Final answer:
The square root of 17 multiplied by 2/3 and rounded to two decimal places is approximately 2.75; this involves the calculation of square roots, multiplication, and rounding.
Step-by-step explanation:
To solve the question involving the square root of 17 times 2/3 rounded to two decimal places, we first calculate the square root of 17 and then multiply the result by 2/3. This type of problem involves numerical approximation and the use of significant figures in the calculation.
Here is a step-by-step explanation:
- First, calculate the square root of 17.
- Then multiply that result by 2/3.
- Finally, round off the product to two decimal places, in accordance with the rules of rounding numbers when the digit after the hundredth place is 5 or more.
For instance, if the square root of 17 (which is approximately 4.1231) is multiplied by 2/3, we get approximately 2.7487. When we round this number to two decimal places, it becomes 2.75 due to the digit in the thousandth place being greater than 5.