Question

what does it mean if "your answer is assumed to be rounded to the highest power possible?" How do I input my answer if it is 2.0198??

Answer 1

Power:

By power we mean the number of times a number is multiplied by itself.

Like, for 32 the power is 2.

Rounding:

By rounding is a method of approximating a number to its nearest value (here greatest power) but keeping its value close to what it was originally.

Ex 1:

We can round the decimal places like: 2.888888 ≈ 3 and 1.0004 ≈ 1

Ex 2:

We can round 20 into 16 if we are rounding to the powers of 2.

(as we know 24 =16 and 25 = 32 so nearest number to 20 is 16)

By rounding to the highest power works almost in a similar way like a Ceil function (It returns the smallest integer that is greater than or equal to the given value)

So, summing all the above concepts we can say that rounding a given a number to the highest power possible is that we will round the number to its highest Integral power 2,3,….. but will accept the nearest one.

So, the answer will be:

2.0198 ≈ 4 ≈ 22 (it is the highest power of 2).