Q&A - P3 Math

[atutor2001]

ameryeducation:

Dharma:

Hi ks2me,


Just wondering ... isn't there a difference betw \"3 times more than\" and \"3 times as much as\" ?

Thanks

In mathematics, there is actually no difference between \"3 times more than\", and \"3 times as much as\". Linguistically, and for most common usage, they mean the same thing.

The number of apples is 3 more than the oranges. (if oranges is U, then apples is U+3)

The number of apples is 10% more than the oranges. (so apples is 110%)

The number of apples is 1/2 time more than the oranges. (so if oranges is 2U, then apple is 3U)

The number of apples is 3 times more than the oranges - it becomes ambiguous. Why?

\"more than\" means greater in size by a certain amount that can be expressed in different ways.

If the unit of measurement for the additional apples is \"3\", than the same unit of measurement apply to the orange - actual number.

If the unit of measurement for the additional apples in % \"10%\", than the same unit of measurement apply to the orange - 100%.

So I think there is no ambiguity.

[tianzhu]

[quote]Just wondering ... isn't there a difference betw \"3 times more than\" and \"3 times as much as\" ? [/quote]
Hi Dharma

From Maths456.com, Model Diagrams, I learned that there are differences between n times more stamps than …… and n times as many stamps as ……… where n is a number greater than zero.

Take for example Alan has 2 times more stamps than Ben.
For the MD, you’ll have one box for Ben and 3 boxes for Alan.

It’s available in Popular. Browse through it when you are there.

Best wishes

[corneyAmber]

tianzhu:

[quote]Just wondering ... isn't there a difference betw \"3 times more than\" and \"3 times as much as\" ?

Hi Dharma

From Maths456.com, Model Diagrams, I learned that there are differences between n times more stamps than …… and n times as many stamps as ……… where n is a number greater than zero.

Take for example Alan has 2 times more stamps than Ben.
For the MD, you’ll have one box for Ben and 3 boxes for Alan.

It’s available in Popular. Browse through it when you are there.

Best wishes[/quote]I have been thinking about this and tend to agree that this is how it is being worded in today's Maths. However, this question if viewed in this way would end up in decimal, so did the setter hence make a mistake, not sure what he/she wanted to test?

[atutor2001]

Many confusion arise because students break up the sentence wrongly as follows :

\"Alan has 2 times (pause) more stamps than Ben.\"

When broken this way, the sentence actually becomes :
\"Alan has 2 times; more stamps than Ben.\" (two independent information)

To paraphrase it, the sentence becomes :
\"Alan has 2 times and on top of that, Alan also has more stamps than Ben.\"

This meaning is totally different from the original sentence. The new sentence means \"Alan has 2 times as compared to an \"unknown\" amount and Alan has more stamps than Ben.\" What is the \"1 time\" is not known.

The original sentence should be read as :
\"Alan has 2 times more stamps than Ben (if Ben has 1 time).\"
This implies that if Ben's stamp is \"1 time\", than Alan's stamp will be \"2 times\" more than the \"1 time\" of Ben. So Alan's stamp is 3 times.

[Dharma]

tianzhu:

[quote]Just wondering ... isn't there a difference betw \"3 times more than\" and \"3 times as much as\" ?

Hi Dharma

From Maths456.com, Model Diagrams, I learned that there are differences between n times more stamps than …… and n times as many stamps as ……… where n is a number greater than zero.

Take for example Alan has 2 times more stamps than Ben.
For the MD, you’ll have one box for Ben and 3 boxes for Alan.

It’s available in Popular. Browse through it when you are there.

Best wishes[/quote]Thanks Tianzhu.

[tianzhu]

Dharma:

Thanks Tianzhu.

Hi Dharma

You are welcome.
Enjoy your reading.

Best wishes

[Suz855]

A book has 110 pages. How many times does the digit 8 appear as a page number?


Qn : should page 88 counted as 2 8s or just 1?

Thanks for the clarification & help

[Daddy]

Hi,


I have a question to ask. Thanks.

\"When Sean bought 8 pens, he was short of $38. When he bought 10 pens, he was short of $110. How much money did he have?\"


Daddy :?

[Dharma]

Suz855:

A book has 110 pages. How many times does the digit 8 appear as a page number?


Qn : should page 88 counted as 2 8s or just 1?

Thanks for the clarification & help

Hi Suz855,

On page 88, the digit ‘8’appears twice.

However, if the qns goes like this .. How many pages numbers contain a digit ‘8’?
Then you take page 88 containing digit 8. Page 88 is one of the pages that contain the digit ‘8’.

[Dharma]

Daddy:

Hi,


I have a question to ask. Thanks.

\"When Sean bought 8 pens, he was short of $38. When he bought 10 pens, he was short of $110. How much money did he have?\"


Daddy :?

Hi Daddy,

If Sean bought 2 extra pens, he spent an additional ($110 - $38 ) = $72.
Cost of 1 pen = $72/2 = $36

Amount of money Sean had = ($36 x 10) - $110 = $250

Or

Amount of money Sean had = ($36 x 8 ) - $38 = $250