Question

Select from the drop-down menus to correctly complete each statement. The opposite of −35/8 is on the side of zero on a number line as −35/8 . The opposite of 42/9 is on the side of zero on a number line as 42/9 .

Answer 1

The opposite of −35/8 is on the positive side, and the opposite of 42/9 is on the negative side of zero on a number line. These opposites represent the distance from zero in opposite directions.

Step-by-step explanation:

The opposite of a number is found by changing its sign. If a number is positive, its opposite is negative, and vice versa.

So, for the fraction −35/8, which is negative, its opposite would be positive; therefore, the opposite of −35/8 is on the positive side of zero on a number line.

Conversely, the opposite of 42/9, which is positive because when two positive numbers divide, the result is positive, would be on the negative side of zero on a number line.

The concept of opposites in mathematics relates to the idea that any non-zero number has an additive inverse, which when added to the original number will result in zero

This is visually represented on a number line: if one number is a certain distance from zero, its opposite is the same distance from zero in the opposite direction.