# math

ACTIVITY 12: TERMINATE
OR REPEAT?
Every fraction has a decimal equivalent that either terminates (for example, ) or
repeats (for example, ). Work with a group to discover which fractions have terminating
decimals and which have repeating decimals. You may assume that the numerator
of each fraction you consider is and focus your attention on the denominator. As you complete
the table below, you will find that the key to this question lies with the prime factorization
of the denominator.
2
9
� 0.2
1
4
� 0.25
Prime Factorization
Fraction Decimal Form Terminate? of the Denominator
1
12
1
11
1
10
1
9
1
8
1
7
1
6
1
5
1
4
1
3
1
2
State a general rule describing which fractions have decimal forms that terminate and
which have decimal forms that repeat.
Now test your rule on at least three new fractions. That is, be able to predict whether a
fraction such as or has a terminating decimal or a repeating decimal. Then confirm
your prediction.
1
30
1
25
360

1. 👍 0
2. 👎 0
3. 👁 106

## Similar Questions

1. ### Math 115

Every fraction has a decimal equivalent that either terminates (for example,1/4=0.25 ) or repeats (for example,2/9=0.2 ). Work with a group to discover which fractions have terminating decimals and which have repeating decimals.

asked by blondie on December 5, 2007
2. ### Math 115

Every fraction has a decimal equivalent that either terminates (for example,1/4=0.25 ) or repeats (for example,2/9=0.2 ). Work with a group to discover which fractions have terminating decimals and which have repeating decimals.

asked by blondie on December 5, 2007
3. ### math

As you complete the table below, you will find that the key to this question lies with the prime factorization of the denominator. 2 9 = 0.2 Fraction Decimal Form Terminate? Prime factorization of the Denominator 1 2 1 3 1 4 1 5 1

asked by dawn on June 25, 2008
4. ### Math (and note to DAMON)

1. 0.24% as a decimal? Is it 0.0024? 2. 135% as a decimal? Is it 1.35? 3. 1/5% as a decimal? Is it 0.2? 4. fraction equivalent to 0.75% is... Is it 3/4? 5. mixed number equivalent to 420% is... Is it 4 1/5? 6. percent equivalent

asked by China on January 13, 2016
5. ### Math

1. 0.24% as a decimal? Is it 0.0024? 2. 135% as a decimal? Is it 1.35? 3. 1/5% as a decimal? Is it 0.2? 4. fraction equivalent to 0.75% is... Is it 3/4? 5. mixed number equivalent to 420% is... Is it 4 1/5? 6. percent equivalent

asked by China on January 13, 2016
6. ### math

describe general rule for which fraction that have decimal forms that terminate and which have decimals that repeat and list prime factorizations for each: 1/2 , 1/3, 1/4, 1/5,1/6,1/7,1/8,1/9,1/10,1/11,1/12 how do I do these

asked by patti help on March 7, 2007
7. ### Math

State a general rule describing which fractions have decimal forms that terminate and which have decimal forms that repeat.

asked by A.W. on November 26, 2008
8. ### Math

How do you write 24% as a decimal? 2.4 0.24*** 0.024 How do you write 135% as a decimal? 1.35*** 13.5 0.135 How do you write 4% as a decimal? 0.4*** 0.40 0.04 Which fraction is equivalent to 72%? (No answer, not sure on this one.)

asked by Iris on November 11, 2018
9. ### Math

Can someone help me with this problem? A) Separate the fractions 2/6, 2/5, 6/13, 1/25, 7/8, and 9/29 into two categories: those that can be written as a terminating decimal and those of non-terminating. Write an explanation of how

asked by B.B. on July 11, 2009
10. ### math

I do not understand this. Terminate or Repeat? #1 What is the General rule #2 Test your Rule with new fraction #l and Test your rule with new fraction #2. Can some one help please?

asked by Virgie on January 14, 2010

More Similar Questions