# Numerical Concepts : Definitions

Please explain or define these concepts.

1. Natural number

2. Multiplication

3. Subtraction

4. Closure for addition

5. Commutativity

6. Associativity

7. Distributivity

8. Closure for multiplication

9. Contrast commutativity and associativity

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#### Solution Preview

1. N = {1, 2, 3. .. } these are just the counting numbers

2. multiplication is a basic arithmetic operation

for natural numbers m, and n, multiplication of m and n is the repeated sum of the other number

mn = n + .. + n (m times)

equivalently,

mn = m + .. + m (n times)

3. subtraction is ...

#### Solution Summary

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