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Express 284 / 9 in decimal form.

Mathematics

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Answer

284÷9=31.5‾284 \div 9 = 31.\overline{5}

Step-by-step solution

4 steps

To express 284÷9284 \div 9 in decimal form, we perform the division:

  1. Divide 28 by 9.

    289=3 with a remainder of 1\frac{28}{9} = 3 \text{ with a remainder of } 1
  2. Bring down the next digit, 4, to form 14.

    Divide 14 by 9.

    149=1 with a remainder of 5\frac{14}{9} = 1 \text{ with a remainder of } 5

    So far, the quotient is 31.

  3. Add a decimal point to the quotient and a zero to the remainder.

    Now we have 50. Divide 50 by 9.

    509=5 with a remainder of 5\frac{50}{9} = 5 \text{ with a remainder of } 5
  4. Add another zero to the remainder to form 50.

    Divide 50 by 9.

    509=5 with a remainder of 5\frac{50}{9} = 5 \text{ with a remainder of } 5

    We can see a pattern here: the digit 5 will repeat indefinitely.

    Therefore, 284÷9284 \div 9 in decimal form is:

    284÷9=31.555...284 \div 9 = 31.555...

    This can be written with a bar over the repeating digit.

    284÷9=31.5‾284 \div 9 = \boxed{31.\overline{5}}
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