product of a number and its reciprocal is increased by 7 | MathCelebrity Forum

product of a number and its reciprocal is increased by 7

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product of a number and its reciprocal is increased by 7

The phrase a number means an arbitrary variable, let's call it x:
x

Its reciprocal means we take the reciprocal of x:
1/x

product of a number and its reciprocal:
x * 1/x
x/x

The x's cancel giving us:
1

is increased by 7 means we add 7:
1 + 7
8
 
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