## Writing Decimals

Contents

Now we will translate the name of a decimal number into decimal notation. We will reverse the procedure we just used.

Let’s start by writing the number six and seventeen hundredths:

six and seventeen hundredths | |

The word and tells us to place a decimal point. | ___.___ |

The word before and is the whole number; write it to the left of the decimal point. | 6._____ |

The decimal part is seventeen hundredths. Mark two places to the right of the decimal point for hundredths. | 6._ _ |

Write the numerals for seventeen in the places marked. | 6.17 |

## Example

Write fourteen and thirty-seven hundredths as a decimal.

### Solution

fourteen and thirty-seven hundredths | |

Place a decimal point under the word ‘and’. | ______. _________ |

Translate the words before ‘and’ into the whole number and place it to the left of the decimal point. | 14. _________ |

Mark two places to the right of the decimal point for “hundredths”. | 14.__ __ |

Translate the words after “and” and write the number to the right of the decimal point. | 14.37 |

Fourteen and thirty-seven hundredths is written 14.37. |

### How to Write a decimal number from its name.

- Look for the word “and”—it locates the decimal point.
- Mark the number of decimal places needed to the right of the decimal point by noting the place value indicated by the last word.
- Place a decimal point under the word “and.” Translate the words before “and” into the whole number and place it to the left of the decimal point.
- If there is no “and,” write a “0” with a decimal point to its right.

- Translate the words after “and” into the number to the right of the decimal point. Write the number in the spaces—putting the final digit in the last place.
- Fill in zeros for place holders as needed.

The second bullet in Step 1 is needed for decimals that have no whole number part, like ‘nine thousandths’. We recognize them by the words that indicate the place value after the decimal – such as ‘tenths’ or ‘hundredths.’ Since there is no whole number, there is no ‘and.’ We start by placing a zero to the left of the decimal and continue by filling in the numbers to the right, as we did above.

## Example

Write twenty-four thousandths as a decimal.

### Solution

twenty-four thousandths | |

Look for the word “and”. | There is no “and” so start with 0 0. |

To the right of the decimal point, put three decimal places for thousandths. | |

Write the number 24 with the 4 in the thousandths place. | |

Put zeros as placeholders in the remaining decimal places. | 0.024 |

So, twenty-four thousandths is written 0.024 |

Before we move on to our next objective, think about money again. We know that \(\text{\$1}\) is the same as \(\text{\$1.00}.\) The way we write \(\text{\$1}\phantom{\rule{0.2em}{0ex}}\left(\text{or}\phantom{\rule{0.2em}{0ex}}\text{\$1.00}\right)\) depends on the context. In the same way, integers can be written as decimals with as many zeros as needed to the right of the decimal.

### Optional Video: Write a Number in Decimal Notation from Words

Continue With the Mobile App | Available on Google Play

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