Multiplication properties can seem tough, but with scaffolded support our students can definitely get it. Consider how people use these properties in every day life to figure out problems (i.e. when shopping).
As students grasp the properties, they will become better mathematicians!
As students grasp the properties, they will become better mathematicians!
on this page...
* about multiplication
- multiplication vocabulary - principles of multiplication
* best websites
* properties of multiplication
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Knowing the commutative, associative & distributive properties will be most helpful when having to solve multiplication challenges. |
* math tricks * quizzes * games & simulations * for the teacher
about multiplication
multiplication vocabularly
multiplication, multiplicand, multiplier
• multiplication - a mathematical operation where
a number is added to itself a number of times. • the multiplicand is the number being multiplied and the multiplier is the number doing the multiplying. • the answer is called the product or multiple. • the multiplicand and the multiplier are both factors of the product. |
multiplication chart & multiples
Multiples are a sequence of products using the same base number
multiplied by different numbers.
multiplied by different numbers.
various ways to represent the
multiplication sign
multiplication principle
• in probability, the multiplication or counting principle is a method that uses multiplication to work out the total number of possible outcomes or combinations. • the number of possibilities in one set of choices is multiplied by the number of possibilities in each other set of choices. EXAMPLES: possibilities x possibilities x possibilities |
what is an array in multiplication
best websites
you have to know your multiplication tables like a boss to do well
in 6th grade mathematics.
properties of multiplication
There are four properties involving multiplication that will help make problems easier to solve. They are the commutative, associative, multiplicative identity and distributive properties.
1) communativeThe commutative property states that changing the order of the factors does not change the product. The root word of commutative is commute or interchange
What do you notice about the product of both pairs.
Commutative property: When two numbers are multiplied together, the product is the same regardless of the order of the multiplicands.
For example 4 * 2 = 2 * 4 |
2) associativeNext, the associative property states that changing the grouping of the factors does not change the product. This property works closely with the commutative property because we often change the order of groupings of factors when multiplying numbers to make it easier to solve problems.
Using 3 x 2 x 2 as the basis of our groupings, below you will see a visual model of how the associative property works.
Associative Property: When three or more numbers are multiplied, the product is the same regardless of the grouping of the factors.
For example (2 * 3) * 4 = 2 * (3 * 4) Multiplicative Identity Property: The product of any number and one is that number. For example 5 * 1 = 5. |
3) distrubutiveLast but certainly not least is the distributive property. The distributive property basically lets us spread out the factors so that the numbers are easier to work with. We use this a lot when multiplying mentally. For example, if asked to mentally find the product of 54 x 3, many of us would decompose 54 into 50 and 4. We could then say that (50 x 3) + (4 x 3) = 150 + 12 = 162.
Distributive property: The sum of two numbers times a third number is equal to the sum of each addend times the third number. For example 4 * (6 + 3) = 4*6 + 4*3
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4) multiplicative identity• one is the multiplicative identity,
a number which multiplies other numbers without changing their value.
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