Question

integer multiplication rule reference:
\\((+)(+) = (+)\\)
\\((+)(-) = (-)\\)
\\((-)(+) = (-)\\)
\\((-)(-) = (+)\\)

evaluate the following equations. show your work where necessary.

\\(3 + (-2) =\\)

\\(-2 + 5 =\\)

Explanation:

Identify the given expression

The problem asks us to evaluate the expression:

$$ -2 + 5 = $$

Locate the starting point

To solve this using the number line, we start at the first number, which is \(-2\).

Move along the number line

Adding a positive number means moving to the right. We move \(5\) units to the right from \(-2\):

$$ -2 \xrightarrow{+1} -1 \xrightarrow{+1} 0 \xrightarrow{+1} 1 \xrightarrow{+1} 2 \xrightarrow{+1} 3 $$

Determine the final value

After moving \(5\) units to the right, we land on \(3\).
Therefore:

$$ -2 + 5 = 3 $$

Answer:

Evaluate the following equations. Show your work where necessary.

\( -2 + 5 = \) <blank>3</blank>