Use properties of operations to add (–3) and (–17). (1 point)

3 answers

To add \(-3\) and \(-17\), we can use the properties of operations, particularly the property of addition which states that adding two negative numbers results in a more negative number.

So, we can add \(-3\) and \(-17\):

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

Now, we calculate \(3 + 17\):

\[ 3 + 17 = 20 \]

Thus,

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

Therefore, \((-3) + (-17) = -20\).

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

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

  1. Identify the Numbers: We have two negative numbers, \(-3\) and \(-17\).

  2. Use the Property of Addition for Negatives: The property of adding two negative numbers says that the sum is negative and equal to the sum of their absolute values.

  3. Calculate the Sum of Absolute Values:

    • The absolute value of \(-3\) is \(3\).
    • The absolute value of \(-17\) is \(17\).
    • Add these absolute values together: \(3 + 17 = 20\).
  4. Apply the Negative Sign: Since both original numbers were negative, the sum will also be negative: \[ (-3) + (-17) = -20 \]

Thus, the result of adding \(–3\) and \(–17\) is:

\[ \boxed{-20} \]