Integers

Multiplying integers

Review and practice multiplying signed numbers

Poll

Rate your understanding of multiplying integers before you start this activity.

• I don’t get it.

• Sometimes I mess up.

• This is one of my strengths!

Integers are...

the set of all positive and negative whole numbers

{...-3, -2, -1, 0, 1, 2, 3...}

The signs on Integers follow these rules when multiplying

To help you remember the rules, think of love (+) and hate (-)

• if you love to love, that is love

• If you hate to hate, that is love

• If you love to hate, that is hate

• If you hate to love, that is hate

Multiple Choice

if you love to love, that is

• Love

• Hate

Multiple Choice

If you hate to love, that is...

• Love

• Hate

Multiple Choice

$$hate\left(-\right)\times love\left(+\right)=$$  

• $$love+$$  

• $$hate\ -$$  

Multiple Select

Check all of the following that result in a positive (+)? 

• $$\left(-\right)\times\left(+\right)$$  

• $$\left(-\right)\times\left(-\right)$$  

• $$\left(+\right)\times\left(-\right)$$  

• $$\left(+\right)\times\left(+\right)$$  

Multiple Select

Check all of the following that result in a negative (-)? 

• $$\left(-\right)\times\left(+\right)$$  

• $$\left(-\right)\times\left(-\right)$$  

• $$\left(+\right)\times\left(-\right)$$  

• $$\left(+\right)\times\left(+\right)$$  

Follow the rules to multiply the integers

Observe these facts:

• We multiply the numbers as usual, no matter what the signs are.

• The sign after multiplying is determined by the rules.

• A positive number does not have to have a plus sign in front of it (+3=3)

• A negative number has to have a minus sign in front of it (-2=-2)

Multiple Choice

What is... $$-3\cdot+2=$$  

• $$-1$$  

• $$-6$$  

• $$+6$$  

• None of these

Multiple Choice

What is $$6\cdot-2=$$  

• $$-12$$  

• $$4$$  

• $$+12$$  

• None of these

Multiple Select

Which of the following is equal to $$-12$$  ?

(check all that do)

• $$3\cdot4$$  

• $$3\cdot-4$$  

• $$-3\cdot4$$  

• $$-4\cdot3$$  

• $$-4\cdot-3$$  

Multiple Select

Check all the equations below that are correct.

• $$3\cdot-3=-9$$  

• $$3\cdot3=9$$  

• $$-3\cdot3=9$$  

• $$-3\cdot-3=9$$  

Multiple Choice

$$-1\cdot5=$$  

• 4

• -4

• 5

• -5

Poll

Rate your understanding of multiplying integers after completing this activity.

• I still don’t get it.

• Sometimes I still mess up.

• This is now one of my strengths!

• Yep, I'm solid!