QuestionCalculate the value of $\frac{6.039-8.046}{\sqrt{3.943}}$ and round to two decimal places.

Studdy Solution

STEP 1

Assumptions1. We are given the expression $\frac{6.039-8.046}{\sqrt{3.943}}$ . . We are asked to compute the result of this expression.
3. We are asked to round the result to two decimal places, if needed.

STEP 2

First, we need to calculate the numerator of the fraction. This involves subtracting8.046 from6.039.
$umerator =6.039 -8.046$

STEP 3

Calculate the value of the numerator.
$umerator =6.039 -8.046 = -2.007$

STEP 4

Next, we need to calculate the denominator of the fraction. This involves taking the square root of3.943.
$Denominator = \sqrt{3.943}$

STEP 5

Calculate the value of the denominator.
$Denominator = \sqrt{3.943} \approx1.986$

STEP 6

Now that we have the values of the numerator and the denominator, we can calculate the value of the fraction.
$Fraction\, value = \frac{umerator}{Denominator}$

STEP 7

Plug in the values for the numerator and the denominator to calculate the fraction value.
$Fraction\, value = \frac{-2.007}{1.986}$

STEP 8

Calculate the fraction value.
$Fraction\, value = \frac{-2.007}{1.986} \approx -1.01$ The estimated result of the computation is -1.01, rounded to two decimal places.

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