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Characteristics of a Place-Value System in Base x. The number of symbols is equal to x The value of each place is a power of x The value is x times the value of the previous place Each place contains one symbol When a place is “full,” we regroup
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Characteristics of aPlace-Value System in Base x • The number of symbols is equal to x • The value of each place is a power of x • The value is x times the value of the previous place • Each place contains one symbol • When a place is “full,” we regroup • The value of a symbol depends on its place • The value of a number is determined by multiplying each symbol by its place value and adding these products • Zero represents an empty place; 0 is a number