This lesson defines the partial commodities algorithm for multiplying two- or three-digit number in columns that have the right to be much easier for some students than the typical algorithm that multiplication. The is a complete lesson through explanations and also exercises, supposed for 4th grade. In a nutshell, students rest the number to multiply right into parts, main point the parts separately, and then add.

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3 8× 6

Let"s multiply6 × 38in parts,writingthenumbersundereach other.

38× 64 8


38×64 81 8 0

Then main point 6 × 30 andwrite the result under the 48.Remember, the "3" is in thetens place inthe number 38so it actually way 30.

3 8×64 8+ 1 8 02 2 8

82
× 91 8
1. Multiply.

a.

*

b.

*

c.

*

d.

*

e.

*

f.

*

g.

*

h.

*

multiply a 3-digit numberhappens in exactly the exact same way.

You multiply in parts:first the ones, climate the tens, then the hundreds. Lastly, add.

Just don"t forget the you aremultiplying entirety tens and whole hundreds, not just “plain” numbers.

ones:7 × 6 tens:7 × 20 hundreds:7 × 500 Add.
5 26× 74 2
526× 74 21 4 0
52 6× 74 21 4 03 5 0 0

2. Multiply.

a.

*

b.
*
c.

*

d.

*

e.

*

f.

*

g.

*

h.

*

i.

*

j.

*

k.

*

l.

*

3. Resolve the equations.

a. × 80= 480

= ________

b.5 × ? = 450

? = ________

c.900 × z = 81,000

z= ________

4. Solve.

a.58 × 5 + 291

b. 1,000 − 3 × 145

5. Solve.

a. A $236 burglar alarm is discounted by $40. A store buys seven. What is their full cost?

b. One next of a square is 248 feet. What is that perimeter?

6. Resolve the equations.

a.50 × ? = 2,000

? = ________

b. × 60= 2,400

= ________

c.70 × z = 49,000

z= ________

d. × 30= 9 × 40

= ________

e.5 × ? × 2 = 1,000

? = ________

f.40 × ns = 800 × 4

p= ________

*
figure out the absent numbersand end up solving!

a.

× 7
1 4
4 9 0
+ 7 0 0

b.

×

4

2 0 0
+ 1 2 0 0
1 4 3 2

c.

×

9

8 1
+ 6 3 0 0
6 3 8 1

See also:Partial commodities algorithm - a video clip lesson

Worksheet because that partial products: single-digit number time a 2-digit numberWorksheet because that partial products: single-digit number times a 3-digit numberWorksheet for partial products: single-digit number time a 4-digit number

Math Mammoth Multiplication 2

A self-teaching worktext for fourth grade the covers multiplying by totality tens and also hundreds, multi-digit multiplication in columns, order of operations, native problems, scale problems, and also money problems.

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Download ($5.10). Also accessible as a published copy.

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