Question
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Use an area model to solve

Ask by Bob Mcguire. in the United States
Nov 18,2024

Upstudy AI Solution

Tutor-Verified Answer

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.
  1. Draw a rectangle with a length of 953 units and a width of 6 units.
  2. Divide the rectangle into smaller rectangles with a width of 6 units each.
  3. 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:
  • step0: Calculate:

    The result of is 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!

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