Question

In Round 1 of a numeric musical chairs game, 7, 6, and 8 sit at the following places when the music stops.

In Round 2, 7 sits on the Hundreds place, 8 on the Tens, and 6 on the Ones.
(i) The place values of which numbers have changed?
(ii) The face values of which places have changed?

• A. (i) 6 and 8 (ii) Tens and Ones
• B. (i) 7 and 8 (ii) Tens, Hundreds, and Tens
  
• C. (i) 6 and 7 (ii) Hundreds and Ones
• D. (i) 8 and 6 (ii) Hundreds and Tens

Answer 1

The correct option is A (i) 6 and 8 (ii) Tens and Ones

Say: On our screen, we have an arrangement of 3 numbers at three places of Hundreds, Tens, and Ones.
They reshuffle, and they are now arranged like this: 7 sits on the Hundreds chair, 8 on the Tens, and 6 on the Ones.

Steps:
$\bullet$ The new arrangement is: 7 sits on the Hundreds chair, 8 on the Tens, and 6 on the Ones.
$\bullet$ The new number is 786.
$\bullet$ From 768 to 786, the place values of 6 and 8 have changed. 6 Tens is now 6 Ones and 8 Ones is now 8 Tens.
$\bullet$ Similarly, the fave values of Tens and Ones places have changed.
$\bullet$ Hence, option D is the correct answer.


Probing Question:
Q: The place value of 6 has changed but has it increased or decreased?
A: 6 Tens is 60 and 6 Ones is 6. So, in the new arrangement, 6’s place value has decreased.