Properties of Multiplication: Commutative, Associative, Identity, and Zero, Study notes of Elementary Mathematics

An explanation and examples of the fundamental properties of multiplication: commutative, associative, identity, and zero. These properties help simplify and understand multiplication calculations.

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2021/2022

Uploaded on 09/12/2022

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Properties of Multiplication
Notes
Commutative Property-factors can be
multiplied in any order and the product remains
the same.
3x4=4x3 6x7=7x6 _________________
Identity Property- the product of any
number times 1 is that number.
4x1=4 1x5=5 _____________________
Associative Property- the grouping of
factors can be changed without changing
the product. Notice the order or the numbers
stays the sameonly the parenthesis move.
(4x5)x2=4x(5x2) _______________________
Zero Property- the product of any number and
zero is zero
6x0=0 0x3=0 _____________________
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Properties of Multiplication

Notes

Commutative Property-factors can be multiplied in any order and the product remains the same.

3x4=4x3 6x7=7x6 _________________

Identity Property- the product of any number times 1 is that number.

4x1=4 1x5=5 _____________________

Associative Property- the grouping of factors can be changed without changing the product. Notice the order or the numbers stays the same only the parenthesis move.

(4x5)x2=4x(5x2) _______________________

Zero Property- the product of any number and zero is zero

6x0=0 0x3=0 _____________________

Let’s Practice Properties of Multiplication! Associative Property Identity Property Zero Property Commutative Property

Tell which property of multiplication is being shown

  1. 5x(9x3)-(5x9)x3 _________________________
  2. 73x0 =0 ________________________________
  3. 432x1=431 ______________________________
  4. 56x8=8x56 ______________________________
  5. 0x45=45 _________________________________
  6. 1x836=836 _______________________________
  7. 56x39=39x56 _____________________________

Now you are going to show examples of each property

Associative _________________________________

Commutative ________________________________

Identity ____________________________________

Zero ______________________________________