**The Sign Rule:**

**When multiplying integers with the same value (+ or -), or for example (-2) x (-2) = the product will always end up being positive****When the value of the integers are different (+,-) or for example (+2) x (-3)= the product will always end up being negative.**

**Another way:**

**1) When you have an even amount of (-) signs, the product will end up being positive.**

**(-4) x (-2) x (-1) = -8**

**|_______|**

**+8 x (-1) = -8**

**2) When there is an odd number of (-) signs, the product is negative.**

**(-2) x (4) = -8 <----(++++) (++++)--->**

**remove 2 groups of 4 = -8 - - - - - - - -**

**Now, these are a few questions that I've solved using the sign rule : Math Links 8.2**

**17.**Question: Without evaluating the products, identify the least product. Explain your reasoning.

(+99) x (+82)

(-99) x (-82)

(+99) x (-82)

To answer this question, I chose (+99) x (-82) because if you recognize the sign rule, you know that when you multiply two integers with different signs, you get a negative. In this case, I didn't have to calculate it because I just saw the signs and I already know it's going to be a negative.

**9.**Question: Determine each product.

**a)**(-6) x (-6) = +36

I know that because if you multiply 6 x 6, you get 36. Also, they have the same signs and that means they are positive.

**b)**(+9) x (+6) = +45

**c)**(-12) x (+2) = -24

I know this because if you multiply 12 x 2, you get 24. Also, they have different integers and based on the "sign law/rule", when there are two different signs they are going to end up being negative.

**d)**(+11) x 0 = 0

I really like your scribe I understood clearly on what I had to do, but next time could you include a video too. You don't have too, it's just a suggestion.

ReplyDeleteGreat job explaining what to do, it's easy to understand and your pictures made it easy to understand, don't forget to add a video. I also liked how you did multiple questions so we have more reference to the concept.

ReplyDelete