Counting on is adding forward using fingers, when the number added is under ten. Counting back subtracting using fingers, when the number subtracted is under ten.
Rounding and compensating is rounding the added or subtracted number to the nearest tidy number, then compensating for the rounding. Compensating is done by spliting the new number into the old number and the left over.
Counting on/back and rounding and compensating are easy strategies to use for addition and subtraction, when the numbers get too big to be solve with basic facts.
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