Adding & Subtracting Rational Numbers
Subtracting a number means adding its opposite; same signs keep the sign, different signs take the larger absolute value's sign
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Subtracting a number means adding its opposite; same signs keep the sign, different signs take the larger absolute value's sign
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Two steps unlock rational number arithmetic: first turn subtraction into addition — subtracting a number equals adding its opposite; second decide the sign — same signs keep the sign and add absolute values, different signs take the sign of the larger absolute value and subtract. Walk both journeys on the number line and the sum is clear.
Join two journeys on the number line to add rational numbers: walk from 0 to a, then walk the second number. Convert subtraction to addition first, then apply the sign rules — same signs keep the sign and add absolute values, different signs take the sign of the larger absolute value. Random expressions with negatives, replayable again and again.