Calculate five minus three cubed
minus seven plus four multiplied by six.
We begin by noticing that the
calculations five minus three and four multiplied by six are inside parentheses or
brackets. In order to calculate the
expression, we recall the order of operations. One way of doing this is using the
acronym PEMDAS. The letters stand for parentheses,
exponents, multiplication, division, addition, and subtraction. It is worth noting that it is also
common to write this as four steps, where we group multiplication and division as
well as addition and subtraction.
Returning to our question, we begin
by calculating the expressions in the parentheses. Five minus three equals two, and
four multiplied by six equals 24. So our expression simplifies to two
cubed minus seven plus 24. Next, we notice that the first term
contains an exponent. Since two cubed is equal to eight,
we now have eight minus seven plus 24.
We are now left with two
operations, addition and subtraction. Whilst addition comes first in the
acronym, we can perform these in either order. And convention dictates we work
from left to right. Eight minus seven equals one, and
adding 24 to this gives us 25. Five minus three cubed minus seven
plus four multiplied by six is therefore equal to 25.