Video Transcript
Calculate 30 plus six divided by
three all squared plus 21 multiplied by two.
In order to calculate this
expression, we need to recall the order of operations. One way of remembering how to do
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 in four steps by grouping multiplication and division as well
as addition and subtraction. The calculation six divided by
three appears inside parentheses, so we calculate this first. Six divided by three equals
two. So our expression simplifies to 30
plus two squared plus 21 multiplied by two.
Next, we notice that the second
term contains an exponent. Two squared is equal to four. So the expression simplifies to 30
plus four plus 21 multiplied by two. Next, we perform the
multiplication. 21 multiplied by two is equal to
42, leaving us with 30 plus four plus 42.
There are two addition signs. And whilst addition is associative,
convention dictates that we work from left to right. 30 plus four is equal to 34, and
adding 42 to this gives us 76. We can therefore conclude that 30
plus six divided by three all squared plus 21 multiplied by two is equal to 76.
