To multiply 4 times 60 mentally, we can multiply 4 times 6 first, and then put a

Question

To multiply 4 times 60 mentally, we can multiply 4 times 6 first, and then put a 0 at the end to get the answer, 240. Discuss how the equations and math drawing below are related to this mental technique. Which property of multiplication is used? Explain how to use the associative property of multiplication to make 28 times 0.25 easy to calculate mentally. Write equations to show how the associative property is used. How else can you think about the problem? How is the associative property of multiplication involved when viewing 20 groups of 10 as 2 groups of 100? Write equations to help explain.

Explanation / Answer

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Given that we need to ultiply 4 X 60

which is equal to = 4 X (6 X 10)

By associative property of multiplication

= (4 X 6) X 10

Now if we relate it to the figure given so in order to multiply 4 X 6 it has been distributed in 4 gropups of 6 each adding which gives 24 which is the multiplicative product.

This is by using dstributive property.

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