<h2>
Positive and Negative Numbers on the Number Line</h2>
When we add two negative numbers, the result will be negative.
When we add a negative and a positive number, the result can be positive, negative, or equal to zero.
- Take the absolute values of both numbers (disregard their signs). If the number that was positive is greater, then the result will be positive.
- If the number that was negative is greater, then the result will be negative.
- If the two numbers are equal, then the result will be 0.
When we add two positive numbers, the result will be positive.
<h2>
Solving the Question</h2><h3><em>j</em> + <em>k</em></h3>
These are both negative numbers. We know this because they are both to the left of 0. When we add two negative numbers, we will get a result that is less than 0.
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<h3><em>k</em> + <em>n</em></h3>
<em>k</em> is a negative number while <em>n</em> is a positive number.
Notice that on the number line, <em>k</em> and <em>n</em> appear to be at a equal distance away from 0. This means that if we were to take their absolute values, they would be equal.
This means that adding <em>k</em> and <em>n</em> would result in an answer of 0.
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<h3><em>m</em> + <em>n</em></h3>
<em>m</em> is a negative number while <em>n</em> is a positive number.
Notice that on the number line, <em>n</em> appears to be further away from 0 than <em>m</em> is. <em>m</em> is very close to 0.
This means that the absolute value of <em>n</em> would be greater than that of <em>m</em>. The result would therefore be positive
<em />
<h3><em>k</em> + <em>m</em></h3>
Both these numbers are negative. Adding them would produce a negative result.
