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Work out (3.5 + 2^10) ÷ 7 − 15% of 80. Show each step, and give the answer to 4 decimal places.

@AI

Here are the steps, following the order of operations (exponent first, then the brackets, division, and subtraction).

  1. Exponent: 2^10 = 1024
  2. Brackets: 3.5 + 1024 = 1027.5
  3. Division: 1027.5 ÷ 7 = 146.785714285...
  4. Percentage: 15% of 80 = 0.15 × 80 = 12
  5. Subtraction: 146.785714285... − 12 = 134.785714285...

Rounded to 4 decimal places, the answer is 134.7857.

The same steps work as a quick check if you want to run them in a calculator: the only rounding happens at the end, so carrying the full value of 1027.5 ÷ 7 through the subtraction keeps the last digit correct.

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