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MATH IN DEMAND
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MATH IN DEMAND

Multiplying Integers

Objectives:​​
  • Determine the product of two or more integers.

Multiplying Integers using Rules

We can multiply integers by using the multiplication rules. These rules are:
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The image below is a way that can help us remember the multiplication rules.

​When the sign is the same, we are happy! If the signs are different, we are NOT happy!
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Now, what if we multiply multiple integers together? For example, what if I multiplied a positive number of integers together. For example, if I multiple the following 4 negative integers together...

(-1) x (-1) x (-1) x (-1)

Would the product be positive or negative?

What about if I multiplied a negative number of integers together, For example, if I multiple the following 5 negative integers together...

(-1) x (-1) x (-1) x (-1) x (-1)

Would the product be positive or negative?
​
Lets explore this below!

Multiplying Multiple Integers

First, lets look at the product of 4 negative integers.
From earlier, we know that the product of two negatives is positive. We can apply this knowledge when multiplying multiple integers together. So,
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From above, we can see that the product of 4 negatives is positive. 
​This shows us that if we have an even amount of negatives then the product will always be positive.
Lets take a look at another example. Lets consider the product of 5 negative integers. If we apply the multiplication rules from above, we can see that...
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From above, we can see that the product of 5 negatives is negative. 
​This shows us that if we have an odd amount of negatives then the product will always be negative.
The table below shows us that there is a pattern when multiplying by a certain amount of negative integers.
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We can see that if we are given a positive number of negatives then the product will be positive. If we are given a negative number of negatives then the product will be negative.

Examples

Determine the product of the following:
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Click HERE to check your answers

Quiz

You will take the quiz after you have researched and taken notes.

​CLICK HERE FOR QUIZ
(C) 2025 MATH IN DEMAND​