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Can all terminating decimals be written as fractions Justify your answer?
Wiki User
∙ 11y ago
Yes.
Supposing the decimal terminates after n digits following the decimal point.
Then consider the fraction whose numerator is the integer formed from the decimal by removing the decimal point. The denominator is 10n or 1 followed by n 0s. This fraction is equivalent to the terminating decimal.
Wiki User
∙ 11y ago
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Can terminating decimals be written as fractions?
Yes.
Can fractions always be written as decimals?
You can always convert a fraction to a decimal. For some fractions, you'll get terminating decimals. For example, 1/8 = 0.125. For other fractions, you get repeating decimals, such as 1/7 = 0.142857 142857 142857...To convert the fraction to a decimal, just divide the numerator by the denominator, for example on a calculator.
How can a decimal be a rational number?
Any number that can be written in fraction form is a rational number. This includes integers , terminating decimals , and repeating decimals as well as fractions. An integer can be written as a fraction simply by giving it a denominator of one so any integer in a rational number.
What numbers can be written as fractions?
Any terminating/rational number can be written as a fraction.
Are millimeter measurements written in fractions or decimals?
Decimals are more commonly used.
Can all terminating decimals be written as fractions?
All terminating decimals can be written as fractions.
Can terminating decimals be written as fractions?
Yes.
Can fractions always be written as decimals?
You can always convert a fraction to a decimal. For some fractions, you'll get terminating decimals. For example, 1/8 = 0.125. For other fractions, you get repeating decimals, such as 1/7 = 0.142857 142857 142857...To convert the fraction to a decimal, just divide the numerator by the denominator, for example on a calculator.
Is 0.003 a rational number?
Yes; it can be written as 3/1000. In general, both terminating and periodic decimals are rational numbers.Yes; it can be written as 3/1000. In general, both terminating and periodic decimals are rational numbers.Yes; it can be written as 3/1000. In general, both terminating and periodic decimals are rational numbers.Yes; it can be written as 3/1000. In general, both terminating and periodic decimals are rational numbers.
How can fractions be written as?
decimals
How can a decimal be a rational number-?
Rational Numbers are any number that can be written in fraction form .This includes integers, terminating decimals, and repeating decimals as well as fractions. A decimal number can be written in rational numbers depending on the place value of the decimal point.
How can a decimal be a rational number?
Any number that can be written in fraction form is a rational number. This includes integers , terminating decimals , and repeating decimals as well as fractions. An integer can be written as a fraction simply by giving it a denominator of one so any integer in a rational number.
What numbers can be written as fractions?
Any terminating/rational number can be written as a fraction.
Are millimeter measurements written in fractions or decimals?
Decimals are more commonly used.
How are fractions and decimals different?
They are written in different forms.
What are decimals that come to an end?
Commonly called terminating decimals. However, no decimals actually come to an end as you can add zeros until infinity without changing the value of the decimal. therefore they are known as recurring decimals in a similar way to 1/3 e.g. 0.13 = 0.1300000000000000000000000000... 13/100 and 2/3 = 0.66666666666666666666... These can all be written as fractions.
Why are rational numbers terminating or repeating decimal?
Because terminating or repeating decimals can be written as the quotient of two integers a/b, where b is not equal to zero.
