Problem 298
Study the following diagram:
i. Characteristics of addition that are different from multiplication
ii. Characteristics that are common to both operations
iii. Characteristics of multiplication that are different from addition
a. Complete the diagram to illustrate how the characteristics of multiplication and addition of whole numbers compare.
b. Prepare a similar diagram for subtraction and division.
Solution
a.
i. The identity symbol for addition is the zero and identity symbol for multiplication is one.
ii. Multiplication and addition are associative, commutative, closure and have an identity property
iii. Multiplication has a distributive and zero property, addition does not.
b.
