How do you evaluate #(1 + 3 * 3)^2 + 8#?
Remember that PEMDAS:
- List item
*Remember that steps 3/4 can happen in either order depending on what appear first when reading the equation from left to right. This same rule applies with steps 5/6 as well *
is the necessary order of operations to solve all equations.
- Solving the Equation:
- to begin, rewrite the problem, and identify the first step according to PEMDAS
- The first letter of PEMDAS, P stands for parenthesis, which are present
- So, we begin by solving inside the parenthesis
- Inside the parenthesis, we restart with PEMDAS: Since there are no parenthesis or exponents INSIDE the parenthesis, we move on to multiplication - 3 x 3 = 9 - so the equation should look like this:
- To finish the parenthesis, we move down PEMDAS - since there is no more multiplication or division, we can add -
- 1 + 9 = 10 - so the parenthesis are removed because they have been simplified, and the equation should look like this:
- Then, we return to the beginning of PEMDAS - since there are no more parenthesis, we can move on to the exponent that is present.
#10^2=100#- so, the number 100 can fill the place of #10^2#in the equation
- Finally, we can move on to the next part of PEMDAS - since there is no more multiplication or division, we can move on addition and subtraction