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Apply your understanding of regrouping to solve the problems below

Apply your understanding of regrouping to solve the problems below

Answer

Regrouping Problems:

Problem 1:

Calculate 78 + 47.

Step 1: Regroup the numbers. Start with the ones place:

  • 8 (from 78) + 7 (from 47) = 15
  • 15 contains 1 ten and 5 ones, so we regroup 1 ten.

Step 2: Now add the tens:

  • 7 (from 78) + 4 (from 47) + 1 (regrouped) = 12

Step 3: Combine the results:

  • 12 tens and 5 ones = 125.

Answer: 125

Problem 2:

Calculate 154 - 67.

Step 1: Regroup the numbers. Start with the ones place:

  • 4 (from 154) - 7 (from 67). Since 4 is smaller than 7, we need to regroup.
  • Borrow 1 ten from the tens place of 154 (making it 4 tens), so now we have 14 ones.

Step 2: Subtract the ones:

  • 14 - 7 = 7

Step 3: Now subtract the tens:

  • 4 (from 154) - 6 (from 67). Again, 4 is smaller than 6, so regroup again.
  • Borrow 1 hundred making it 0 hundreds and 14 tens.

Step 4: Subtract:

  • 14 - 6 = 8

Step 5: Combine the results:

  • 800 + 70 + 7 = 87.

Answer: 87

Problem 3:

Calculate 625 + 789.

Step 1: Regroup the numbers starting with the ones place:

  • 5 (from 625) + 9 (from 789) = 14
  • 14 contains 1 ten and 4 ones, so we regroup 1 ten.

Step 2: Now add the tens:

  • 2 (from 625) + 8 (from 789) + 1 (regrouped) = 11.
  • 11 contains 1 hundred and 1 ten, so we regroup 1 hundred.

Step 3: Add the hundreds:

  • 6 (from 625) + 7 (from 789) + 1 (regrouped) = 14.

Step 4: Combine the results:

  • 14 hundred, 1 ten, and 4 ones = 1414.

Answer: 1414

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