Midnight I argued with my husband how to solve examples with brackets, he managed to shed light on an important mathematical question.

Solving examples with brackets The kids are already in second grade. And although all this knowledge is subsequently repeatedly fixed in solving increasingly complex examples, sometimes it does not give a tangible result. And the child does not learn the main principles of the decision. And therefore, in adulthood can not cope with such tasks.

Today's edition. "Site" I would like to address a few examples with brackets. In the meantime, we will remember what rules should be followed in this case. And in general, such a small mathematical warm-up is quite useful for the mind. Therefore, we advise you to regularly solve interesting problems and examples for both adults and children.



Solving examples with brackets

1. The first task seems pretty simple. However, brackets are able to confuse even recognized goodies, not to mention the tertiary, especially the two. Try to solve this example step by step without making a single mistake.
   
   
   
   
2. In the second task, again, there are brackets, and division, and multiplication. However, it seems that you will have to perform mathematical operations in a different order. Try to remember the necessary rules to follow in this situation. Remember that there is only one correct answer.
   
   
   
   
3. The third example is more complex. But if you know what actions to perform in what order, then it is easy to find the right answer. Also remember to check our explanations and answers in the second part of the article.
   
   
   
   

First of all, let’s recall simple rules that many adults may have already forgotten. If there are no brackets in the example, then all mathematical operations are performed from left to right. But at the same time, division and multiplication are performed immediately, and addition and subtraction later.

In the examples with brackets, everything is a little more complicated, but not much. Here we first do everything in brackets (as described above), and then perform all mathematical operations from left to right, given that division and multiplication again have a higher priority.

1. Given the described algorithms, in the first task, we first perform actions in brackets, then divide, and only multiply at the very end. Thus we get: 10 ÷ 5 × 2 = 2 × 2 = 4.
2. In the second example, we first perform actions in parentheses, then multiply, and only finally divide. As a result, our example becomes as follows: 10 × 4 ÷ 2 = 40 ÷ 2 = 20.
3. Now the last example probably does not seem to the reader as scary as before. First, we calculate that in brackets we have 10 – 2 × 3 = 10 – 6 = 4. Then the whole example is solved as follows: 4 + 2 × 4 = 4 + 8 = 12.
   
   
   
   

We hope that now solving examples with brackets will not be a difficult task for you. And if you think these tasks are too simple, then try to solve more complex examples that we published recently. Can you make no mistakes? Don’t forget to share your decisions in the comments.