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Every rational number can be expressed as a fraction

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Q: Every terminating or repeating decimal represents a rational number and can be changed to a what?
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Why do you multiplied by a power of 10 when writing a repeating decimal as a rational number?

Multiplying by ten to the power k moves the decimal point k places to the right. If the repeating sequence comprises n digits and you multiply by 10n then the decimal point is moved n places to the right and the positions of the repeating sequence relative to the decimal point is not changed. This allows you to subtract the one repeating decimal expression from the other and get a terminating decimal which can then be used as the numerator of the ratio.


When a fraction is changed to a decimal and the remainder is not zero what is it called?

If the remainder were 0 it would be a terminating decimal. So it it not one of them. Any rational fraction MUST be have a decimal representation that is either terminating or recurring. So it is a recurring decimal.If you carry on with the division, you may find that the remainder changes but it will return to an earlier value. The part of the "quotient" from where you first got the remainder to where you got it again is the string of repeating digits. It will always be less than the denominator of the fraction.So, for example,2/3 = 0.66.... has a repeating string of length 1 but2/7 = 0.285714 285714 .... has a repeating string of length 6 = 7-1.2/13 = 0.153846 153846 ... also has a repeating string of length 6.


When a fraction changed to a decimal and the remainder is not zero the decimal is called?

If the remainder were 0 it would be a terminating decimal. So it it not one of them. Any rational fraction MUST be have a decimal representation that is either terminating or recurring. So it is a recurring decimal.If you carry on with the division, you may find that the remainder changes but it will return to an earlier value. The part of the "quotient" from where you first got the remainder to where you got it again is the string of repeating digits. It will always be less than the denominator of the fraction.So, for example,2/3 = 0.66.... has a repeating string of length 1 but2/7 = 0.285714 285714 .... has a repeating string of length 6 = 7-1.2/13 = 0.153846 153846 ... also has a repeating string of length 6.


When a fraction is changed to a decimal and the remainder is not zero what is the decimal called?

If the remainder were 0 it would be a terminating decimal. So it it not one of them. Any rational fraction MUST be have a decimal representation that is either terminating or recurring. So it is a recurring decimal.If you carry on with the division, you may find that the remainder changes but it will return to an earlier value. The part of the "quotient" from where you first got the remainder to where you got it again is the string of repeating digits. It will always be less than the denominator of the fraction.So, for example,2/3 = 0.66.... has a repeating string of length 1 but2/7 = 0.285714 285714 .... has a repeating string of length 6 = 7-1.2/13 = 0.153846 153846 ... also has a repeating string of length 6.


When a fraction is changed to a decimal and the remander is zero what is the decimal called?

It is a terminating decimal


What does Juno learn during her pregnancy?

What do you think Juno changed her mind about terminating the pregnancy?


What is 1.7 repeating changed into a fraction?

8/45


When a fraction is changed to a decimal and the remainder is zero the decimal is called a?

a terminating decimal. got this from chacha.


Can an irrational number be changed into a rational number?

yes


When a fraction is changed to decimal and the remainder is zero the decimal is called?

a repeating decimal


When a fraction is changed to a decimal and the remainder is not a zeroa digit or block of digits will eventually start to repeat such a decimal is called a?

Terminating decimal


What is thirty three and one third percent changed into a decimal?

33.3 REPEATING 3 %