Q3 of 67 Page 168

Consider all integers from –10 to 5, and square each of them. How many distinct numbers do you get?

Squares of all integers from -10 to 5:


(-10)2 = -10 × -10 = 100


(-9)2 = -9 × -9 = 81


(-8)2 = -8 × -8 = 64


(-7)2 = -7 × -7 = 49


(-6)2 = -6 × -6 = 36


(-5)2 = -5 × -5 = 25


(-4)2 = -4 × -4 = 16


(-3)2 = -3 × -3 = 9


(-2)2 = -2 × -2 = 4


(-1)2 = -1 × -1 = 1


02 = 0 × 0 = 0


12 = 1 × 1 = 1


22 = 2 × 2 = 4


32 = 3 × 3 = 9


42 = 4 × 4 = 16


52 = 5 × 5 = 25


There are 11 distinct numbers.


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