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Actions with numbers in standard form examples. Standard form of a positive number

The number of three-digit numbers. Accommodation. How many schedule options can you make? How many ways you can arrange 5 volumes on a bookshelf. Selecting and rearranging objects. The composition of the selected objects. Number of permutations. Combinations. Permutation formula. The number of possible combinations. There are seven teams participating in the tournament. Combinations. There are many ways you can form a brigade.

"" Probability "Grade 9" - Find the expected number of crucians. The lowest of the two points dropped. The number of points is a multiple of 3. Bernoulli's test. The number of points dropped. The number of points dropped on one die. The likelihood of success. Dispersion properties. Probability theory and statistics. The mathematical expectation of a random variable. Distribution of a random variable. Dispersion of the number of successes. The highest of the two points dropped. The sum of the points dropped by two throws of the dice.

"Algebra" Geometric progression "" - Write down the first five terms of the geometric progression. Choose the statement that suits you. Definition of a geometric progression. Execution check. Write any sequence of numbers in one of the columns. Geometric progression. “Math cannot be learned by watching a neighbor do it…” Ivan Niven. Mathematical dictation. Personal goals. Physical education. Compare math objects in each group.

"The concept of an algebraic fraction" - Raising a rational fraction to a negative power. Perform division. Degree with natural and whole exponents. Reduce to a standard polynomial. Actions with algebraic fractions. Methods for factoring a polynomial. An algebraic fraction is an expression. Perform verbally. Find the numerical value of the expression after simplifying it. The sum of monomials is called a polynomial. Check if the action is correct.

"" Quadratic function "Grade 9" - Y \u003d a (x-m) 2 + n. Properties of a quadratic function. Function y \u003d ax2 + g. The branches of the parabola are directed upwards. Shift of the graph of the function y \u003d ax2 along the coordinate axes. Function properties. Schedule. A quadratic function is a function that can be specified by a formula. Function y \u003d a (x - p). Function graph. Graph and properties of the function y \u003d ax2. Plot the function y \u003d x2-4x + 5. Parabola construction scheme. Function y \u003d x2. Construction of a parabola by points.

"Numerical functions" Grade 9 "- Abscissas of points of intersection with the OX axis. Function definition. Function zeros. Function definition area. The function y \u003d f (x) is called odd. Function properties. Function range. Monotone. Even and odd functions (even and odd). Numeric functions.

















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Lesson type: a lesson in the explanation and primary consolidation of new knowledge.

Equipment: route sheet (MR) ( Attachment 1 ); technical equipment of the lesson - a computer, a projector for demonstrating a presentation, a screen. Computer presentation in Microsoft PowerPoint.

DURING THE CLASSES

I. Organization of the beginning of the lesson

Hello! Please check that you have handouts on your desk and that you are ready for the lesson.

II. Communication of the topic, purpose and objectives of the lesson

- Before starting to study a new topic, complete the tasks on the first page of the route sheet (check on the screen). If you completed the tasks correctly, then you should receive the word - STANDARD.
What is a standard? Where did you meet this word? What does it mean? (SCREEN)
Standard (from English - standard) Sample, standard, model, which are compared, compared similar objects, processes. (Universal encyclopedic dictionary). That is, when they talk about a standard, it is easier for people to imagine what it is about. And today we will talk about the standard form of a number. So this is the topic of today's lesson.

III. Actualization of students' knowledge. Preparation for active educational and cognitive activities at the main stage of the lesson

- Let's make a lesson plan:

  1. Reiteration
  2. Determination of the degree of a number;
  3. Determination of the degree of a number with a negative exponent;
  4. Degree properties;
  5. Determination of the standard form of a number;
  6. Actions with numbers written in the standard form;
  7. Application.

In the world around us, we are faced with very large and very small numbers. We already know how to write large and small numbers using the power of the number.

- Is it convenient to write numbers like this? Why? (Takes up a lot of space, takes a lot of time, and is difficult to remember.)
- What do you think you found a way out of this situation? (Write numbers using powers.)

Write down the mass of the Earth using the power of a number. 598 10 25 g. Now write down the mass of the hydrogen atom. 17 10 –20 g. Is it possible to write these numbers differently, using powers? Try it! 59.8 10 26, 5.98 10 27; 0.598 10 28; 5980 10 24.
17 10 –20 ; 1,7 10 –19 ; 0,17 10 –18 ; 170 10 –21 ;

- All results are correct. But can we talk about a standard recording? How to be? (Agree on a single notation for numbers.)
- Try to discuss with your neighbor, which record should be uniform, standard?
- What should be the factor in front of the power of the number 10, so that it is convenient and REMEMBER the number and represent it?

IV. Assimilation of new knowledge

- Open, please, textbooks p. 35 and find the definition of the standard type of number and write it down in the route sheets.
- The standard type of number is a record of the form and 10 n, where 1 < and < 10, n – целое. n – называют порядком числа.

- Any positive number can be written in the standard form !!!
Why? (By definition. Since the first factor is a number belonging to the interval from)