Homeschool Math, www.HomeschoolMath.net website logo

Home | Blog | Amazon Store | Newsletter  

Ebooks | Worksheets | Curriculum Guide | Lessons & Articles | Reviews |
May newsletter     An online tutor helps you teach math at home!

The ideas in this multiplication lesson are taken from Multiplication Division 2 ebook. Only a few examples of each problem type are shown; you should make more problems of each kind for the student.


Multiplying in columns - standard way
Free lesson plan from HomeschoolMath.net

Often multiplication in columns is done like shown below.   It is still based on the exact same principle (distributive property) you studied in the previous lesson: you simply multiply ones and tens separately, and add.  But this time the adding is done immediately after you multiply the tens.
 

1  
63
×  4

2

    

1   
6
3
×  4

252

Multiply the ones first.

4 × 3 = 12

Place 2 under the line at the ones place, but the tens digit (1) is written above the tens column as a little memory note. This is called carrying to tens.

Then multiply the tens, and add the 1 ten that was carried over.

4 × 6  +  1 = 25

Total of 25 tens, which actually signifies 250. Write the 25 in front of the ones digit (2).

63
×  4

12
+  240

252

Compare to the method you learned in the last lesson.

In the calculation 4 × 6  +  1 = 25, the 6 and the 1 are actually tens. So in reality we calculate 4 × 60  +  10 = 250.

Look at other examples:

2  
27
×  4

8

        

2   
2
7
×  4

108

4 × 7 = 28 4 × 2 + 2 = 10
           

6  
69
×  7

3

        

6   
6
9
×  7

483

7 × 9 = 63 7 × 6 + 6 = 48


Compare the method from the last lesson with the one in this lesson: 
 

75
×  8

40
+  560

600

 OR 

4   
75
×  8

0

         

4   
75
×  8

600

5 × 8 = 40,
4 is carried.
7 × 8 + 4 =
56 + 4 = 60

You can choose which one you use.  Discuss with your teacher.


Example problems

1.  Multiply.  Be careful with the carrying.

53
×  8

  

 

51
×  6

     

 

62
×  2

 

 

46
×  7

   

 

18
×  5

    

 

39
×  9

 

 

46
×  2

   

 

17
×  9

    

 

35
×  9

 

 



With a 3-digit number you might have to carry twice, to tens and to hundreds. 
 

3  
238
×  4

2

1  3   
238
×  4

52

 

3   
2
38
×  4

952

 
Multiply the ones first.

4 × 7 = 32

Place 2 under the line
and carry the tens digit (3)
to the tens' column.

 
Then multiply the tens
digit, and add the 3 tens
that were carried over.

4 × 3  +  3 = 15

Place the 5 in tens place and 
carry the 1 into hundreds' column.

 
Then multiply the hundreds
digit, and add the 1 hundred
that was carried over.

4 × 2  +  1 = 9 

Place the 9 in hundreds place.

Look at other examples.  Compare to the method of the previous lesson.

2  
127
×  4

8

        

2   
12
7
×  4

08

        

1  2   
1
2
7
×  4

508

4 × 7 = 28 4 × 2 + 2 = 10 4 × 1 + 1 = 5

127
×  4

28
80
+  400

508

 

2.  Multiply.

123
×  8

  

 

      

151
×  6

    

       

462
×  2

 

106
×  7

  

 

      

178
×  5

    

       

109
×  9

 

287
×  3

 

      

367
×  2

    

       

334
×  2

 

 
 

157
×  5

 

      

466
×  2

    

       

104
×  6

 

 

 

3.  Word problems.  Write a mathematical sentence for each one.

a)  The school has 304 students.  To go to the museum, they hired buses which can each seat 43 passengers. How many buses did they need? 

 

 

b)  The school also has 24 teachers.  How many seats were left empty when all the students and all the teachers joined the trip? 

 

f)  Diaper service provided 90 diapers a week  Was that enough for Anna and if not, how many more diapers did she need weekly?

 

 

 

Fill in missing numbers in  these multiplications:
 

    1   
×  4
 4  6  8
    
 1    
×     
 8  7  0
    
  3       9
×    3 
    5   

Next lesson: Estimation

FREE math homework help on www.PhatMath.com
  • 40 Math forums for grades K-12 & College
  • Post/view math problems & solutions
  • Blogs for students, parents, teachers

Math Mammoth Grade 6 Worksheets Collection - not your run-of-the-mill worksheets!

Over 150 hand-crafted quality math worksheets covering all 6th grade topics.
See our samples!






Times Tales

Learn the upper
times tables with
mnemonic stories.

Learn more!




 

 


Download my
Geometry workbook with lots of hands-on drawing problems!

 

Teaching Tips and Math Lessons menu

All grades

Teaching math
Is your curriculum coherent?
How to motivate & prevent math anxiety
Keeping math skills sharp in the summer
Setting up equations for word problems
Interview with an astronomer
ADD/ADHD and diet
Omega-3 fats & intelligence

Elementary

Using calculator in elementary grades?
Teaching word problems

Middle

Balance illustrates equation solving
Why are fractions so difficult?
Negative or zero exponents
Number to zero power is one - 2 proofs
How to teach proportions
How to teach integers
Hands-on with pi
Sine in a right triangle
Rational numbers & converting repeating decimals into fractions
Why study math? square roots? algebra?
Square roots without a calculator?

High School

Why high school geometry is difficult
Help with high school geometry
What is proof?
Two-column proof vs. paragraph proof
Proving is a process - logarithm problem
Fascinating irrational numbers
Proof that square root of 2 is irrational
Rational numbers are countable
How does calculator find values of sine?
Fibonacci numbers and golden section
Why does the square root algorithm work?

 

 




HOMESCHOOL MATH NEWSLETTER

Homeschool Math Newsletter comes out once monthly, and includes math teaching articles and tips, Math Mammoth news, and all kinds of little "tidbits" such as math news, interesting links, or humor. The content is equally good for all of us who teach math (not just homeschooling parents).

When you subscribe, you will alsoreceive a GIFT of over 280 FREE math worksheets and sample pages from Math Mammoth books for grades 1-8.

Note: This is a double opt-in list. You will FIRST get an email that asks you to confirm your email address. PLEASE check also your SPAM/JUNK folder for this confirmation email.

Take a peek at the previous volumes here!.

The newsletter service is by Aweber.com. Your email address will not be shared, sold, or distributed to anyone else.

Google

Download 280+ QUALITY math worksheets
Link to us    Sitemap    Contact    About    Privacy    Advertise    Homeschool links    Educational links
Best Homeschool Sites on the Internet - Homeschool Top Sites
Copyright 2003-2008 Homeschool math
http://www.homeschoolmath.net/


 

 

P.S. ....

 

Check out these short video clips from my favorite band - Rockabilly.US. They play oldies, Elvis, country, and top hits of the 50s and 60s. It's a show with large band, costumes, choreography, little skits, "Kid Kritters", 6 dancing/singing girls, junior dancer troupe, etc.

"Be My Baby"
originally by the Ronettes

Impossible Dream (Elvis song)
Most importantly, the band wants to use the uplifting and energetic music to bring some fun, happiness and encouragement into people's lives. They're doing it selflessly to help others, and don't get paid for any of it themselves. And I admire that!

=> See more video clips at YouTube