Darcy and Tonya are studying for an exam. Darcy says, "The square of a number is always greater than the number." Tonya disagrees. Who is correct? Explain your answer.
2006-08-30 16:01:39 · 5 answers · asked by shelbysurfer 1 in Education & Reference ➔ Homework Help
also, think of fractions. (1/2)^2 = 1/4!! that is smaller than 1/2, or 2/4. therefore, the square is not ALWAYS going to be greater
2006-08-30 16:06:18 · answer #1 · answered by sasmallworld 6 · 1⤊ 0⤋
With the exception of 0 and 1, the statement is correct. 0^2 = 0*0 = 0 which is not greater than 0. 1^2 = 1*1 = 1 which is not greater than 1. Any negative number squared will be a positive number (by definition) and any positive number is greater than any negative number (by definition). Any positive number 2 or greater squared will be greater than the number itself (by simple observation).
2006-08-30 16:11:14 · answer #2 · answered by Anonymous · 0⤊ 1⤋
What is 1 squared? Is that number greater than 1?
You can figure this out, just put some effort into it.
2006-08-30 16:05:10 · answer #3 · answered by Gypsy Girl 7 · 1⤊ 0⤋
Tonya....any number from 1 to Zero ( ex. .5) squared is smaller (.5 x .5 = .25)
2006-08-30 16:11:16 · answer #4 · answered by Michael O 2 · 0⤊ 1⤋
tonya is correct becuase 1 squared is 1.
2006-08-30 16:04:48 · answer #5 · answered by Anonymous · 1⤊ 0⤋