Question

PLEASE I REALLY NEED HELP :p

How is the additive inverse property used to subtract rational numbers?

Use the property to solve the following equations:
(-2) - 4 =
5 - (-5) =
7 + (-4) =

When you are multiplying or dividing integers, how can you determine the sign of the product? What if you are multiplying or dividing more than two numbers?

Write an equation using absolute value to show the distance between -65 and 15. Solve your equation.

Describe a real-world situation in which opposite quantities combine to make zero.


What are the associative and commutative properties? How can the associative, commutative, and additive inverse properties be useful when adding and subtracting rational numbers? Use the equation below to demonstrate these properties:

$25.00 -$15.00 -$37.00 +$ 50.00= balance in bank account

Answer 1

Answer: 1. The additive inverse of a number is what you can add to that number for the sum to be zero. For real numbers, such as rational numbers, that means the additive inverse can be found by just flipping the sign of the number. The additive inverse property says if you add a number and its additive inverse, then the sum is zero.

For example, let's use the number 3. The additive inverse of 3 is -3, since 3 + (-3) = 0. This is also true the other way around. The additive inverse of -3 is 3.

When subtracting rational numbers, remember that subtracting is the same as adding a negative! That means 3 - 3 is the same as 3 + (-3) or -3 - (-3) is the same as -3 + 3. Both of these sums involve a number and its additive inverse and they add up to zero.