Problem 25 - Elementary Algebra

Question

Find the sums. \((-6)+(-20)\)

Step-by-Step Solution

Answer

Answer: The sum is \(-26\).

Step 1: Identify the problem

The problem requires us to find the sum of two negative numbers, \((-6)\) and \((-20)\).

Step 2: Rule for adding negative numbers

When we are adding two negative numbers, the result will be a negative number with a greater absolute value (a number that is further from zero). The rule for adding negative numbers can be remembered as: \((-a)+(-b) = -(a+b)\)

Step 3: Apply the rule

Applying the rule to our problem, let \(a=6\) and \(b=20\). We have: \((-6)+(-20) = -(6+20)\)

Step 4: Perform the addition

Now, we just need to add the numbers inside the parentheses: \(-(6+20)=-(26)\)

Step 5: Write the final answer

The sum of \((-6)\) and \((-20)\) is \(-26\).