Question
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Answer
The result of
using an area model is approximately 158.8333.
Solution
To solve
using an area model, we can represent the division as a rectangle divided into smaller rectangles.
- Draw a rectangle with a length of 953 units and a width of 6 units.
- Divide the rectangle into smaller rectangles with a width of 6 units each.
- Count the number of smaller rectangles that fit into the larger rectangle.
Let’s calculate the number of smaller rectangles that fit into the larger rectangle.
Calculate the value by following steps:
Calculate the value by following steps:
- step0: Calculate:
The result ofis approximately 158.8333.
Therefore, when using an area model to solve
, we find that the number of smaller rectangles that fit into the larger rectangle is approximately 158.8333.
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Mind Expander
To tackle
using an area model, you can break down the division into more manageable parts. Think of
as
. Now, divide each part by
:
-
-
gives approximately , but focus on (later, we can adjust for the remainder). -
(again this will be added later).
Now, if you add it up:
and then remember the remaining parts. Combining everything will give you a quotient around
with some remainder left; after considering the extra portions, you’re looking at
with a remainder of
. Thus,
.
Next time you try such problems, remember to break them down into smaller pieces for easier calculations and to keep track of your remainders!