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MATH HIDE & SEEK PRO • SOL 6.CE.2 🚫 No Calculator

Integer Operations • Zero Pairs • Absolute Value • Word Problems

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6.CE.2a (Models): 0/0 6.CE.2b (Ops): 0/0 6.CE.2c (|x|): 0/0 6.CE.2d (Word): 0/0 TOTAL: 0/0 (0%)

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SOL 6.CE.2
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💡 Virginia SOL Standard 6.CE.2 Reference & Strategy Guide

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1. Integer Addition & Subtraction Rules (+, -)

  • Addition with Same Signs: Add absolute values and keep the common sign. Example: (-5) + (-4) = -9.
  • Addition with Different Signs: Subtract smaller absolute value from larger, and keep the sign of the larger absolute value. Example: (-27) + 39 = 12.
  • Subtraction (Add the Opposite): Keep the first number, change subtraction to addition, and change the sign of the second number (Keep-Change-Change). Example: -30 - (-17) = -30 + 17 = -13 or -345 - 61 = -406.

2. Integer Multiplication & Division Rules (×, ÷)

  • Same Signs: Result is ALWAYS POSITIVE (+). Example: (-8) × (-9) = +72 and (-45) ÷ (-5) = +9.
  • Different Signs: Result is ALWAYS NEGATIVE (-). Example: (-4) × 7 = -28 and 63 ÷ (-7) = -9.

3. Two-Color Counters & Zero Pairs

Yellow counters represent positive (+1) and Red counters represent negative (-1). A Zero Pair is formed when 1 positive and 1 negative counter combine to equal 0.

+1
+
-1
= 0 (Zero Pair)

4. Absolute Value Concept |x| & Distance on Number Line

  • Absolute Value Definition: The distance a number is from zero on a number line. Distance is ALWAYS non-negative. Example: |-12| = 12.
  • Distance Between Two Points: The distance between two points a and b is given by |a - b|. Example: Distance between -16 and 8 is |-16 - 8| = |-24| = 24.
  • Outer Negation: If a negative sign is outside absolute value bars, evaluate inside first, then apply outer sign: -|-8| / 2 = -8 / 2 = -4.

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