Description:
Fundamental properties of multiplication, including commutativity, associativity, distributivity, identity, and the zero property,
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Properties of Multiplication-
Commutative Property
of Multiplication- Explanation: Think 'switch'
- Example
- Key Insight: Changing the order of the factors
does not change the product.
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Associative Property
of Multiplication- Explanation: Think 'group'
- Example
- Key Insight: Changing the grouping of the factors
does not change the product.
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Distributive Property
- Explanation: Think 'splitting of one of the factor'
- Example: 7 × 17
- Key Insight: Multiplying a sum by a number
is the same as multiplying each addend
by the number and then adding the products.
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Identity Property
- Explanation: Multiplying by one
- Example
- Key Insight: Any number multiplied by
one remains unchanged
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Zero Property
- Explanation: Multiplying by zero
- Example
- Key Insight: Any number multiplied by
zero equals zero
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