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Direction: Multiplying Integers

Answer:

In your activity, you're going to Multiplying an Integers.

Here's the rules you must follow when Multiplying an Integers:

  • First of all and most of the people know this rule, when there's two 'Positive Signs' on the number. The answer/result is also a 'Positive Number'.

  • If the numbers has two 'Negative Signs', the answer/result would be 'Positive number'.

  • What if there's Positive Number and Negative Number? This is when it gets complicated. It's 'Negative Number' , but why? Since, we're multiplying does have 'Negative Sign', however the answer would've not ended as Positive Number, it's not "Positive Number!".

  • How about Negative Sign and Positive Sign? This is the same as the third rule as i wrote, to make more sense... you're only to reverse/swap/switch (whatever you want to call it) the signs.

Now you know the rules, we can answer this activity.

"If you haven't understand yet look the image i provided, maybe it could help you".

#1. [tex] \large \rm (+7)(+9) = [/tex] [tex] \large \underline{\boxed{\rm{\color{purple}{63}}}} [/tex]

  • We can already say, this one is a Positive Number. Well, both of the numbers are 'positive', since we don't have a negative sign. We only have to multiply them, since both of the 'numbers' are positive.

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#2. [tex] \large \rm (-5)(-3)(-2) = [/tex] [tex] \large \underline{\boxed{\rm{\color{purple}{-30}}}} [/tex]

  • Oh boy, this one doesn't have positive number. Although we don't have 'positive number', we can make one. Negative Five (-5) times Negative Three (-3) is equals to Positive Fifteen (+15). Now i wrote in rules no. 2, "if there's two negative signs, the answer would be positive number", since we already multiply -5 and 3, our answer is +15. We're not done yet, we still have -2, but this one is negative? Yes, it is negative number. In rules no. 3, "if the number has positive number and negative number the answer is negative". Now, let's finish this, +15 times -2 = -30.

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#3. [tex] \large \rm (-8)(-2)(+3) = [/tex] [tex] \large \underline{\boxed{\rm{\color{purple}{48}}}} [/tex]

  • In this one we have 'two negative signs' and 'one positive sign'. Okay, I'll stop saying "rules no. 2", but remember if you see two negative signs we going to get a...? A positive sign. Now we begin, -8 times -2? If you answer +18 or 18, you're correct! But Molly, should we add the positive sign? Yes, but it's okay if you don't most of the people use the positive sign, because it helps them to understand the number better whether a positive number or negative number. Wait again, we're not done yet, we still have +3, let's go! 18 times +3 = 48 or +48.

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#4. [tex] \large \rm (-7)(-4) = [/tex] [tex] \large \underline{\boxed{\rm{\color{purple}{28}}}} [/tex]

  • Almost there! We've two negative sign, we can already say that our answer would be positive number. Go, read the rules no. 2. Let's begin! -7 times -4 is equals to 28 or +28.

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#5. [tex] \large \rm (+12)(-6) = [/tex] [tex] \large \underline{\boxed{\rm{\color{purple}{-72}}}} [/tex]

  • We're almost done! Go and read the rules no. 3. Well, we have 'positive number' and 'negative number' and you know the rest... Okay, we're going to multiply them with a signs. Let's begin! +12 times -6 is? If you guess -72, you're correct!

If you want to learn more about How to Multiplying Integers, you can search in YouTube, I recommend you to watch the video on MathAntics! He's good teacher and easy to understand (in my opinion).

[tex] \begin{gathered} \\ \\ \end{gathered} [/tex]

I hope it helps!

View image Molly2002