Which is the decimal form of 7/11 rounded to the nearest tenth?
The Correct Answer and Explanation is:
To find the decimal form of 711\frac{7}{11}117, we need to divide 7 by 11. Using long division or a calculator, the result is:711=0.6363636363…\frac{7}{11} = 0.6363636363…117=0.6363636363…
This is a repeating decimal, where the digits “63” repeat indefinitely. To round this decimal to the nearest tenth, we look at the first two digits after the decimal point, which are “63.” The digit in the second decimal place (3) is less than 5, so we round down.
Thus, the decimal form of 711\frac{7}{11}117 rounded to the nearest tenth is:0.60.60.6
Explanation:
When we divide 7 by 11, we get a repeating decimal. The repeating block is “63”, which continues forever. However, when rounding to the nearest tenth, we focus on the digit in the first decimal place and the digit in the second decimal place.
- The first decimal place is 6.
- The second decimal place is 3.
Since the second decimal place (3) is less than 5, we do not round up. The result is 0.6, which is the value of 711\frac{7}{11}117 rounded to the nearest tenth.
It’s important to remember that rounding is a technique used to simplify numbers for easier use, but in certain contexts, you may need more precision, like using the full decimal or further rounding.
