Answer :
Answer:
Step-by-step explanation: Ross's reasoning is incorrect. Let's clarify the comparison step by step:
Square Root of 11: Approximate value is 11≈3.316611
≈3.3166.
5.4 with 4 repeating: This can be expressed as 5.4444…5.4444….
Ross's statement:
Ross claims that 11=5.511
=5.5.
This statement is incorrect. 1111
is approximately 3.31663.3166, not 5.55.5.
Now, let's compare 1111
and 5.4444…5.4444…:
11≈3.316611
≈3.3166
5.4444…5.4444… is a repeating decimal, which equals 499949.
To determine which is greater:
11≈3.316611
≈3.3166
5.4444…=499≈5.44445.4444…=949≈5.4444
Clearly, 5.4444…5.4444… (which equals 499949) is greater than 11≈3.316611
≈3.3166.
Therefore, Ross is incorrect in stating that 11=5.511
=5.5. In fact, 1111
is less than 5.4444…5.4444…. The correct comparison is 5.4444…>115.4444…>11
.
So, Ross's reasoning is not correct based on the actual values of 1111
and 5.4444…5.4444….
