When I type it on my scientific calculator without the ( ), it gives me 4. But on my TI calculator and I type in the ( ), it gives me -4. Which one is correct?
Don't trust your calculators on this. You can pick up a bunch of different calculators and type it in without the parentheses and most of them will be right (-4) but some of them will output 4, the wrong answer. It all comes down to programming. Depending on how the calculator is programed -2 could be taken to be a single character, meaning that -2² and (-2)² come out the same, which they're not.
Answers & Comments
Verified answer
The answer is 4.
Try typing in -2 * -2
you should get 4.
When you do the squaring operation ², you need to make sure that the negative sign is inside the parentheses.
Another way to look at the problem is:
-2 * -2 = -1 * 2 * -1 * 2
= -1 * -1 * 2 * 2
= (-1 * -1) * 4
Now what happens when we multiply -1 * -1?
= (1) * 4
= 4
-2² = -(2)(2) = -(4) = -4
(-2)² = (-2)(-2) = 4
Don't trust your calculators on this. You can pick up a bunch of different calculators and type it in without the parentheses and most of them will be right (-4) but some of them will output 4, the wrong answer. It all comes down to programming. Depending on how the calculator is programed -2 could be taken to be a single character, meaning that -2² and (-2)² come out the same, which they're not.
4
when squaring a negative # in parentheses, the answer will always be positive. without parentheses, the calculater will think you are doing
-(2)^2 which is -4.
this is pretty much (-2)(-2), which is 4.
my math teacher stressed on this when we were learning it d:
(-2)² = the whole number (-2) being squared by itself.
-2² = the whole number (2) being squared by itself
4
ti adds the - after squaring so it doesn't include - in parenthesis
surely you can work this out for yourself
what is (-1)(-1)?