Multiplying and Dividing Integers

1. Multiplying
and
Dividing Integers
Mathematics 6

2. Learning Objectives:
 Present the rules in multiplying
and dividing integers
 Multiply and divide integers
through activity.

3. Multiplying Integers
To multiply integers,
always multiply them just
like how we would multiply
whole numbers and use
the following rules to
determine the sign of the

4. “
When multiplying two integers with
the same sign, the result is always
positive.
Multiply 3 by 10
Since the integers are both
positive, their product must
be positive.
(3) x
(10) =
?
30

5. “
When multiplying two integers with
the same sign, the result is always
positive.
Multiply -3 by -2
Since the integers are both
negative, their product
must be positive.
(-3)x(-
2) = ? 6

6. “
When multiplying two integers with
different sign, the result is always
negative.
Multiply 5 by -2
Since the integers have
different sign, their product
must be negative.
5 x(-2)
= ? -10

7. “
When multiplying two integers with
different sign, the result is always
negative.
Multiply -4 by 3
Since the integers have
different sign, their product
must be negative.
(-4) x
3 = ? -12

8. “
Find the product of -
5, -2, -3
Let us multiply first the two
integers before multiplying
the remaining integer.
(-5) x
(-2) 10
10 x (-
3)
-
30
Final Answer: -

9. Dividing Integers
Division and multiplication
of integers are inverse
operations. The rules in
multiplication of integers
are also applicable in
division of integers.

10. When finding the quotient of two
integers with the same sign, the
result is always positive.
Divide +30 by +10
Since the integers are both positive,
their quotient must also be positive.
(+30) ÷
(+10)
+3

11. When finding the quotient of two
integers with the same sign, the
result is always positive.
Divide -6 by -2.
Since the integers are both negative,
their quotient must be positive.
(-6) ÷ (-
2)
+3

12. When finding the quotient of two
integers with different sign, the
result is always negative.
Divide 15 by -3.
Since the integers have different signs,
their quotient must be negative.
15 ÷ (-3) -5

13. When finding the quotient of two
integers with different sign, the
result is always negative.
Find the quotient of -40
and 4.
Since the integers have different signs,
their quotient must be negative.
(-40) ÷ 4 -10

14. Remember!
When multiplying two integers with the
same sign, the result is always positive.
When multiplying two integers with
different sign, the result is always
negative.
When finding the quotient of two
integers with the same sign, the
result is always positive.
When finding the quotient of two
integers with different sign, the
result is always negative.

15. Quiz A. Complete the table below by
multiplying the integers in the first
column by the integers in the first row.

16. Quiz B. Complete the table below by dividing
the integers in the first column by the
integers in the first row.
÷

17. Thank you for listening!
See you again next
time!