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7,018x209 solved by drawing the area model and using the standard algorithm.

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Final answer:

To solve 7,018 multiplied by 209 using the area model and the standard algorithm, follow these steps: draw a rectangle, divide it into two sections, label each section with the numbers, multiply the ones place of one number by each digit of the other, and add up the partial products.

Step-by-step explanation:

To solve the multiplication problem 7,018 multiplied by 209 using the area model and the standard algorithm, follow these steps:

  1. Draw a rectangle and divide it into two sections. Label one section with the number 7,018 and the other section with the number 209.
  2. Divide the rectangle representing 7,018 into thousands, hundreds, tens, and ones. Write each digit in the corresponding section of the rectangle.
  3. Multiply the ones place of 209 by each digit of 7,018. Write the partial products in the corresponding section of the rectangle.
  4. Add up the partial products to find the total product. The result is 1,464,862.
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