Multiply two integers that have different signs

To multiply a positive integer and a negative integer,multiply their absolute values.Then make the final answer negative.

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Views #: 278
Questions #: 18
Time: 10 minutes
Pass Score: 80.0%
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Rule of Signs

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True or False: The product of a positive integer and a negative integer is always a negative integer.

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Basic Multiplication

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Find the product: \( 7(-4) \)

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Defining the Process

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To multiply two integers with (1) signs, we multiply their absolute values and then make the product (2).

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Repeated Addition Concept

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Which expression represents the repeated addition: \( (-5) + (-5) + (-5) \)?

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Signs Order

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Evaluate: \( -8 \times 6 \)

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Sort by Value

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Please drag and drop the options to sort them

Sort these expressions from the smallest value (most negative) to the largest value.

5(-4)
2(-3)
10(-1)
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Real-world Application

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The temperature dropped 3 degrees every hour for 4 hours. Which integer represents the total change?

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Identify Negative Products

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Select all expressions that will result in a negative number.

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Calculate

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 \( 9 \cdot (-3) \) = (1)

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Multiplication Identity Property

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True or False: \( 1 \times (-15) = 15 \)

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Rule of Signs for Multiplication

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To multiply two integers with different signs, we multiply their (1) and then make the product (2).

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absolute values
negative
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Multiplying Integers with Different Signs

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Find the product: \( 7(-4) \)

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Multiplying Integers with Different Signs

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Find the product: \( -8 \cdot 6 \)

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Self Check: Different Signs

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Multiply: \( 5(-9) \)

Answer = (1)

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Self Check: Different Signs

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Multiply: \( -10 \cdot 7 \)

Answer = (1)

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Repeated Addition Concept

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Multiplication can be thought of as repeated addition. The expression \( 3(-5) \) is the same as:

 

 
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Classify the Sign of the Product

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Expressions
×9(-2)
×-5(4)
×12(-1)
×8(-10)
Positive
Negative

Classify the following expressions based on whether their result will be positive or negative.

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General Multiplication Rule

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True or False: When multiplying two integers, if the signs are different, the answer is negative.

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Keywords
Year 8