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Decimal Fractions

a.sadikali 15 November 2017 08:25
Posts1
Joined30/06/16

Please help on the topic of Decimal Fractions.i.e. place value with 10, 100, 100 etc as the denominator

Some say it is just written as decimals e.g. 0.7, 0.125 etc...

Some say a decimal fraction is written be either 7/10 or 0.7..... see ....

https://www.mathsisfun.com/definitions/decimal-fraction.html

Can't say i remember learning these as a child.

Thanks

 

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TeacherY4 12 February 2018 22:46
Posts1
Joined11/07/15

7/10 = fraction and it's written as a decimal number below as:

0.7 = decimal number

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Rebecca_Hanson 20 February 2018 07:05
Posts1094
Joined28/01/08

Key aspects of working with decimal fractions:

Just a children learn to show that 349 = 300+40+9
So they also need to learn to show that 0.67 = 6/10+7/100
and 30.107 = 30 + 1/10 + 7/1000
and so on.

This is beautifully done with place value counters like these: https://www.tts-group.co.uk/coloured-double-sided-https://www.tts-group.co.uk/coloured-double-sided-place-value-counter-2475pc/MA02722.html?gclid=Cj0KCQiAiKrUBRD6ARIsADS2OLkEgUKZNchjmQfWFNlyxjL_LV7Gxm3jN4-oHuowsh9XgpY45ljtRgEaApFpEALw_wcB.

The counters for values less than one are fractions on one side and decimals on the other.

Children also need to understand that just as 23 can be 2 tens and 3 ones or 1 ten and 13 ones or 23 ones,
so
0.23 can be 2/10 + 3/100  or 1/10 + 13/100 or 23/100.  

I use a counting stick (with tenths and hundredths marks) as well as place value counters to ensure children thoroughly understand this.  Children need to know that 0.46 = 4/10 + 6/100 = 46/100.

I've trained a heck of a lot of TAs and very few of them understand decimals this well.  So it's worth training them too or they confuse the children.  Also quite a few teachers only have 0.46 = 4/10 + 6/100 or 0.46 = 46/100 but not both. 

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