"Cube Root" Real Numbers PPT Courseware 3

Description

"Cube Root" Real Numbers PPT Courseware 3

Quotes

A chemical plant uses a spherical gas storage tank with a radius of 1 meter to store gas. Now it is necessary to build a new spherical gas storage tank. If its volume must be 8 times the original volume, then its radius should be 8 times the original volume. How many times the radius of the tank?

If the volume of the new gas tank is 4 times the original, how many times is its radius the radius of the original tank?

How to find the radius R?

What mathematical knowledge is needed?

think about it

(1) What is the square root of a number a? How to symbolically represent the square root of a number a (a≥0)?

(2) How many square roots are there of positive numbers? What is the relationship between them? Do negative numbers have square roots? What is the square root of 0?

(3) What is the relationship between square and square root operations?

(4) What are the differences and connections between arithmetic square roots and square roots?

Generally, if the square of a number x is equal to a, that is, x2=a, then the number x is called the square root of a (also called the square root). For example: ±2 is the square root of 4, and the square root of 0 is 0.

Give it a try, can you give a definition of cube root?

Generally, if the cube of a number x is equal to a, that is, x3=a, then the number x is called the cube root (also called the cubic root) of a.

1. Definition of square root

The operation of finding the square root of a number a is called the square root, where a is called the radicand number.

2. Properties of square roots

A positive number has two square roots; 0 has only one square root, which is 0 itself; and negative numbers have no square roots.

1. Definition of cube

The operation of finding the cube root of a number a is called the cube root, where a is called the radicand number.

2. Properties of cube roots

The cube root of a positive number is a positive number; the cube root of a negative number is a negative number; the cube root of 0 is 0.

Class summary

1. Understand the concept of cube roots, be able to use the cubic root sign to represent the cube root of a number, and be able to use cubic operations to find the cube root of a number.

2. You should pay attention to the following 5 points when studying:

(1) The root index "3" in the symbol cannot be omitted;

(2) For cube roots, there is no limit on the radicand number. Positive numbers, zero, and negative numbers all have a cube root;

(3) The difference between square roots and cube roots: a positive number has two square roots but only one cube root; a negative number has no square root but one cube root;

(4) Use formulas flexibly:

(5) Cube and cube root are also inverse operations of each other. We can also use cubic operations to find the cube root of a number, or to test whether one number is the cube root of another number.

Keywords: real number courseware, cube root courseware, Beijing Normal University edition eighth grade mathematics volume PPT courseware, eighth grade mathematics slide courseware download, real number PPT courseware download, cube root PPT courseware download, .ppt format

For more information about the "Cube Roots Real Numbers" PPT courseware, please click the Cube Roots ppt Real Numbers ppt tag.

"Cube Root" PPT courseware 5:

"Cube Root" PPT Courseware 5 Create Situation Import New Lesson Now we are going to make a cube with a volume of 8cm. How long should its edges be? How did you know? What are the lengths of the edges of a cube with a volume of 27cm and a volume of 1000cm? Introduction to self-study..

"Cube Root" PPT courseware 4:

"Cube Root" PPT Courseware 4 Fill in the blanks (1)( )3＝1 (2)( )3＝-1 (3)( )3＝8 (4)( )3＝-8 (5)( )3＝27 ( 6)( )3＝-27 (7)( )3＝64 (8)( )3＝-64 (9)( )3＝0 Think about making a square wooden box so that its volume is...

"Cube Root" PPT courseware 3:

"Cube Root" PPT Courseware 3 Observation and Thinking ( )3=-64 ( )3=1000 ( )3=-1000 ( )3= 0 ( )3=-8/27 Generally, if the cube of a number x is equal to a , that is, x3=a, then this number x is called the cube root of a (also called the cubic root). ..

File Info

Update Time: 2024-10-19

This template belongs to Mathematics courseware Beijing Normal University eighth grade first volume mathematics industry PPT template

Preview