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Understanding Multiplication of Integers
Contributed by: Warren
Multiplying Integers
-3(-4) = 12
3(-4) = -12
-3(4) = -12
3(4) = 12
When the first number is positive think of
adding groups of the second number.
3(-4) =
3(4) =
0 + 4 + 4 + 4
?
0 + (-4) + (-4) + (-4)
?
3(-4) = 0 + (-4) + (-4) + (-4) =
?
When the first number is positive think of
adding groups of the second number.
3(4) = 0 + 4 + 4 + 4 =
?
4(-2) =
4(2) =
When the first number is positive think of
adding groups of the second number.
0 + 2 + 2 + 2 + 2
?
0 + (-2) + (-2) + (-2) + (-2)
?
=
=
2(-8) =
2(8) =
When the first number is positive think of
adding groups of the second number.
0 + 8 + 8
?
0 + (-8) + (-8)
?
=
=
*adding a positive
A positive times
a positive is:
20(5) =
positive*
?
Therefore:
**adding a negative
A positive times
a negative is:
20(-5) =
negative**
?
When the first number is negative think of
subtracting groups of the second number.
-3(-5) =
-3(5) =
0 − 5 − 5 − 5
?
0 - (-5) - (-5) - (-5)
?
-3(-5) = 0 - (-5) - (-5) - (-5) =
?
When the first number is negative think of
subtracting groups of the second number.
-3(5) = 0 − 5 − 5 − 5 =
?
-4(-7) =
-4(7) =
When the first number is negative think of
subtracting groups of the second number.
*Remember to use K.C.I.
0 − 7 − 7 − 7 - 7
?
0 - (-7) - (-7) - (-7) - (-7)
?
=
=
-2(-9) =
-2(9) =
When the first number is negative think of
subtracting groups of the second number.
*Remember to use K.C.I.
0 − 9 − 9
?
0 - (-9) - (-9)
?
=
=
*subtracting a positive
A negative times
a positive is:
-3(15) =
negative*
?
Therefore:
**subtracting a negative
-3(-15) =
A positive times
a negative is:
positive**
?
-4(-5) =
-4(5) =
4(-5) =
4(5) =
11(-4) =
-3(7) =
-9(3) =
6(-5) =
-12(-3) =
-7(-5) =
9(5) =
6(8) =
-6(-7) =
6(-7) =
-6(7) =
6(7) =
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