Question

In Round 3 of the numeric musical chair game, this is how 7, 6, and 8 sit when the music stops.

In Round 4, 6 sits on the Hundreds chair, 7 on the Tens, and 8 on the Ones.
(i) Which number’s place value has decreased?
(ii) Which place’s face value has increased?

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

Answer 1

The correct option is B (i) 7 (ii) Tens

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

Steps:
$\bullet$ The new arrangement is: 6 sits on the Hundreds chair, 7 on the Tens, and 8 on the Ones.
$\bullet$ The new number is 678.
$\bullet$ From 768 to 678, the place values of 7 and 6 have changed. 7 Hundreds is 7 Tens, 6 Tens is 6 Hundreds. 8 remains as it is.
$\bullet$ Similarly, Hundreds and Tens places’ face values have changed.
$\bullet$ Here, 7’s place value has decreased as it has come down from 700 to 70.
$\bullet$ Similarly, Tens place had 6 before, and now it has 7. Thus, its face value has increased.
$\bullet$ Hence, option A is the correct answer.


Error Analysis Question:
Q: The face value of 6 has increased as it has moved to the Hundreds place. Am I correct?
A: No! 6 in itself is the face value, first at Tens place and now at Hundreds place. 6’s place value has increased from 60 to 600.