In this
lesson, we will explore the second method: Partitioning, but first
what is "partitioning"?
"dividing
into parts, pieces, or sections"
So for the problem 4 ÷
⅓, you
can say "how many thirds are in 4?" Or, in other words, partition
4 wholes into thirds. Let's show it with a picture.
Draw 4 squares on a paper.
Look at the denominator. It is 3,
and that tells
you how many parts you must divide each square into. In
this problem, you must divide each of the 4 squares into thirds.
Below, see the
four squares with each divided into thirds.
Count the
thirds. How many in all?
So
4 ÷
⅓
(4 partitioned into thirds) is 12,
or
4 ÷
⅓
= 12
How
about 4 ÷ ¼?
Do you know
what to do first?
And then?
So,
let's try to draw a picture to show 4 partitioned into fourths!
