Question

circle t or f, to answer true or false. 1) t / f: a positive number times a negative number equals a positive number. 2) t / f: a positive number divided by a positive number equals a positive number. 3) t / f: absolute value means to do the opposite of what is inside of the bars.

Explanation:

1. Recall the rule of multiplication of signed - numbers: positive $\times$ negative = negative. So a positive number times a negative number is negative, not positive.
2. Recall the rule of division of signed - numbers: positive $\div$ positive = positive. A positive number divided by a positive number equals a positive number.
3. Recall the definition of absolute value: The absolute value of a number makes it non - negative. It does not mean doing the opposite of what is inside the bars (except when the number inside is negative). For example, $|5| = 5$ and $|-5|=5$.

Answer:

1. F. A positive number times a negative number equals a negative number.
2. T. A positive number divided by a positive number equals a positive number.
3. F. Absolute value makes a number non - negative, not the opposite (except for negative numbers inside the absolute - value bars).