, and other words indicate the digits to it is in used.

**Exercises**

In practice 1 and 2, click once in response BOX and type in your answer; then click ENTER. After friend click ENTER, a blog post will show up in the outcomes BOX to suggest whether her answer is correct or incorrect. To start over, click CLEAR.

price BOX: results BOX: |

price BOX: outcomes BOX: |

In exercises 3 through 5, review each concern below. Select your price by clicking its button. Feedback to your answer is provided in the outcomes BOX. If you do a mistake, choose a different button. |

3. | Which the the following is equal to 7 hundred 5 thousand and 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, fourty two and also one thousand, thirty-nine millionthsnine thousand, eight hundred, forty-two and also one thousand, thirty-nine ten-thousandthsnine thousand, eight hundred, forty-two and also one thousand, thirty-nine thousandthsNone that the above. See more: How Many Potatoes Make A Pound ? How Many Potatoes In A Pound RESULTS BOX: |

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

500,0000.5000.00050.00005 RESULTS BOX: |