Question

Which addition equation matches the number line?

a. (1 + 3 - 2 = -2)

b. (2 + (-2) + 3 - 1 = 2)

c. (3 + (-25) = -1 + (-2))

d. (3 + (-1) = 2)

Answer 1

The addition equation that matches the number line is (c) 3 + (-25) = -1 + (-2).

Step-by-step explanation:

The addition equation that matches the number line is (c) 3 + (-25) = -1 + (-2).

We can verify this by comparing the behavior of positive and negative numbers when added:

• When two positive numbers add, the answer has a positive sign. For example, 3 + 2 = 5.
• When two negative numbers add, the answer has a negative sign. For example, -4 + (-2) = -6.
• When two numbers with opposite signs add, subtract the smaller number from the larger number, and the answer has the sign of the larger number. For example, -5 + 3 = -2.

Based on these rules, the equation (3 + (-25) = -1 + (-2)) matches the behavior of numbers on a number line.