Determine the value of two
multiplied by 1.3 plus 1.5 using the order of operations.
One way of remembering the order of
operations is using the acronym PEMDAS. The letters stand for parentheses,
exponents, multiplication, division, addition, and subtraction. Whilst we perform the operations in
order from top to bottom, it is important to remember that multiplication and
division, along with addition and subtraction, can be done in either order. If we have more than one of these
pairs of signs, we work from left to right.
In this question, we have no
parentheses or brackets and no exponents or indices. This means that our first step is
multiplication. We must multiply two by 1.3. Multiplying by two is the same as
doubling a number. So two multiplied by 1.3 is
2.6. For a more complicated calculation,
we could’ve removed the decimal point and then put it back in afterwards. There are no more multiplication
signs and there is no division sign, so our next step is to add 2.6 and 1.5. Whilst it doesn’t matter with
addition which order we write the numbers, as a general rule, it is important to
keep the numbers in the same order. 2.6 plus 1.5 is equal to 4.1. We could work this out using the
column method if required. The value of two multiplied by 1.3
plus 1.5 is 4.1.