# Multiplication

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## To recognise and represent the multiples of single-digit numbers [lo 1.3.6]

I think you already know how important it is to know your tables well. In this learning unit it will help you to multiply quickly and correctly. Let us see how well you know your tables.

1. Take the fruit-shaped sweets containing the correct answers out of the jar. Colour them in neatly and then write down the letter of the alphabet written on it. Use these letters to complete the sentence:

_____________ is a shorter way of doing repeated addition.

1.1 5 × 4

1.2 2 × 3

1.3 7 × 7

1.4 7 × 4

1.5 5 × 5

1.6 7 × 3

1.7 6 × 4

1.8 9 × 2

1.9 9 × 7

1.10 9 × 9

1.11 7 × 6

1.12 3 × 5

1.13 8 × 8

1.14 12 × 4

1.15 6 × 12

1.16 9 × 12

1.17 6 × 6

## To recognise and represent the factors of at least any two-digit whole number [lo 1.3.7]

1. Now that you know exactly what factors are, you are probably able to see their important function in multiplication. Factors also help us to test our answers when we multiply. Yes, you are right! We use them when we divide in order to test whether we have multiplied correctly. Now see how many pairs of factors you can write down for the following numbers.

 a) 24 = ............ × ............ b) 36 = ............ × ............ = ............ × ............ = ............ × ............ = ............ × ............ = ............ × ............ = ............ × ............ = ............ × ............ = ............ × ............

2. Let us do some more exercises, using factors. Look at the products (numbers) and then write down suitable factors for them. The first one has been done for you.

 42 45 63 54 64 7 × 6 ...................... ...................... ...................... .................................... 72 108 48 88 96 ...................... ...................... ...................... ...................... ....................................

DO YOU STILL REMEMBER?

When you multiply any number by 0 , the answer is always 0 . (0 × 6 = 0)

Any number multiplied by 1 , is that number. (9 × 1 = 9)

## To be able to do mental arithmetic [lo 1.9.2]

Now the factors are supplied to you. All you have to do in your first mental arithmetic test is to complete the multiplication block by writing down the missing answers only. Easy, isn’t it?

 X 4 5 6 7 8 9 12 5 20 ............ 30 ............ 40 ............ 60 6 ............ 30 36 42 ............ 54 ............ 7 28 ............ 42 ............ 56 ............ 84 8 ............ 40 ............ 56 ............ 72 ............ 9 ............ ............ 54 ............ 72 ............ 108 2 48 60 ............ 84 ............ 108 ............

## To describe and illustrate different ways of writing in different cultures [lo 1.2]

By doubling numbers we can find the answer to a multiplication sum much more easily. Here we can learn from the Egyptians. Work with a friend and see whether you are able to find out how this calculation was done.

28 × 324

 1 × 324: 324 (1 × 324) Double 324: 648 (2 × 324) Double l 648: 1 296 (4 × 324) Double 1 296: 2 592 (8 × 324) Double 2 592: 5 184 (16 × 324) Thus: 28 × 324 = 9 072

#### Questions & Answers

how do you translate this in Algebraic Expressions
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Shanjida
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what's the easiest and fastest way to the synthesize AgNP?
China
Cied
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I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
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Porter
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Yasmin
what is the function of carbon nanotubes?
Cesar
I'm interested in nanotube
Uday
what is nanomaterials​ and their applications of sensors.
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preparation of nanomaterial
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
what is system testing
what is the application of nanotechnology?
Stotaw
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
Azam
anybody can imagine what will be happen after 100 years from now in nano tech world
Prasenjit
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
Azam
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
Prasenjit
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Damian
silver nanoparticles could handle the job?
Damian
not now but maybe in future only AgNP maybe any other nanomaterials
Azam
Hello
Uday
I'm interested in Nanotube
Uday
this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
Prasenjit
can nanotechnology change the direction of the face of the world
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