Question

A mixed arithmetic expression contains all operands of the same type.
A. True.
B. False.

Answer 1

The claim that a mixed arithmetic expression must contain operands of the same type is false. Expressions can include a variety of operands like integers, fractions, and variables as long as the dimensions within the expression are consistent.

Step-by-step explanation:

The statement that a mixed arithmetic expression contains all operands of the same type is false. In mathematics, expressions can contain operands of different types, such as integers, fractions, and variables. For example, in the expression
`3/4 + 5x, 3/4` is a fraction and 5x involves a variable and an integer. It is important to mention that although expressions can have operands of different types, each term within an expression must make sense when combined with other terms.

This means that the equation or expression should have consistent dimensions or units. This principle is similar to the concept that you cannot add apples and oranges because they are different dimensions of fruit.The associative and commutative properties, such as

`A + B = B + A and A(B + C) = AB + AC`, demonstrate that the order of addition or the way you group terms does not affect the result for ordinary numbers or consistent terms within an expression.