Question

Evaluate the following expressions using PEMDAS rule.
10 - 2 + 6 : 3²

Answer 1

The evaluated expression 10 - 2 + 6 : 3² using PEMDAS is 8 2/3. The steps involve calculating the exponent, division, and then performing the addition and subtraction.

Step-by-step explanation:

The question asks to evaluate the expression 10 - 2 + 6 : 3² using the PEMDAS rule, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). To solve this expression, we will follow the order of operations given by PEMDAS.

Step-by-Step Solution

1. First, we handle any operations inside parentheses, but there are none in this expression.
2. Second, we calculate any exponents. In this case, we have 3², which is 3 times 3, equal to 9.
3. Third, we perform any multiplication and division from left to right. The expression has 6 divided by 9 (represented by the colon), which is 6/9. Simplifying 6/9 gives us 2/3.
4. Finally, we perform the addition and subtraction from left to right. We have 10 - 2 + (2/3). Subtracting 2 from 10 gives us 8, and adding 2/3 to 8 gives us 8 2/3.

Therefore, the evaluated expression is 8 2/3.