Unit 6 Section 2 : Long Multiplication

In this section you will see some different ways of multiplying together numbers which are bigger than 10.

You have probably seen long multiplication before. The slideshow below will remind you how to multiply 35 by 19 using long multiplication. Use the left and right arrows to view the slideshow.

Long Multiplication
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But there are many other ways of doing this multiplication.

(1) Napier's Method

Follow the stages in the slideshow below, doing each stage on paper as you go through.

Napier's Method
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(2) Russian Multiplication

Follow the stages in the slideshow below, doing each stage on paper as you go through.

Russian Multiplication
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(3) Box Method

This method is quite simple and can be explained without the need for a slideshow.

Box Method

 

Exercises

Work out the answers to the questions below and fill in the boxes. Click on the Click this button to see if you are correct button to find out whether you have answered correctly. If you are right then will appear and you should move on to the next question. If appears then your answer is wrong. Click on to clear your original answer and have another go. If you can't work out the right answer then click on Click on this button to see the correct answer to see the answer.

Question 1
Find the answers to the multiplications below by any method (but not using a calculator).

(a)3 × 42
(b)8 × 35
(c)6 × 22
(d)9 × 43
(e)12 × 62
(f)15 × 32
(g)84 × 22
(h)19 × 48
(i)62 × 18
(j)43 × 62

Question 2
Find the answers to the multiplications below by Russian Multiplication.

(a)42 × 37
(b)62 × 81
(c)14 × 93
(d)27 × 43
(e)82 × 29
(f)38 × 46

Question 3
Find the answers to the multiplications below by the box method or Napier's method.

(a)12 × 15
(b)32 × 21
(c)89 × 42
(d)45 × 57
(e)62 × 91
(f)112 × 428

You have now completed Unit 6 Section 2
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Produced by A.J.Reynolds January 2001