"Understanding Irrational Numbers" Real Numbers PPT

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"Understanding Irrational Numbers" Real Numbers PPT

Part One Content: Basic Knowledge Key Points

Knowledge point 1: Irrational numbers in life and estimating the size of irrational numbers

1. The length and width of a rectangle are 6 cm and 3 cm respectively, then the length of its diagonal is (D)

A. Integer B. Fraction

C. Rational numbers D. Infinite non-repeating decimals

2. In a right triangle, the lengths of the two right sides are 3 and 4 respectively. Which of the following statements is correct (C)

A. The length of the hypotenuse is 25 B. The perimeter is 25

C. The length of the hypotenuse is 5 D. The area is 20

3. If x2=27, then x is between positive integers 5 and 6.

4. As shown in the figure, there is a shaded square in a 3×3 grid. Let the side length of each small square be 1 unit. Please solve the following problem.

(1) What is the area of ​​the shaded square?

(2) What two integers do the side lengths of the shaded square lie between?

Understanding Irrational Numbers PPT, Part 2: Improving Comprehensive Ability

8. Which of the following statements is correct (D)

A. Non-recurring decimals are irrational numbers

B. Fractions are not rational numbers

C. Rational numbers are all finite decimals

D. The side lengths of a square with area 3 are irrational numbers.

9. There are following statements: ① Rational numbers correspond to points on the number axis one-to-one; ② The lengths of the two sides of a right triangle are 5 and 12, so the length of the third side is 13; ③ The approximate number 15,000 is accurate to the tenth place; ④ Irrational numbers are infinite No recurring decimals. The number of errors is (B)

A.4 B.3 C.2 D.1

10. In Rt△ABC, ∠C=90°, AC=3/2, BC=2, then AB is (B)

A. Integer B. Fraction

C. Irrational number D. Undeterminable

11. If x2=10, then x is not a fraction, not an integer, or a rational number. (Fill in “yes” or “no”)

12. Shown in the figure are squares with areas 1, 2, 3, 4, 5, 6, 7, 8, and 9 respectively. There are 3 squares with rational number side lengths and 6 squares with irrational side lengths. .

Understanding irrational numbers PPT, the third part: Expanding exploration and breakthroughs

17. How to convert infinitely recurring decimals into fractions? Please read the following information carefully: Since the number of digits in the decimal part is infinite, it is impossible to write it as a number such as tenths, hundredths, thousandths, etc. Conversion It is necessary to first remove the "infinite decimal part" of the infinite looping decimal. Generally, the expansion method is used to expand the infinite looping decimal ten times, a hundred times or a thousand times... so that the expanded infinite looping decimal is the same as the original infinite loop. The "infinite decimal part" of the decimal is exactly the same, and then the two numbers are subtracted, so that the "big tail" is cut off. Example: Convert 0.3┴"·" and 0.21┴"·" 7┴"·" into fractions .

(1) Convert 0.1┴·7┴· into a fraction;

(2) Convert 0.31┴·3┴· into a fraction.

Keywords: Beijing Normal University edition eighth grade mathematics PPT courseware free download, understanding of irrational numbers PPT download, real numbers PPT download, .PPT format;

For more information about the "Real Numbers Understanding Irrational Numbers" PPT courseware, please click on the Real Numbers PPT Understanding Irrational Numbers PPT tag.

"Understanding Irrational Numbers" real number PPT teaching courseware:

"Understanding Irrational Numbers" Real Number PPT Teaching Courseware Part One: Learning Objectives 1. Understand the definition of irrational numbers and be able to determine whether a number is an irrational number. Distinguish the difference between rational numbers and irrational numbers. 2. Use the calculator to explore that irrational numbers are infinite non-repeating decimals. ..

"Understanding Irrational Numbers" Real Numbers PPT download:

"Understanding Irrational Numbers" Real Number PPT Download Part One: Learning Objectives 1. Understand the basic concepts of irrational numbers. (Key points) 2. Use a calculator to estimate the approximate value of irrational numbers. ... ... ... Understanding Irrational Numbers PPT, Part 2: Introduction to the New Lesson Situation...

"Understanding Irrational Numbers" Real Numbers PPT Courseware 3:

"Understanding Irrational Numbers" Real Numbers PPT Courseware 3 Learning Objectives 1. Understand the concept of irrational numbers and be able to determine whether a number is a rational number or an irrational number. 2. Be able to represent some simple irrational numbers on the number axis. In fact, any rational number can be written as a finite decimal Or infinite loop...

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Update Time: 2024-09-24

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