1. Explain the difference between (-3)^2 and -3^2.
2. Explain the difference between -23 subtracted from 17, and -23-17.
I have no idea what to do I am so lost :(
(-3)^2 = (-3)(-3) = +9
-3^2 = -(3^2) = -9
Review the order of operations.
-23 subtracted from 17 is 17-(-23) = 17+23 = 40
-23-17 is 17 subtracted from -23 = -40
Get out your number line and review how to do subtractions and negative values.
oh my gosh thank you so much!!!!!
explain the difference of [-3] and -3
I'm sorry to hear that you're feeling lost, but don't worry, I'm here to help you understand! Let's break down both questions step by step:
1. Difference between (-3)^2 and -3^2:
In math, an exponent indicates the number of times a base number should be multiplied by itself. Here, we have two expressions: (-3)^2 and -3^2.
(-3)^2 means that we have to square the value inside the parentheses, which is -3:
(-3)^2 = (-3) x (-3) = 9.
On the other hand, -3^2 means that we square the value of 3 and then multiply it by -1:
-3^2 = -(3 x 3) = -(9) = -9.
So, the key difference is the placement of the negative sign. In the first expression, the negative sign is squared along with the number, resulting in a positive value of 9. In the second expression, 3 is squared first, resulting in 9, and then the negative sign is applied to that value, giving us -9.
2. Difference between -23 subtracted from 17 and -23 - 17:
When we subtract one number from another, we calculate the difference between them. In this case, we have -23 subtracted from 17, and -23 - 17.
-23 subtracted from 17 means that we start with 17 and then subtract the value of -23. To find the answer, we can simply perform the subtraction:
17 - (-23) = 17 + 23 = 40.
On the other hand, -23 - 17 means that we subtract 17 from -23. Again, we can perform the subtraction to find the answer:
-23 - 17 = -40.
So, the key difference is the order in which the numbers are subtracted. In the first expression, we subtract -23 from 17, resulting in a positive value of 40. In the second expression, we subtract 17 from -23, resulting in a negative value of -40.
Remember, understanding math concepts takes practice, so keep studying and asking questions!