Use properties of operations to add (−3) and (−17) ..

3 answers

To add \((-3)\) and \((-17)\) using properties of operations, we can follow these steps:

  1. Associative Property of Addition: This property states that the way in which numbers are grouped does not change their sum. However, in this case, we're only adding two numbers.

  2. Commutative Property of Addition: This property states that the order in which two numbers are added does not change their sum. Again, for two numbers, this doesn't change anything.

  3. Adding the Numbers: We can simply add the two negative numbers together: \[ (-3) + (-17) = -3 - 17 \] When adding two negative numbers, we can think of it as taking away from a number line.

  4. Now, adding the absolute values: \[ 3 + 17 = 20 \] Since we’re working with negative values: \[ -3 + (-17) = -20 \]

Thus, the final result is: \[ (-3) + (-17) = -20 \]

Add (4) and (−15) .(1 point)

To add \(4\) and \(-15\), you can follow these steps:

  1. Understand the operation: When you add a positive number and a negative number, you subtract the absolute value of the negative number from the positive number.

  2. Perform the calculation: \[ 4 + (-15) = 4 - 15 \]

  3. Calculate: \[ 4 - 15 = -11 \]

Thus, the result of adding \(4\) and \(-15\) is: \[ 4 + (-15) = -11 \]