Question

Which equation is shown on the number line below?

-10 -9 -8 -7 6 5 4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

a) 8 + (-4) = 4
b) (-8) + (-4) = (-12)
c) 4 + (-8) = -4
d) (-4) + (-8) = (-12)

Answer 1

The question requires matching an equation to a number line. To find which equation corresponds to the number line, we need to apply rules of adding integers with different signs and then see where the resulting number falls on the number line.

Step-by-step explanation:

The question asks us to identify which equation is illustrated by a number line. In this task, we have to determine the result of adding two integer values together and match that result to one of the provided options on a number line.

Adding integers involves certain rules:

• When two positive numbers add, the result is positive.
• When two negative numbers add, the result is negative.
• When adding two numbers with opposite signs, subtract the smaller number from the larger number, and the result takes the sign of the larger number.
• In subtraction, change the sign of the number being subtracted and follow the addition rules.

Reviewing the options given in the question:

1. 8 + (-4) = 4: This is equivalent to moving 4 steps to the left from the position of 8 on the number line, which would land on 4.
2. (-8) + (-4) = (-12): This is equivalent to moving 4 steps to the left from the position of -8 on the number line, resulting in -12.
3. 4 + (-8) = -4: This is equivalent to moving 8 steps to the left from the position of 4 on the number line, which would land on -4.
4. (-4) + (-8) = (-12): This is equivalent to moving 8 steps to the left from the position of -4 on the number line, resulting in -12.