When solving equations it is important to follow the rules for order of operations.
They are summarized as follows.
Brackets, exponents, division, multiplication, addition and subtraction.
Do all calculations inside the brackets first.
Then simplify numbers with exponents.
Division and multiplication.
Divide and multiply numbers in order from left
to right, as you come to them in the equation.
Addition and multiplication and subtracts numbers in order from left
to right
as you come to them in the equation.
An easy way to remember the proper order is BEDMAS B stands for
brackets, E stands for exponents, D stands for division, M stands
for multiplication, A stands for addition, and S stands for subtraction.
Now let us look in an example.
Eight plus five bracket four minus one bracket
to the power of three equals. We must first
calculate what's inside the brackets eight plus five,
four minus one is three, all to the power of three.
Next we must calculate the exponents, three to the power of three.
To do this, press the
button three on your calculator, and then
the button x to the y and then the button three,
and finally equals. The final answer will be 27, or
press three, then press the button with the arrow that looks
like this, representing to the power of. Then press
three and then press equals. So let's put this in our equation.
Eight plus five three to the power of three is 27.
Next
we must multiply the numbers five and 27 together.
So eight plus, five times 27 in your calculator is 135.
And finally we're going to finish off with addition:
eight plus 135 is 143. Now let's look at another example.
[SOUND] Three plus two to the power of
two, plus 10 divided by two. So, the
first thing we need to do is calculate what's inside the brackets.
Three plus two is five to the power
of two plus 10 divided by two.
Next, we have to calculate the exponents. Five
to the power of two is 25 plus 10,
divided by two. Next we calculate the division.
25 plus 10 divided by two is five.
And we finish off with addition. 25
plus five is 30.