Example of Combined Operations
Math / / July 04, 2021
To achieve the final result of a combined operation we have to first perform the calculation of the multiplication and division operations, and then the addition and subtraction operations. It is important to remember that all the operations inside the parentheses are solved first. Let's analyze an example of combined operations:
Marcel and Paula went shopping at a supermarket and bought: ½ kilo of onions, ¼ kilo of squash, 2 kilos of potatoes, 2 kilos of sweet potatoes and ½ kilo of strawberry. The price of each of these products is: onions $ 24 per kilo, squash $ 32 per kilo, potatoes $ 36 per kilo, sweet potatoes $ 41 per kilo and strawberries $ 46 per kilo.
If they brought a total of $ 500, how much money did they have left over?
We can solve this example through a combined operation:
500 - (24/2 + 32/4 + 36x2 + 41x2 + 46/2)
First we solve the operations that appear inside the parentheses, starting with the divisions and multiplications:
500 – (12 + 8 + 72 + 82 + 23)
Secondly, we carry out the sums that are inside the parentheses, following the order in which they appear:
500 – (197)
And to finish we do the subtraction: 500 - 197 = 303 (final answer)
Keep in mind that if there are parentheses, the operations inside them are performed first, always keeping the following order of priority: multiplication and division, and then addition and subtraction.
In addition, powers, divisions and multiplications have a higher priority than subtractions and additions, by virtue of that they are done first.