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How can you use place value to write a terminating decimal as a fraction with a power of ten in the deminator?
Finding a place value in a terminating decimal is easy. When placing the decimal always remember to place it at the tenth.
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 a non-terminating decimal always sometimes or never a rational number?
Sometimes. (pi) is non-terminating and irrational. 0.33333... non-terminating is 1/3 , which is rational.
Is a fraction always a rational number?
No, a fraction such as 22/7 (approximately pi), is a non-terminating, non-repeating fraction, making it irrational.
Why does 39 divided by 99 equal 0.39393939 repeating?
Simply because the solution to your sum produces a repeating decimal. Just as 22/7 (The value of Pi as a fraction) produces the repeating decimal 3.142857
