Final answer:
To evaluate the expression using the GEMDAS or PEMDAS rule, follow the order of operations: exponents, division, and subtraction. The final value of the expression is 8.67.
Step-by-step explanation:
To evaluate the expression 10 - 2 + 6 : 3² using the GEMDAS or PEMDAS rule, we follow the order of operations. GEMDAS stands for Grouping symbols, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). PEMDAS is the same, but it puts the addition and subtraction before the multiplication and division.
Starting with the exponents, let's calculate 3². Squaring means multiplying a number by itself. So, 3² equals 3 multiplied by 3, which is 9.
Now let's divide 6 by 9: 6 ÷ 9 equals 0.67 (rounded to two decimal places). Finally, subtract 2 from 10: 10 - 2 equals 8. So, the final value of the expression is 8 + 0.67, which equals 8.67.