Partial Product

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Partial Product : 

Partial Product A.K.A. “The Break-Apart Method”

I don’t know how to solve this without blocks! : 

I don’t know how to solve this without blocks! 28 X 74 =

I can help you. Look at how I do it! : 

I can help you. Look at how I do it! I line up my factors. I break apart my problem. I multiply the ones 1st. I multiply the tens 2nd. Then I add their products together.

Let’s Start Breaking ApartInspired by Elton John’s “Don’t Go Breaking My Heart” : 

Let’s Start Breaking ApartInspired by Elton John’s “Don’t Go Breaking My Heart” Let’s start breaking apart I could, if I tried I’ll help if you get perplexed Thanks, you’re oh so kind

Let’s start breaking apartLine up factors for me : 

Let’s start breaking apartLine up factors for me 28 X 74 = 28 X 74 I like to see all of the ones & tens in a row.

Split up the bottom ones and tensThat’s easier, I see : 

Split up the bottom ones and tensThat’s easier, I see 28 x 74 28 x 4 28 x 70 4 is in the ones place, I separate that to multiply it by 28 7 is in the tens place which makes its value 70. I separate that to multiply it by 28

Slide 7: 

We all can do it We think we’ve found Now that it’s down We all can do it

Slide 8: 

Right from the start How it did look hard How it did look hard

So let’s start breaking apartThe ones place is a good startLet’s start breaking apart : 

So let’s start breaking apartThe ones place is a good startLet’s start breaking apart 28 X 74 3 2 1 1 28 X 4 I remember how to do that! 112

And nobody told usBut, somebody showed usThe tens place is up next, guysI know we can do it : 

And nobody told usBut, somebody showed usThe tens place is up next, guysI know we can do it 28 X 74 112 28 X 70 1960 5 0 6 9 1

Now, don’t misunderstand meWe don’t have product yetWe add up those two partialsWe’ve got a product, all right : 

Now, don’t misunderstand meWe don’t have product yetWe add up those two partialsWe’ve got a product, all right 28 X 74 112 +1960 2,072 Product

Slide 12: 

28 x 74 28 x 4 112 28 x 70 1960 28 x 74 112 1960 We all can do it We think we’ve found Now that it’s down We all can do it

Slide 13: 

Right from the start How it did look hard How it did look hard

Partial Product : 

Partial Product

Now you try it! : 

Now you try it!

Did I get it? : 

Did I get it?

We did it! : 

We did it!

Let’s Start Breaking ApartInspired by Elton John’s “Don’t Go Breaking My Heart” : 

Let’s Start Breaking ApartInspired by Elton John’s “Don’t Go Breaking My Heart” Let’s start breaking apart I could, if I tried I’ll help if you get perplexed Thanks, you’re oh so kind Let’s start breaking apart Line up factors for me Split up the bottom ones & tens That’s easier, I see We all can do it We think we’ve found Now that it’s down We all can do it Right from the start How it did look hard How it did look hard So let’s start breaking apart The ones place is a good start Let’s start breaking apart And nobody told us But somebody showed us The tens place is up next, guys I know we can do it Now, don’t misunderstand me We don’t have a product yet We add up those two partials We’ve got a product, all right