Integer Operations Rules

integer division

Remember rules for

integer multiplication?

Positive x positive = Positive (+)

Negative x negative = Positive (+)

Positive x negative = Negative (-)

Negative x positive = Negative (-)

Division is simply "undoing" multiplication

So...

8/2 ( 8 divided by 2)

could also be 2 x ? = 8

That means we have to use the rules for multiplying integers

Let's look at 8/2 again

If we use 2 x ? = 8, our rules tell us the answer HAS to be a POSITIVE number

(Positive x positive = Positive)

Let's look at the same numbers, but let's make the 8 negative this time

-8/2

This time 2 x ? = -8, so our rules tell us the answer HAS to be a NEGATIVE number

(Positive x negative = Negative)

Let's look at the same numbers, but now make the 2 negative this time

8/-2

This time -2 x ? = 8, so our rules tell us the answer HAS to be a NEGATIVE number

(Negative x negative = Positive)

Finally, let's make both numbers negative

-8/-2

This time -2 x ? = -8, so our rules tell us the answer HAS to be a POSITIVE number

(Negative x positive = Negative)

Let's look at a few examples!

Multiple Choice

-10/-2

(-10 divided by -2)

OR -2 x ? = -10?

Remember your rules for integer multiplication!

• 5

• -5

• 8

• -12

Multiple Choice

-10/2

(-10 divided by 2)

OR 2 x ? = -10?

Remember your rules for integer multiplication!

• 5

• -5

• 8

• -12

Multiple Choice

10/-2

(10 divided by -2)

OR -2 x ? = 10?

Remember your rules for integer multiplication!

• 5

• -5

• 8

• -12

Multiple Choice

-24 / -4

(-24 divided by -4)

OR -4 x ? = -24

Remember your rules for integer multiplication!

• 6

• -6

Multiple Choice

20 / -4

(20 divided by -4)

OR -4 x ? = 20

Remember your rules for integer multiplication!

• 5

• -5

Multiple Choice

When multiplying two positive numbers together the answer will be _______________________.

• Negative

• Positive

Multiple Choice

Is the product

–8 • (–3) positive or negative?

• negative

• positive

• both

• neither

Multiple Choice

-35 ÷ ___ = -7

• 5

• -5

• 7

• -7

Multiple Choice

(-1)(-1)(-1)(-1)(-1)(-1)(-1)

• -1

• 1

• -7

• 7

Multiple Choice

64 ÷ (-8)

• 8
• -8
• -9
• -7

Multiple Choice

-30/-10=

• -30
• -3
• 3
• 30

Multiple Choice

If I have two negatives what will the product be?

• Negative

• Positive

Multiple Choice

If I have a negative multiplied with a positive, what will the answer be?

• Positive

• Negative

Multiple Choice

If I have a positive multiplied with a positive, what will the answer be?

• Positive

• Negative

Multiple Choice

(-25) ÷ (-5)

• 5

• -5

• -20

• -30