Question

Which expression represents half the difference of four less

than a number?
A. 4-1/2n
B. 1/2n-4
C. 1/2(4 – n)
D. 1/2(n-4)

Answer 1

The expression representing 'half the difference of four less than a number' is ½(4 - n), which corresponds to option C. This regards proper translation of English phrases to mathematical notation, following the order of operations.

Step-by-step explanation:

The phrase 'half the difference of four less than a number' can be translated into a mathematical expression as follows:

1. 'Four less than a number' implies 4 subtracted from a variable, let's represent our number as 'n'. This part of the expression is '4 - n'.
2. Next, we take the 'difference of 4 and n', which remains as '4 - n'.
3. To find 'half of this difference', you divide it by 2. The complete expression is therefore ½(4 - n), which corresponds to option C in your list.

This expression accurately represents the phrase given. Remember, it is important to pay close attention to the order of operations when translating English phrases into mathematical expressions.