Near-doubles reasoning treats an addition fact with consecutive addends as a known doubles fact adjusted by one: can be found from or . This supports flexible recall of addition and related subtraction facts within 20 and develops decomposition and recombination of quantities; it does not include generalized strategies for larger numbers or formal algebraic treatment.
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When two numbers are next to each other, use a near-doubles fact. Start with the doubles fact you know, then add or subtract .
Example: Find .
Notice that and are next to each other.
Use the doubles fact .
Since is one more than , add :
Solve:
So,
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