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Commutative Property of Multiplication Commutative Property of Multiplication

Commutative Property of Multiplication - PowerPoint Presentation

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Uploaded On 2016-03-05

Commutative Property of Multiplication - PPT Presentation

MAFS3OA25 Commutative Property of Multiplication In Ms Adamss classroom library she has 5 rows of bookshelves with 3 books on each shelf as shown below Commutative Property of Multiplication ID: 243555

property multiplication model commutative multiplication property commutative model write array books equations rows adams shown prescott number facts models

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Slide1

Commutative Property of Multiplication

MAFS.3.OA.2.5Slide2

Commutative Property of Multiplication

In Ms. Adams’s classroom library, she has 5 rows of bookshelves with 3 books on each shelf, as shown below.Slide3

Commutative Property of Multiplication

In Ms. Prescott’s classroom library, she has 3 rows of bookshelves with 5 books on each shelf, as shown below.Slide4

Commutative Property of Multiplication

Who has more books?

Ms. Adams

Ms. PrescottSlide5

Commutative Property of Multiplication

Write a multiplication sentence that models each picture.

Ms. Adams

Ms. Prescott

5 × 3 = 15

3 × 5 = 15Slide6

Commutative Property of Multiplication

So who has more books?

They have the same number of books.

Ms. Adams

Ms. Prescott

5 × 3 = 15

3 × 5 = 15Slide7

Commutative Property of Multiplication

That means that

has the same value as…

5 × 3 = 15

3 × 5 = 15

This is because of the Commutative Property of Multiplication which states that

when you change the order of the factors, the product stays the same.Slide8

Let’s model the Commutative Property of Multiplication.

With counters or square tiles, model 3 rows of 5.

3 x 5 = 15

Now, model 5 rows of 3.

Doesn’t it look like the same array, just turned on its side?

It is.

5 x 3 = 15Slide9

Model 3 groups of 4.

Let’s model the Commutative Property of Multiplication.

3 x 4 = 12

Model 4 groups of 3.

4 x 3 = 12

Do the models look the same?

NO

But, is the product the same?

YES!Slide10

Write 2 multiplication equations for the following array.

3 × 5 = 15

5 × 3 = 15Slide11

Write 2 multiplication equations for the following array.

5 × 4 = 20

4 × 5 = 20Slide12

Write 2 multiplication equations for the following array.

2 × 4 = 8

4 × 2 = 8Slide13

Write 2 multiplication equations for the following array.

3 × 6 = 18

6 × 3 = 18Slide14

Why is the Commutative Property important?

If you know your “easy” facts, like your 1s, 2s, 5s, and 10s…

Then you also

know

many of your other facts too…all because of the Commutative Property of Multiplication.Slide15

Exit Ticket

Write the two multiplication equations shown by the arrays below.

What number would make this equation true?

5 × 4 = × 5