Terminating and Repeating
Decimal Numbers

Lesson
Topic Index | Grade 6 Math | Intermediate Test Prep | StudyZone

When decimal numbers are divided the answer will be either 

  a terminating decimal (a decimal number that ends with a
     remainder of zero) or

                        a repeating decimal (a decimal number whose answer
                           will have one or more digits in a pattern that repeats
                           indefinitely)

                        The decimal number "pi" (the quotient for 22 ÷ 7) is
                           unique in that it does not repeat nor does it end.   

Examples of Terminating Decimals:

Division Problem Answer
55.2 ÷ 6 9.2  Terminating Decimal
214.5 ÷ 11 19.5 Terminating Decimal

Examples of Repeating Decimals:

Division Problem   Answer
1.5 ÷  11 0.13636...
The 36 to the right of the decimal is repeating.  We would rewrite this repeating decimal with a bar over the repetend (36).

0.136        
1.7 ÷ 12 0.141666...
The 6 to the right of the decimal is repeating.  We would rewrite this decimal with a bar over the repetend (6).

 0.1416             

 Repeating decimals are decimals numbers 
that have a repeating pattern.

Terminating decimals are decimal numbers that end.

 

Let's Practice

 
Topic Index | Grade 6 Math | Intermediate Test Prep | StudyZone

Created by Sarah Therrien
Updated by Carol Carroll

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