Question

Which number line model represents the expression 3 1/2 + (-6)?

a) -2.5
b) -3.5
c) -1.5
d) -4.5

Answer 1

The number line model that represents the expression 3 1/2 + (-6) is a horizontal line at -2.5, which corresponds to option (a).

Step-by-step explanation:

The question asks which number line model represents the expression 3 1/2 + (-6). To find the answer, first convert the mixed number to an improper fraction. So, 3 1/2 is the same as 7/2. Now, add this to -6, which gives us 7/2 + (-6). Since -6 can be written as -12/2, we combine the two to get -5/2, or -2.5 when converted to a decimal. Therefore, the correct representation on a number line would be a horizontal line at some negative value which corresponds to the answer (a) -2.5.