5.3 Multiplication and Division with Negative Numbers
Multiplying and dividing with negative numbers is an important skill to possess. Let’s go through a calculator exploration to investigate what happens when you multiply by negative numbers.
Calculator Exploration—Multiplication with Negative Numbers
The calculator can be accessed on the left-hand side bar under Toolkit.
Activity: Multiplying Negative Numbers
Copy the following tables into your notebook. Then use the calculator to find the answers and see if you can spot any patterns that emerge.
Take your time, and remember to enclose each negative number in parentheses.
In the first solutions column, the numbers are going down by four each time, and in the second solutions column, the numbers are increasing by four each time.
Activity: What Happens Next?
Use the patterns in the tables to predict the answer to the next calculation in each sequence. Then, check your predictions using the calculator.
What number comes next in the sequence of answers?
(a) The next number in the sequence −4, −8, −12 is −16 and on the calculator .
(b) The next number in the sequence 4, 8, 12 is 16 and .
Now we’ll see if we can write some rules to help us remember this pattern.