SOLUTION: how to represent 9/7 on a number line?

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Question 423343: how to represent 9/7 on a number line?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
you might find this interesting.

http://www.dunstone.plymouth.sch.uk/parents/helpsheets/numeracy/teaching-division.pdf

i covers a concept called grouping.

then it covers a concept of multiplication.

then it covers a concept of division.

for your problem:

your concept of grouping would be 7.

9 divided by 7 would be shown on the number line like: 

                           |--------------------------|
                           0  1  2  3  4  5  6  7  8  9 10 11 12 13 14
                           |--------------------|-----|


you would break up your number line into groups of 9 units and groups of 7 units.

you would then count how many groups of 7 would fit into your group of 9.

in this case the group of 7 goes into a group of 9 one time with a remainder of 2.

if you are into fractions, then you could show that the remainder is 2 units out of a group of 7 units which would be the fraction of 2/7.

your answer with remainder is 1 group of 7 with a remainder of 2 units.

your answer with fractions would be 1 and 2/7 groups of 7.

Check the reference out.

It shows the same method, maybe clearer.

I borrowed from the reference.

The reference is in a pdf file, so you need adobe reader on your computer to read it.

the file is 2.3 megabytes (I believe) so it takes a minute or 2 to download on a dsl line.

if you have a voice line only, then it will take longer.