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The following question has two parts. First, answer part A Then, answer part B

Use mental math to answer the question

Part A
Carter wants to use the model above to solve 273 divide by 13. Explain how he would find parts A, B, and C of the model

Part B
The final quotient for 273 divide by 13 is _______

1 answer

Part A

To solve \(273 \div 13\) using a model, Carter can break down the division process into parts:

  1. Part A: Estimate how many times 13 fits into the first digit (or digits) of 273.

    • Look at the first two digits, 27.
    • Determine how many times 13 fits into 27.
    • Since \(13 \times 2 = 26\) (which is close to 27), Carter would find that 13 fits into 27 about 2 times.

  2. Part B: Subtract and bring down the next digit.

    • Subtract \(26\) (which is \(13 \times 2\)) from \(27\), which leaves \(1\).
    • Now bring down the next digit, which is \(3\), making it \(13\).

  3. Part C: Finally, find how many times 13 fits into 13.

    • Since \(13 \times 1 = 13\), Carter finds that 13 fits into 13 exactly 1 time.
    • Now, combine the two parts together: \(2\) from the earlier step and \(1\) from this step, giving a total quotient of \(21\).

Part B

The final quotient for \(273 \div 13\) is 21.