Drag all of the steps necessary into the box to find the product of 2.3×0.5

using partial products.

1 answer

To find the product of \(2.3 \times 0.5\) using partial products, you can follow these steps:

  1. Break down the numbers:

    • Break \(2.3\) into \(2\) and \(0.3\).
    • Break \(0.5\) into \(0.5\) (it remains the same).
  2. Find partial products:

    • Calculate \(2 \times 0.5\).
    • Calculate \(0.3 \times 0.5\).
  3. Add the partial products:

    • Add the results from the two calculations above to find the total product.
  4. Final result:

    • The result from the addition gives you the final product of \(2.3 \times 0.5\).

Here’s how the problem looks with each step carried out:

  1. \(2.3\) is \(2 + 0.3\).
  2. \(0.5\) stays as \(0.5\).
  3. \(2 \times 0.5 = 1.0\).
  4. \(0.3 \times 0.5 = 0.15\).
  5. Add the partial products: \(1.0 + 0.15 = 1.15\).

Thus, \(2.3 \times 0.5 = 1.15\).

You can drag these steps in the following order to calculate the product using partial products:

  • Step 1: Break down \(2.3\) into \(2\) and \(0.3\).
  • Step 2: Calculate \(2 \times 0.5\).
  • Step 3: Calculate \(0.3 \times 0.5\).
  • Step 4: Add the partial products together.
  • Step 5: Write the final result.

This will allow you to find the product using the method of partial products effectively.