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Finding the Difference Using Expanded Form

Learn how to find the difference between 57,345 and 11,198 by utilizing expanded form. Understand the steps involved, from estimation to regrouping, to arrive at the final answer in standard form.

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Finding the Difference Using Expanded Form

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  1. 3-8 Lesson 3-8 Example 3 Find the difference of 57,345 and 11,198. Use expanded form. Step 1 What is the greatest place value of the numbers? ten thousands

  2. 3-8 Lesson 3-8 Example 3 Find the difference of 57,345 and 11,198. Use expanded form. Step 2 Round the numbers to the greatest place value. 60,000 and 10,000

  3. 3-8 Lesson 3-8 Example 3 Find the difference of 57,345 and 11,198. Use expanded form. Step 3 Estimate the difference. 60,000 – 10,000 = 50,000

  4. 3-8 Lesson 3-8 Example 3 Find the difference of 57,345 and 11,198. Use expanded form. Step 4 Write the numbers in expanded form. 50,000 + 7,000 + 300 + 40 + 5− (10,000 + 1,000 + 100 + 90 + 8)

  5. 3-8 Lesson 3-8 Example 3 Find the difference of 57,345 and 11,198. Use expanded form. Step 5 Regroup. 50,000 + 7,000 + 200 + 130 + 15− (10,000 + 1,000 + 100 + 90 + 8)

  6. 3-8 Lesson 3-8 Example 3 Find the difference of 57,345 and 11,198. Use expanded form. Step 6 Subtract the columns and write the difference in standard form. 50,000 + 7,000 + 200 + 130 + 15− (10,000 + 1,000 + 100 + 90 + 8) 40,000 + 6,000 + 100 + 40 + 7 = 46,147

  7. 3-8 Lesson 3-8 Example 3 Find the difference of 57,345 and 11,198. Use expanded form. Step 7 Compare your answer to the estimate. 46,157is close to the estimate, 50,000, so it is reasonable.

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