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Instructions

1

Learn to calculate degrees with naturalindicators. When multiplying degrees with the same bases, one obtains the power of a number whose base remains the same, and the exponents add up b ^ m + b ^ n = b ^ (m + n). When dividing degrees with the same bases, the degree of a number is obtained, the base of which remains the same, and the exponents are subtracted, and the divisor index b ^ m: b ^ n = b ^ (m-n) is subtracted from the dividend. When the degree is raised to the power, the degree of the number is obtained, the base of which remains the same, and the indicators are multiplied (b ^ m) ^ n = b ^ (mn) When each product is raised to the power of a product, each factor is raised (abc) ^ m = a ^ m * b ^ m * c ^ m

2

Put the polynomials into multipliers, i.e. represent them in the form of a product of several factors - polynomials and monomials. Carry out the common factor for the brackets. Learn the basic formulas of reduced multiplication: the difference of squares, the square of the sum, the square of the difference, the sum of cubes, the difference of cubes, the cube of the sum and the difference. For example, m ^ 8 + 2 * m ^ 4 * n ^ 4 + n ^ 8 = (m ^ 4) ^ 2 + 2 * m ^ 4 * n ^ 4 + (n ^ 4) ^ 2. It is these formulas that are basic in the simplification of expressions. Use the method of extracting a complete square in a trinomial of the form ax ^ 2 + bx + c.

3

Reduce fractions as often as possible. For example, (2 * a ^ 2 * b) / (a ​​^ 2 * b * c) = 2 / (a ​​* c). But remember that you can cut only multipliers. If the numerator and the denominator of an algebraic fraction are multiplied by the same number different from zero, then the fraction value does not change. You can transform rational expressions in two ways: by chain and by action. The second method is preferable, because It is easier to check the results of intermediate actions.

4

Often in the expressions it is necessary to extract the roots. The roots of even degree are extracted only from non-negative expressions or numbers. The roots of an odd degree are extracted from any expressions.

Instructions

1

Use, for example,default, along with the operating system, a calculator program. It opens by selecting the "Calculator" item in the "Service" folder from the "Standard" sub-section, placed in the "All Programs" section. This section can be found by clicking the "Start" button on the main menu of the operating system. If you use the version of Windows 7, you can simply enter the word "Calculator" in the "Find programs and files" box in the main menu, and then click on the corresponding link in the search results.

2

Enter the value of the angle for which you want tocalculate the trigonometric function, and then click the corresponding button - sin, cos or tan. If you are interested in reverse trigonometric functions (arcsine, arc cosine or arctangent), then first click the button with the inscription Inv - it changes the functions assigned to the control buttons of the calculator to the opposite ones.

3

In earlier versions of the OS (for example, Windows XP)To access the trigonometric functions, open the "View" section in the calculator menu and select the "Engineering" line. In addition, instead of the Inv button in the interface of older versions of the program, there is a checkbox with the same inscription.

4

You can do without a calculator, if you havethere is internet access. There are many services in the network that offer differently organized calculators of trigonometric functions. One of the most convenient options is built into the search engine Nigma. Go to its main page, just enter the value of interest in the search query field - for example, "arctangent 30 degrees". After clicking the "Search!" Button, the search engine calculates and displays the result of the calculation - 0,482347907101025.

You will need

• - textbook;
• - Draft;
• - a pen.

Instructions

1

Rewrite the mathematical expression from the textbook into a draft. Instruct the child to perform all calculations at first in the draft, in order to avoid dirt in the workbook.

2

Calculate the number of necessary actions andthink in what order they should be performed. If this question makes it difficult for you, note that before the others, the actions in brackets are performed, then - division and multiplication; Addition and subtraction are done last. To make it easier for the child to remember the algorithm for the actions to be performed, in the expression above each operator-sign (+, -, *, :) with a thin pencil, put the numbers corresponding to the order of the actions.

3

Proceed to the first action,adhering to the established order. Consider in your mind if the actions are easy to perform orally. If written calculations are required (in a column), record them under the expression, indicating the sequence number of the action.

4

Clearly monitor the sequence ofactions, evaluate what should be subtracted from, what to divide, etc. Very often the answer in the expression turns out to be incorrect because of the mistakes made at this stage.

5

Take care that the child does not use a calculator in the process of calculations, since in this case the whole meaning of studying mathematics, which consists in the development of logic and thinking, is lost.

6

Do not decide the tasks for the child - let himdoes it yourself, you just have to guide his actions in the right direction. Cry to his memory, ask him to remember how the teacher explained the material during the lesson.

7

Performing in order all the actions and finding value the expression that is the answer in the last action, write it in the condition of the expression after the equals sign.

8

If at the end of the tutorial answers are given to the tasks, compare the result with the correct number. In case of data inconsistency, proceed with the recalculation.

What is not an expression

Numerical and algebraic expressions