Integer Operations Flashcards

Grade 6 · Math · Flashcards

Essential rules and vocabulary for working with positive and negative integers.

Flashcards

Integer: Whole numbers and their opposites including zero: ...-3,-2,-1,0,1,2,3...
Absolute value: Distance from zero — always non-negative. |−6|=6, |6|=6
Opposite / Additive inverse: The number that sums to zero with another — opposite of -4 is 4
Adding: same signs: Add the absolute values, keep the shared sign — (-5)+(-3) = -8
Adding: different signs: Subtract absolute values, use sign of the larger — (-7)+4 = -3
Subtracting integers (KCC): Keep, Change, Change — rewrite as addition of the opposite
5 - (-3) =: 8 — because subtracting -3 becomes adding +3
Multiply/divide: same signs: Result is POSITIVE — (-4)×(-6)=24, (-12)÷(-3)=4
Multiply/divide: different signs: Result is NEGATIVE — 5×(-3)=-15, (-20)÷4=-5
Zero product: Any integer multiplied by 0 equals 0 — even negative integers
Negative × Negative = ?: Positive — two negatives always produce a positive product
Number line: negative direction: Moving left on the number line decreases the value
Number line: positive direction: Moving right on the number line increases the value
|-15| = ?: 15 — absolute value removes the sign, giving only the distance from zero