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Identity Property of
Multiplication
Multiplication
Property of Zero
Multiplication
Property of -1
Multiplying Numbers
With the Same Sign
Multiplying Numbers
With Different Signs
Dividing Numbers
With the Same Sign
Dividing Numbers
With Different Signs
Inverse Property of
Multiplication
For every real number n,
1∙𝑛 =𝑛
𝑛∙1=𝑛
For every real number n,
𝑛∙0=0
0∙𝑛 =0
1 ∙ (−5) = −5
−5 ∙ 1 = −5
35 ∙ 0 = 0
0 ∙ 35 = 0
For every real number n,
−1 ∙ 5 = −5
−1 ∙ 𝑛 = −𝑛 𝑛 ∙ −1 = −𝑛
5 ∙ (−1) = −5
The product of two positive
2 ∙ 5 = 10
numbers or two negative
−2 ∙ (−5) = 10
numbers is positive.
The product of a positive
3(−6) = −18
number and a negative
−3 ∙ 6 = −18
number is negative.
The quotient of two positive
6
−6
=
2
=2
numbers or two negative
3
−3
numbers is positive.
−6
6
The quotient of a positive
=
−2
=
3
−3
number and a negative
−2
number is negative.
For every nonzero real
number a,
1
𝑎 (𝑎) = 1.
1
5 (5) = 1
1
−5 (− 5) = 1