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Polynomials

Question

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Write the following in decimal form and say what kind of decimal expansion each has:

$4 1 over 8$

Solution

4 1 over 8

4 1 over 8 equals fraction numerator 4 cross times 8 plus 1 over denominator 8 end fraction equals fraction numerator 32 plus 1 over denominator 8 end fraction equals 33 over 8

8 space right parenthesis space 33.000 space left parenthesis 4.125 space space space space bottom enclose space 32 space end enclose space space space space space 10 space space space space space bottom enclose thin space space 8 thin space space end enclose space space space space space space 20 space space space space space space space bottom enclose thin space thin space thin space 16 thin space thin space thin space end enclose space space space space space space space space 40 space space space space space space thin space bottom enclose thin space space 40 thin space thin space thin space end enclose space space space space space space space space space space space x therefore space space 4 1 over 8 equals 4.125

The decimal expansion is terminating.

Some More Questions From Polynomials Chapter

Find two rational numbers between 0.1 and 0.2.

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