Q3 of 67 Page 97

How many perfect cubes you can find from 1 to 100? How many from –100 to 100?

13 = 1


23 = 8


33 = 27


43 = 64


⇒ There are 4 cubes from 1 to 100.


0 = 0


(−1)3 = −1


(−2)3 = −8


(−3)3 = −27


(−4)3 = −64


∴ There are 9 cubes from −100 to 100.


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1

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