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A calculator shows 2 ÷ 3 = 0.6666667. Why does the last digit show 7?

Class 9Decimal Expansions of Real NumbersNumber Systems
  • A2/3 is irrational
  • BThe calculator rounds a recurring decimal to fit the screen
  • C2/3 terminates after 7 places
  • DThe 7 is part of the repeating block

Step-by-Step Solution

2/3 = 0.666… never ends; the screen has limited digits, so the calculator rounds the last shown digit up to 7.
Answer: B) The calculator rounds a recurring decimal to fit the screen

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