**5 + n**or

**5n**

Explain your answer clearly with examples.

*Enter your response in comments (this is part of your daily work...)*

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## Self-Directed Learning (I)

## when we meet... in Term 3

## Term 3 Week 3 Maths Test

## Topics

## Announcement: Self-Directed Learning Modules

## Useful Links

## Maths - General Links

## Resources and Video Clips about NUMBERS

*Source: Teacher.TV (**http://www.teachers.tv/**)*

**Safety In Numbers** Mathematician Marcus du Sautoy reveals how the language of maths is used to construct the complex codes that we encounter in everyday life. Learn about the amazing use of PRIME NUMBERS in our everyday life.

(http://www.teachers.tv/video/3501)

**Zero to Infinity **In this programme, mathematician Marcus du Sautoy explains how humans have developed numbers for their mathematical needs. Hear about the Invention of **Zero** and have a better understanding of **Infinity**. Can we divide a number by Zero? Is *Infinity* the biggest number? (http://www.teachers.tv/video/3500)

*Source: The Guardian (Guardian.co.uk), 4 March 2005 *

Article:**The Magic Number** by Simon Singh

Found!!! The biggest**Prime Number** yet...

Click HERE to read article.

## Resources and Video Clips about FRACTIONS

*Source: Teacher.TV (**http://www.teachers.tv/**)*

**Cutting a Cake** Have you wondered how to divide a cake into 12 pieces using only 4 cuts?

(http://www.teachers.tv/video/43462)

Source: Teacher.TV (http://www.teachers.tv/)

**Putting Reciprocals into Practical Use** Reciprocals help us to order "difficult" fractions! (http://www.teachers.tv/video/43452)

## Resources and Video Clips about GEOMETRY

## Video Clips about Data Handling

## Co-Authors

Year 2010

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ODD week

Tuesday 0800-0900

Thursday 0900-1000

Friday 0900-1000

EVEN week

Tuesday 1430-1530

Thursday 0800-0900

Friday 1030-1130

Tuesday 0800-0900

Thursday 0900-1000

Friday 0900-1000

EVEN week

Tuesday 1430-1530

Thursday 0800-0900

Friday 1030-1130

The following topics will be covered in the Maths Test

Chapter 4: Introduction to Algebra

Chapter 5: Algebraic Manipulation

Chapter 9: Ratio, Rate and Speed

Chapter 16: Data Handling (including Mean, Median, Mode)

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This term, we have earmarked 2 sub-topics for you to learn on your own... own time own target (to be completed by Term 1 Week 9).

**Chapter 9.2: Average Speed **

You are expected to complete sub-topic by 15 May 2010. A Pop-Quiz has been scheduled on 18 May 2010 (Tuesday).

**Chapter 9.3: Speed**

Apart from textbook and workbook, recommended resources and learning activities will be delivered through the AceLearning Portal and the Maths Blog.

**As these 2 sub-topics are not going to be covered in the class, please check/clarify with Ms Loh (Face-to-face or virtually) when you are in-doubt.**

You are expected to complete sub-topic by 15 May 2010. A Pop-Quiz has been scheduled on 18 May 2010 (Tuesday).

Apart from textbook and workbook, recommended resources and learning activities will be delivered through the AceLearning Portal and the Maths Blog.

(http://www.teachers.tv/video/3501)

Article:

Found!!! The biggest

Click HERE to read article.

(http://www.teachers.tv/video/43462)

Source: Teacher.TV (http://www.teachers.tv/)

Source: Teacher.TV (http://www.teachers.tv/)

**Seaside Triangles** - How properties of triangles become useful in real world applications.

(http://www.teachers.tv/video/37910)

**Surface Area of an Octagon** - Step-by-step process of working out the area of an octagon

(http://www.teachers.tv/video/43382)

(http://www.teachers.tv/video/37910)

(http://www.teachers.tv/video/43382)

This video clip, Statistics: Decisions Through Data shows how data (in the study of Statistics) has enabled mankind to make big and small decisions, that either impact the individuals or the bigger community.

Look out for the following segments:

- Describing Data

- Producing Data

- Conclusions from Data

~~~~~~~~~~~~~~~~~~~~~~~~~~

Watch this video clip The Business of Farming

*Source: The Futures Channel (**http://www.thefutureschannel.com/index.php**)*. Note: It may take a while to stream the video clip

*This video about...* There are more than 350 different commodities grown in California. In a state that provides approximately 15 percent of U.S. agricultural products, statistics are an important tool for agricultural economists to keep up with supply and demand. Let's hear how the statistics help farmers to make decisions!

Look out for the following segments:

- Describing Data

- Producing Data

- Conclusions from Data

~~~~~~~~~~~~~~~~~~~~~~~~~~

Watch this video clip The Business of Farming

5n is is larger in magnitude.

ReplyDeleteLet n be 2

5+n=5+2

=7

5n=5Xn

=5X2

=10

So 5n is larger in magnitude.

5n is larger in magnitude.

ReplyDeleteFor example, Let n be 5.

5+n = 5+5

= 7

5n = 5x5

=25

This proves that 5n is larger in magnitude

Answer:5n is larger in magnitude compared to 5+n

ReplyDeleteReasoning:

Example: Lets say n is 7

1)5+n= 5+7= 12

2)5n= 5x7= 35

So through this, it is proven that 5n is larger in magnitude compared to 5+n

5n is of larger magnitude

ReplyDelete5n is equivalent to 5 x n which has a bigger value than 5 + n

Example:

n = 10

5 + 10 = 15

5 x 10 = 50

So, 5 x n has a larger magnitude than 5 + n

5n is of a larger magnitude as compared to 5 + n.

ReplyDeleteFor example:

If n is 3,

5 + 3 would be equals to 8.

Whereas 5n = 5 x n

So, 5 x 3 = 15

15 is bigger than 8.

Therefore 5n is larger in magnitude.

JJ(:

5n is larger in multitude as it is 5x n which is 5 groups of n while 5 + n which means it is 5 plus n.

ReplyDelete5n is larger in magnitude.

ReplyDeleteFor example:

If n is 2

1) 5+2=7

2) 5x2=10

Therefore, 5n is larger in magnitude than 5+n.

5n had a larger magnitude as compared to 5+n.

ReplyDeleteFor example:

If n is 5,

5+5=10

5x5=25

Hence, 25 is bigger than 10.

5n has a bigger magnitude than 5+n

Which is larger in magnitude?

ReplyDelete5 + n or 5n

Explain your answer clearly with examples.

5n is larger in magnitude. 5 + n is = 5 + n while 5n = 5 x n.

If n = 10.

5 + n = 5 + 10

= 15

5n = 5 x n = 5 x 10

50

so, 5n is larger in magnitude.

5n is the larger magnitude.

ReplyDelete5+n is 5 plus n, while 5n is 5 multiplied by n. When you multiply two numbers, the result will be greater than adding the same two numbers.

5n.

ReplyDelete5n= 5 x n

5+n= 5+n

So, 5n is multiplication but 5+n is addition thus 5n is larger in magnitude.

To:

ReplyDeleteZiying

Cheng Ngee

Calvin

Joshua (MasterChief)

Jing Jie

Jonathan

Sher Li

Zhiqi

Shawn

Shamus

Grace

Thank you for the prompt response!

Hm... Think there's some assumption... ah! Answer not so straightforward...

Hm... Chapter 2 comes in handy to answer this question :P

Still looking for a more comprehensive answer...

5n is the larger magnitude.

ReplyDeleteLet n be 5.

So, 5+n = 5+5

= 10

5xn = 5x5

= 25

5n is the larger magnitude.

ReplyDeleteTake n as 3

5n=5x3

= 15

5+n=5+3

=8

5n is of a larger magnitude. 5n is equivalent to 5 x n, whereas 5+n is equivalent to 5 + n.

ReplyDeleteFor example, take n as 10.

5n= 5 x 10=50

5+n= 5 + 10=15

Hence 5n has a larger magnitude.

Thanks to all the inputs so far...

ReplyDeleteWhile the examples given by Guang Jun, Soh Fan and Jianhui seems logical, does anyone out there think their choice of "n" is biase?

Would someone brave enough to 'prove' that 5n is less than 5+n?

Cheers!

When "n" is less than 1.25, 5n is less than 5+n. When "n" is greater than 1.25, 5n is greater than 5+n. When "n"=1.25, neither of the statements are correct.

ReplyDeleteShamus:

ReplyDeleteGood analysis...

In fact, it really depends on the value assigned to N.

We can write as:

5n < 5+n if n<1.25

5n = 5+n if n=1.25

5n > 5+n if n>1.25

Hm... maybe you would like to share how you arrive at 1.25?

Cheers!

Either can be of larger magnitude.

ReplyDelete5+n would be larger in magnitude if n was 1.

5+n=6

5xn=5

5n would be larger in magnitude if n was 2 or above.

5+n=7

5xn=10

Either one can be larger in magnitude.

ReplyDeleteEXAMPLE 1: Take n as 1. Therefore,

5 x n = 5n = 5

5 + n = 5 + 1 = 6

So 5 + n is larger in magnitude.

EXAMPLE 2: Take n as 2. Therefore,

5 x n = 5n = 10

5 + n = 5 + 2 = 7

So 5n is larger in magnitude.

We assume that the value of 5n is equal to the value of 5+n. So the statement should be 5n=5+n. Then, we bring the "+n" over to the left side of the equation. Hence we should get "5n-n=5". Since 5n-n=4n, we know that 4n=5. And "n" would be 5/4, which is 1.25

ReplyDeleteThose were good examples to show the either one side could have a larger magnitude.

ReplyDeleteNow let's 'zoom in' to the number that makes the difference.

Let's take a look at the latest post by Shamus. He came up with the 'magic number' 1.25.

So, what happens if n is greater than, less than or equal to 1.25?

:D

BTW, so far, no one tries using fraction or very small decimals yet...