Key Concepts

Key Concepts

• Subtraction of Integers

  \(5–3\)	\(–5–\left(–3\right)\)
  \(2\)	\(–2\)
  2 positives	2 negatives
  When there would be enough counters of the color to take away, subtract.
  \(–5–3\)	\(5–\left(–3\right)\)
  \(–8\)	\(8\)
  5 negatives, want to subtract 3 positives	5 positives, want to subtract 3 negatives
  need neutral pairs	need neutral pairs
  When there would not be enough of the counters to take away, add neutral pairs.

• Subtraction Property
  • \(a-b=a+\left(\mathit{\text{−b}}\right)\)
  • \(a-\left(\mathrm{-b}\right)=a+b\)
• Solve Application Problems
  • Step 1. Identify what you are asked to find.
  • Step 2. Write a phrase that gives the information to find it.
  • Step 3. Translate the phrase to an expression.
  • Step 4. Simplify the expression.
  • Step 5. Answer the question with a complete sentence.