Question

complete the equation for this model.
number line from -10 to 0, with a blue arc from -4 to -8, arrow pointing left
□ + □ = □

Explanation:

Step1: Identify starting point

The arrow starts at -4 (since the end of the arc is at -4, and it's moving left? Wait, no, the arrow direction: the arc goes from -4 to -8? Wait, the number line: the points are -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0. The blue arc starts at -4 and moves left to -8? Wait, the length: from -4 to -8, the distance is 4 units left (since -4 - 4 = -8). So the operation is adding a negative number (or subtracting a positive). So the initial number is -4, and we add -4 (because moving left 4 units on the number line is adding -4). So -4 + (-4) = -8? Wait, no: wait, the direction of the arrow. Wait, the arrow is pointing left, so from -4, moving left 4 units (since from -4 to -8 is 4 units left). So the equation is -4 + (-4) = -8? Wait, let's check the number of units. From -4 to -8: the difference is -8 - (-4) = -4, so the change is -4. So starting at -4, adding -4 (or subtracting 4) gives -8. So the equation is -4 + (-4) = -8? Wait, no, maybe I got the starting point wrong. Wait, the arc is from -4 to -8? Wait, the number line: the marks are at -10, -9, -8, -7, -6, -5, -4, etc. The blue arc is drawn from -4 (the right end) to -8 (the left end), with an arrow pointing left at -8. So the movement is from -4 to -8, which is a change of -4 (since -4 + x = -8, so x = -8 - (-4) = -4). So the equation is -4 + (-4) = -8? Wait, no, maybe the starting point is -8? Wait, no, the arrow direction: the arc is from -4 to -8, and the arrow is at the left end (-8), so the operation is starting at -4, moving left 4 units (adding -4) to get to -8. So the equation is -4 + (-4) = -8? Wait, let's count the units between -4 and -8: from -4 to -5 is 1, -5 to -6 is 2, -6 to -7 is 3, -7 to -8 is 4. So 4 units left. So the change is -4. So starting at -4, add -4: -4 + (-4) = -8. So the blanks are -4, -4, -8.

Step2: Verify the equation

Check: -4 + (-4) = -8. Yes, because adding two negative numbers: 4 + 4 = 8, so -4 + (-4) = -8. And on the number line, moving 4 units left from -4 lands at -8.

Answer:

-4 + (-4) = -8 (So the first blank is -4, second is -4, third is -8)