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Create a blackboard plan for subtracting two-digit numbers, including examples with and without borrowing, and visual aids for explanation.

Mathematics

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Answer

18\text{18}

Here is a sample blackboard plan with descriptions of the pictures, based on the image you sent:

Blackboard Plan: Subtracting Two-Digit Numbers (with Borrowing)

1. Let's Subtract Vertically!

  • Problem: 74−3274 - 32
  • Calculation: 74−3242\begin{array}{c} 74 \\ -32 \\ \hline 42 \\ \end{array}

2. How to Subtract 45−2745 - 27 (Using Vertical Form)

  • Problem: 45−27\begin{array}{c} 45 \\ -27 \\ \hline \end{array}
  • Step 1: Look at the Ones Place
    • Can we take 7 from 5? No.
    • (Picture: Show 4 tens blocks and 5 single blocks.)
  • Step 2: Borrow from the Tens Place
    • Take 1 ten from the 4 tens. Now we have 3 tens.
    • Add 10 ones to the 5 ones. Now we have 15 ones.
    • (Picture: Show 3 tens blocks and 15 single blocks. An arrow shows one ten block changing into ten single blocks.)
  • Step 3: Subtract the Ones
    • 15−7=815 - 7 = 8
    • (Picture: Show 3 tens blocks and 15 single blocks, with 7 single blocks crossed out, leaving 8 single blocks.)
  • Step 4: Subtract the Tens
    • 3−2=13 - 2 = 1
    • (Picture: Show 3 tens blocks, with 2 tens blocks crossed out, leaving 1 ten block.)
  • Final Calculation: 043515−27018\begin{array}{c} \phantom{0}\overset{3}{\cancel{4}}\overset{15}{\cancel{5}} \\ -27 \\ \hline \phantom{0}18 \\ \end{array}
  • The answer is 18\boxed{\text{18}}.

3. Practice These!

  • 41−1941 - 19
  • 70−3670 - 36
  • 81−4881 - 48
  • 62−2462 - 24
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