Question

Which number line model represents the expression 1.5(−4)?

1.A number line with -6, -4.5, -3, -1.5, 0, 1.5.
2.A number line with -2, -3, -4, -5, -6.
3.A number line with 0, -1.5, -3, -4.5, -6.
4.A number line with -1.5, -3, -4.5, -6, -7.5.

Answer 1

The expression 1.5(-4) results in -6, and the corresponding number line model should show a progression to -6, which is represented by the third option: a number line with 0, -1.5, -3, -4.5, -6.

Step-by-step explanation:

The expression 1.5(−4) involves multiplying a positive number by a negative number, which according to the multiplication rules for signs, the answer will have a negative sign. To calculate the expression, you multiply 1.5 by 4 to get 6, and then since one of the numbers is negative, the result will also be negative, yielding −6.

Therefore, we are looking for a number line that includes the value −6. The correct number line model for the expression 1.5(−4) is one that includes the points 0, −1.5, −3, −4.5, and −6, which corresponds to the third option in the list provided.