SOLUTION: Based on the example 4^2 = and (-4)^2, David reached the following conclusions: "The square of a number is always greater than the number." Is David correct? If yes, justify your a

Algebra.Com
Question 449601: Based on the example 4^2 = and (-4)^2, David reached the following conclusions: "The square of a number is always greater than the number." Is David correct? If yes, justify your answer. If no, provide a counterexample
Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
No.
(1/4)^2=1/16

RELATED QUESTIONS

the sum of two numbers is always greater than the larger number. find a counter... (answered by richard1234,chessace)
complete the conjecture based on the pattern you observe in the specific case.... (answered by richard1234)
Given that Z is a standard normal variable, the variance of Z (1) is always greater than (answered by MathLover1)
the square root of a number × is always less than... (answered by stanbon)
3. Determine whether the following statements are always true·, sometimes true and never (answered by Glaviolette)
Jane is thinking of a number between -10 and 10. If you multiply Jane’s number by -2,... (answered by Boreal)
What are the odds of drawing a number greater than 2 from the following cards? 1 2 (answered by lynnlo)
Can someone walk me through this Statistics are sometimes used to compare or identify... (answered by CubeyThePenguin)
A school provides bus service only to students who live a distance greater than 2 miles... (answered by ewatrrr)