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Whole Numbers Class 6

Verified Answer

Whole numbers, as taught in Class 6 mathematics, are the set of natural numbers including zero non-negative integers with no fractions or decimals.

  • Set of Whole Numbers: W = {0, 1, 2, 3, 4, 5, ...}
  • Natural Numbers: N = {1, 2, 3, ...} — whole numbers add 0 to this set
  • Smallest whole number: 0 - No largest whole number
PropertyExample
Closure under addition3 + 4 = 7 (a whole number)
Closure under multiplication3 × 4 = 12 (a whole number)
Commutative2 + 3 = 3 + 2
Associative(1+2)+3 = 1+(2+3)
Additive identitya + 0 = a
Multiplicative identitya × 1 = a

Not whole numbers: fractions (½), negative integers (-3), decimals (2.5). Whole numbers are represented on a number line starting from 0, moving right in equal intervals.