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Lesson

The document is a lesson on multiplication equations as comparisons, focusing on identifying the associative property of multiplication. It explains the commutative, associative, distributive, identity, and zero properties of multiplication with examples. The conclusion drawn is that the given equation demonstrates the associative property, with the answer being option 'a'.

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Jeancel E. Cayme
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36 views1 page

Lesson

The document is a lesson on multiplication equations as comparisons, focusing on identifying the associative property of multiplication. It explains the commutative, associative, distributive, identity, and zero properties of multiplication with examples. The conclusion drawn is that the given equation demonstrates the associative property, with the answer being option 'a'.

Uploaded by

Jeancel E. Cayme
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Name _____________________ Date _________________________

Multiplication Equations as a Comparison - Step-by-Step Lesson


2 (3 x 5) = 5 (3 x 2)
Which property of multiplication is displayed in the problem above?

a) Associative c) Commutative

b) Distributive d) Multiplicative Identity

Explanation:

A quick recap on what you should have already learned in class:

Commutative property of multiplication – When you multiply two


numbers together, the final value is the same in spite of the order the
numbers are in. For example:

axb=bxa

Associative property of multiplication – If you are multiplying three numbers or more, the final value
is the same. The order in which you multiply them does not matter at all. For example:

(a x b) x c = a x (b x c)

Distributive property of multiplication – When you multiply a number by two numbers that are being
added, the final value is equal to the sum that number times each number individually.

Multiplication distributes over addition.

For example: a x (b + c) = a x b + a x c

Identity and Zero property of multiplication – When you multiply a number by 1, the product is that
number. When you multiply a number by zero, the product is 0.

Identity property: ax1=a

Zero Property: ax0=0

By observing all properties carefully we can conclude that:

This is the associative property of multiplication. We can tell this because the factors are just
redistributed, by the values are equal.

So, the answer is “a)”.

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