estrella7777
19.09.2019 •
Mathematics
Mike and beth both write the decimal 0.8 (0. a fraction. mike: 45 beth: 89 which student wrote the correct fraction? how do you know that student is correct? describe a mistake that could have been made by the student who wrote the incorrect fraction. (5 points)
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Ответ:
see the explanation
Step-by-step explanation:
we have
0.888...
This is a repeating decimal (Is a decimal that has a digit, or a block of digits, that repeat over and over and over again without ever ending)
Convert to fraction number
Let
x=0.888...
10x=8.888...
Subtract 0.888... from 8.888... to remove the decimal
10x-x=8.888...-0.888...
9x=8
Solve for x
x=8/9
therefore
Mike fraction is incorrect
because 4/5=0.8
0.8 is a terminating decimal (It's a decimal with a finite number of digits)
Mike's mistake was considering the number as a terminating decimal instead of a repeating decimal
Beth is correct
because
If you divide 8/9
the result is 0.8888888...
Ответ:
no
Step-by-step explanation:
suffer