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Earn +20 ptsQ: Are all terminating and repeating decimals rational numbers Explain?
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Are all terming and repeating decimals rational numbers explain?
Yes they are.A terminating number such as a.bcdef is equivalent to abcdef/1000000. A repeating number such as a.bcdbcd... is equivalent to abcd/999 [the number of 9s is the length of the repeating string of digits.] So, in both cases the number can be written in the form of p/q where p and q are integers and q > 0.
When writing a repeating decimal as a fraction does the number of repeating digits you use matter Explain.?
Yes, of course. Different denominators in the rational equivalent give rise to different lengths of repeating strings.
What is 0.5 repeating in fraction in simplest form explain?
It is 5/9 because it is equivalent to 0.55555...repeating
Is 0.0400040004 a rational number explain your reasoning?
It is rational because it can be expressed as the ratio 400040004/10000000000.
How do you write three fifths as a repeating decimal explain?
.6
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