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A middle school teacher posed the following question to the class: "Using the digits 2,3,6 and 9 only once make a decimal number closest to 64" Student A responded: "Its 62.39" Student B responded: "I think I can arrange the digits again to get a number that is more closer to 64" Which of the following statements is/are correct in the above context? (a) The question assesses the students on their ability to compare two decimal numbers. (b) The response of student B is wrong as 62.39 s the correct answer. (c) There can be multiple answer to the given question. (d) The teacher can initiate the discussion and let students critically analyse the reasoning of others. Choose the correct option.

A middle school teacher posed the following question to the class: "Using the digits 2,3,6 and 9 only once make a decimal number closest to 64" Student A responded: "Its 62.39" Student B responded: "I think I can arrange the digits again to get a number that is more closer to 64" Which of the following statements is/are correct in the above context? (a) The question assesses the students on their ability to compare two decimal numbers. (b) The response of student B is wrong as 62.39 s the correct answer. (c) There can be multiple answer to the given question. (d) The teacher can initiate the discussion and let students critically analyse the reasoning of others. Choose the correct option. Correct Answer (a) and (d)

A decimal number is one in which the whole number and fractional parts are separated by a decimal point. For example- 5.69 is a decimal number.

Key PointsApproximation in mathematics is finding a number that is nearest or closest but not exactly equal to a number. it assesses the students' ability to compare two decimal numbers.

  • In the above question, the possible decimal numbers that can be formed by using digits 6,3,2, and 9 are- 62.39, 63.29, 69.23, 69.32, 62.93, 63.92, etc.  
  • But, the decimal number that is closest to 64 will be only 63.92 
  • Hence, there can be only one possible answer to this question i.e. 63.92.
  • The response of student B was correct that by rearranging the digits again, we can get a number closer to 64.  

Hence, we conclude that the correct options are (a) and (d).

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