Question

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

Answer 1

Add (4) and (−15) .(1 point)

Answer 2

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:
\[
(-3) + (-17) = -20
\]

Answer 3

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:
\[
4 + (-15) = -11
\]