Multiply Using Expanded Form Practice

Multiply Using Expanded Form Practice

(it is basically the same thing as using the distributive property)

So far we have learned how to....

Use the distributive property to break apart factors 4 x 12 as (4x10) + (4x2) Using the expanded form is pretty much the same thing. We just use it with even bigger numbers

Multiple Choice

3. What is expanded form for the number 17?

• (10+7)

• (1+7)

Multiple Choice

4. What is 147 in expanded form?

• (100+40+7)

• ( 1+4+7)

Now we can use expanded form to multiply bigger numbers!!!

4 x 212

212= (200 + 10 + 2)

(4x200) + (4x10) + (4x2)

(800) + (40) + (8)= 848

Multiple Choice

Which shows how you can break up 2 x 43?

• (2x40) +(2x3)

• (2x4)+(2x3)

Multiple Choice

What is the product of 2 x 43?

• 38

• 86

• 30

Using the expanded form to multiply

• Think of the number in expanded form

• Multiply the other factor with the value of the first digit

• Continue multiplying

• Add them all up

6 x 351

• 351 = (300 + 50 + 1) expanded from

• (6 x300) + (6x50) +(6x1)

• (1800)+(300)+(6)

• 1800+300= 2100 (think 18 +3 = 21)

• 2100+6= 2106

• 2106

3 x 363

• 363= (300 +60 +3)

• (3 x 300) + (3 x 60) + (3 x 3)

• (900) + (180) + (9)

• 1,089

• 
  

• 
  

Multiple Choice

5 x 234

• 456

• 1170