"Square Root" PPT Courseware 4

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"Square Root" PPT Courseware 4

Review and Reflection

1. What operations have we learned? Which of them are inverse operations of each other?

Answer: There are five operations: addition, subtraction, multiplication, division, and exponentiation.

Addition and subtraction are reciprocal; multiplication and division are reciprocal.

2. Is there any inverse operation for exponentiation?

(1) The area of ​​the square in Figure 1 is __________;

(2) The side length of the square in Figure 2 is __________;

(3) In addition to 10, is the square of any number also 100?

square root:

The operation of finding the square root of a number a (a≥0) is called square root. The square root operation is to find the base if the exponent and power are known.

Can all numbers be squared?

No, only positive numbers and zero can perform the square root operation.

Since square and square root are inverse operations of each other, you can use the square operation to find the square root of a number, and you can also use the square operation to check whether one number is the square root of another number.

Lesson exercise 1

1. Check whether the first number in the following questions is the square root of the following number.

(1) ±12, 144 (2) ±0.2, 0.04

(3) 102, 104 (4) 14, 256

2. Multiple choice questions

(1) The square root of 0.01 is ( )

(A) 0.1 (B) ±0.1 (C) 0.0001 (D) ±0.0001

(2)∵ (0.3)2 = 0.09 ∴ ( )

(A) 0.09 is the square root of 0.3. (B) 0.09 is 3 times 0.3.

(C) 0.3 is the square root of 0.09. (D) 0.3 is not the square root of 0.09.

Exercise 2:

Decide whether the following statements are correct:

(1) The square root of -9 is -3; ( )

(2) The square root of 49 is 7; ()

(3) (-2) The square root of 2 is ±2; ( )

(4)-1 is the square root of 1; ( )

(5) If X2 = 16 then X = 4 ( )

(6) The square root of 7 is ±49. ( )

Complete definition of arithmetic square root

The positive square root of a positive number a is called the arithmetic square root of a, and the square root of 0 is also called the arithmetic square root of 0.

Explore and communicate

(1) The arithmetic square root of 9 is 3

(2) The arithmetic square root of √9 is √3

(3) The arithmetic square root of 0.01 is 0.1

(4) The arithmetic square root of 10 is √10

(5) The arithmetic square root of (-4)² is 4

(6) The arithmetic square root is equal to itself is 0 or 1

Summary and summary

1. This lesson introduces a new operation------square root operation. Square root and power are inverse operations of each other, thus completing the six basic algebraic operations in elementary algebra (addition, subtraction, multiplication, division, Power, square root), which is of great significance to the learning of algebra content.

2. This section mainly learns: ① The concept of square roots; ② The properties of square roots: a positive number has two square roots, and they are opposites of each other. The square root of 0 is 0, and negative numbers have no square roots; ③ The expression method of square roots; ④ Find The operation of the square root of a number - the square root. The difference and connection between the square operation and the square root operation should be distinguished.

3. The definition and expression of arithmetic square roots

Inquiry activities

Observing the picture on the right, the side length of each small square is 1, and we can get that the area of ​​the small square is 1.

(1) What is the area of ​​the shaded square in the picture? What is its side length?

(2) Estimate the value of √2 between which two integers?

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For more information about the "Square Root" PPT courseware, please click the Square Root ppt tab.

"Square Root" PPT courseware 9:

"Square Roots" PPT Courseware 9 Learning Objectives 1. Be able to tell the meaning of arithmetic square roots, and be able to use symbols to represent the arithmetic square roots of positive numbers. (Key Points) 2. Be able to use square operations to find the arithmetic square roots of certain non-negative numbers. (Key Points) 3 . Be able to understand and apply the properties of square roots in arithmetic..

"Square Root" PPT courseware 8:

"Square Root" PPT Courseware 8 [Learning Objectives] (Only when you have a goal in mind will you have a direction in learning) 1. Understand the definition of square root, master the properties of square root, and use the root sign to represent the square root of a number. 2. Know that the square root and the square are mutually exclusive The inverse operation will make use of this reciprocal operation.

"Square Root" PPT courseware 7:

"Square Root" PPT Courseware 7 Knowledge Review ⑴ The square root of 25 is 5. ⑵ The square root of 81 is 9. ⑶ The square root of 49/64 is 7/8. ⑷ The square root of 0 is 0. ⑸ Does -4 have a square root? Arithmetic square root The positive square root a of a positive number a is called the arithmetic square of a..

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Update Time: 2024-07-06

This template belongs to Mathematics courseware Hebei Education Edition Eighth Grade Mathematics Volume 1 industry PPT template

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