
6.NS.2. Apply and extend previous understandings of
multiplication and division and of fractions to multiply and
divide rational numbers. Understand that multiplication is
extended from fractions to rational numbers by requiring
that operations continue to satisfy the properties of
operations, particularly the distributive property, leading to
products such as (–1)(–1) = 1 and the rules for multiplying
signed numbers. Interpret products of rational numbers by
describing real-world contexts.

Understand that integers can be divided, provided that the
divisor is not zero, and every quotient of integers (with nonzero divisor) is a rational number. If p and q are integers, then
–(p/q) = (–p)/q = p/(–q). Interpret quotients of rational
numbers by describing real-world contexts.
 I can multiply and divide integers.
 I can use multiplication and division
of integers in real life situations.
State the rule for multiplying and
dividing integers….
If the
signs
are the
same,
the
answer
will be
positive.

If the
signs are
different,
the
answer
will be
negative.

To remember whether your answer will be
positive or negative when MULTIPLYING or
DIVIDING, we’ll use:
Mr. Multiplivision
When multiplying
Integers, cover the
Two signs you are using
Ex.:
5 (-3)
= -15
Choral Response
What sign is left
uncovered?
Negative, That is the sign of
The answer
Division
Good News:
It’s not any different!
Ex.: -48  (-4)
= + 12




Negative • Negative = Positive
Positive • Positive = Positive
Positive • Negative = Negative
Negative • Positive = Negative




Positive  Positive = Positive
Negative  Negative = Positive
Positive  Negative = Negative
Negative  Positive = Negative


If the signs are the SAME the answer is
positive
If the signs are DIFFERENT the answer is
negative
 If there are an even number of
negative signs, the answer is
positive.
 If there are an odd number of
negative signs, the answer is
negative.
1. -8 * 3
-24
Different
What’s
Signs
The
Negative
Rule?
Answer
2. -2 * -61
122
3. (-3)(6)(1)
(-18)(1)
-18
4. 6 ÷ (-3)
-2
Start inside ( ) first
5. - (20/-5)
- (-4)
4
Same
Signs
Positive
Answer
6.
408
6
68
Example 1
(-35)(245)
= -8,575
Example 2
-9(12)
= -108
Example 3
7(-6)(-12)
= (-42)(-12)
= 504
Example 4
(6)(-2)(13)
= (-12)(13)
= -156
Example 5
112  (-4)
= -28
Example 7
-216  (-18)
= 12
Example 6
-56  -2
= 28
Example 8
48  (-6)
= -8
7. At midnight the temperature is 8°C.
If the temperature rises 4°C per hour,
what is the temperature at 6 am?
How long
Is it from
Midnight
to 6 am?
6
hours
+4
degrees
How much
does the
temperature
rise each
hour?
(6 hours)(4 degrees per hour)
= 24 degrees
8° + 24° = 32°C
Add this to
the original temp.
8. A deep-sea diver must move up or down in
the water in short steps in order to avoid
getting a physical condition called the bends.
Suppose a diver moves up to the surface in five
steps of 11 feet. Represent her total
movements as a product of integers, and find
the product.
Multiply
(5 steps) (11 feet)
(55 feet)
5 * 11 = 55

Complete the following questions to practice adding,
subtracting, multiplying and dividing integers.
-5 + - 4 =
3 + -5 =
7+2=
-4 - 3 =
2-8=
7 - (-3) =
-3 - (-5) =
3 • -4 =
-7 • -2 =
8•3=
-9 • 2 =
30 ÷ -2 =
-24 ÷ -6 =
-4 ÷ 2 =
14 ÷ 7 =
Check your Answers
-5 + - 4 = -9
3 + -5 = -2
7+2=9
-4 - 3 = -4 + -3 = -7
2 - 8 = 2 + -8 = -6
7 - (-3) = 7 + 3 = 10
-3 - (-5) = -3 + 5 = 2
3 • -4 = -12
-7 • -2 = 14
8 • 3 = 24
-9 • 2 = -18
30 ÷ -2 = -15
-24 ÷ -6 = 4
-4 ÷ 2 = -2
14 ÷ 7 = 2
Classwork: Try these
educational games to
help you practice
multiplication and
division with integers
 Integer Warp
(Multiplying Integers)
& Grade or No Grade?



Homework:
HW: Reteaching 10.4
& 10.5 HO