Final answer:
The value of x is determined by multiplying the given numbers and rounding the result to the correct number of significant figures, which are three for the first calculation (22.4 x 8.314) and four for the second (1.381 x 6.02). The appropriately rounded answers are 186 and 8.31, respectively.
Step-by-step explanation:
To determine the value of x when given the equation 22.4 x 8.314, you need to multiply these two numbers while paying close attention to the proper number of significant figures. The multiplication yields an initial result of 186.2336. However, because the number 22.4 has three significant figures and 8.314 has four, the correct answer must be expressed in the least number of significant figures present, which is three. Therefore, the final answer is rounded to 186.
Similarly, for the calculation of 1.381 x 6.02, the initial multiplication gives 8.31262, which, according to the rules of significant figures, rounds to 8.31, because the least number of significant figures of the numbers involved is four.
Using these steps to calculate and properly round your results, you can determine the correct value of x for various calculations that require consideration of significant figures.