Question 2 (1 point): Find the value of x. Round your answer to the nearest tenth. X = 16/27.

Mathematics · College · Thu Feb 04 2021

Answered on

To find the value of \( x \) when given \( x = \frac{16}{27} \), you need to perform division. Divide 16 by 27 to get the decimal value of \( x \).

Here's a step-by-step method to perform this division:

1. Set up the division, with 16 as the dividend and 27 as the divisor. 2. Since 16 is less than 27, we need to add a decimal point and zeros to the right of 16 to allow the division to proceed. 3. Determine how many times 27 goes into the various multiples of 10 (and later 100, 1000, etc.) of 16 (160, 1600, etc.). 4. Perform the division until you reach a reasonable level of precision or until you notice a repeating pattern if the decimal becomes repeating.

Let's perform the calculation:

\( 16 ÷ 27 = 0.59259 \) (This is a rounded value to five decimal places)

But we need to round it to the nearest tenth, which is the first decimal place:

\( 0.59259 \) rounded to the nearest tenth is \( 0.6 \).

Therefore, \( x ≈ 0.6 \) when rounded to the nearest tenth.