Question

1. $-4 + (-2) = \underline{\quad\quad}$

(number line from -8 to 0 with ticks at -8, -7, -6, -5, -4, -3, -2, -1, 0)

Explanation:

Step1: Recall the rule for adding negative numbers

When adding two negative numbers, we add their absolute values and keep the negative sign. So, for \(-4 + (-2)\), we first find the absolute values of \(-4\) and \(-2\), which are \(4\) and \(2\) respectively.

Step2: Add the absolute values

Add the absolute values: \(4 + 2 = 6\).

Step3: Apply the negative sign

Since both numbers are negative, the result will be negative. So, \(-4 + (-2)=-(4 + 2)=-6\). We can also verify this using the number line. Starting at \(-4\), moving \(2\) units to the left (because we are adding a negative number, which is equivalent to subtracting a positive number) lands us at \(-6\).

Answer:

\(-6\)