Final answer:
The correct number sentence representing starting at -2, rolling a 4 first, and then a 2 on a number cube is -2 - 4 + 2 = -4.
Step-by-step explanation:
The question concerns a scenario where a student starts at a position of -2 on a number line, rolls a number cube (die) twice, moving left after the first roll and right after the second roll.
The first roll results in a 4, and the second roll results in a 2.
To represent this situation mathematically, we consider the starting position as -2, the movement to the left as subtraction, and the movement to the right as addition.
The number sentence that represents this operation is: Starting Position + First Roll - Second Roll, which translates to: -2 - 4 + 2.
Step by step, we start at -2, move 4 units to the left (which is subtracting from our position), so now we are at -6.
Then, from there, we move 2 units to the right (which is adding to our position) ending at -4.
Therefore, the number sentence is: -2 - 4 + 2 = -4.