Multiply Integers: Understanding the Rule and Proof

This video tutorial explains how to multiply positive and negative integers, demonstrating with examples like +5 * -3 and -2 * +6. It uses integer counters to prove the rules and discusses the commutative property. The video also explains zero pairs and how they help in understanding multiplication with negative numbers. The conclusion reinforces the rule that multiplying a positive by a negative results in a negative product.

What is the result when you multiply a positive integer by a negative integer?

• Positive

• Undefined

• Negative

• Zero

If you multiply -2 by +6, what will the product be?

• -6

• -12

• +12

• +6

What does the expression +5 * -3 represent using integer counters?

• Three groups of +5

• Three groups of -5

• Five groups of -3

• Five groups of +3

How can the commutative property be used in the expression -2 * +6?

• By changing the order to -2 * -6

• By changing the order to +2 * -6

• By changing the order to -6 * +2

• By changing the order to +6 * -2

What is a zero pair in the context of integer counters?

• One positive counter

• Two positive counters

• Two negative counters

• One positive and one negative counter

What does a negative sign in the first term of a multiplication expression indicate?

• To divide groups

• To remove groups

• To add groups

• To multiply groups

Why is it easier to remember the rule for multiplying integers rather than using counters?

• The rule is simpler and faster

• Counters are more accurate

• The rule is less reliable

• Counters are more visual