"Multiplication of powers with the same base" PPT courseware for operation of integers

Description

"Multiplication of powers with the same base" PPT courseware for operation of integers

learning target

1. Experience the process of exploring the properties of multiplication of powers with the same base, further understand the meaning of power, and develop reasoning ability and organized expression ability.

2. Understand the operational properties of multiplication of powers with the same base and be able to solve some practical problems.

Do it

1. Calculate the following formulas:

(1)102×103

(2)105×108

(3) 10m×10n (m, n are both positive integers).

what have you found?

2. What does 2m×2n equal? What about (1/7)m×(1/7)n?

(m, n are both positive integers)

Discuss

What is am · an equal to (m, n are both positive integers)? Why?

Example 1. Calculation:

(1)(-3)7×(-3)6; (2) (1/111)3×(1/111);

(3) -x3·x5; (4) b2m·b2m+1.

Example 2 The speed of light is about 3×108 kilometers/second, and it takes about 5×102 seconds for sunlight to reach the earth. How far is the earth from the sun?

Solution: 3×108×5×10²=15×1010=1.5×1011 (km)

The Earth is approximately 1.5×108 kilometers from the Sun.

calculate:

(1) x10 · x (2) 10×102×104

(3) x5 ·x ·x3 (4) y4·y3·y2·y

(1) x10 ·x = x10+1= x11

(2) 10×102×104 =101+2+4 =107

(3)x5 ·x ·x3 = x5+1+3 = x9

(4)y4 ·y3 ·y2 ·y= y4+3+2+1= y10

(2) Supplementary exercises: Judgment (mark “√” if correct, “×” if incorrect)

(1) x3·x5=x15( ) (2) x·x3=x3 ( )

(3) x3+x5=x8( ) (3)x2·x2=2x4 ( )

(5)(-x)2 · (-x)3 = (-x)5= -x5( )

(6)a3·a2 - a2·a3 = 0( )

(7)a3·b5=(ab)8( ) (8)y7+y7=y14 ( )

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For more information about the PPT courseware "Operations of Multiplication of Integers with Powers of the Same Base", please click the "Operations of Multiplication of Integers with Powers of the Same Base ppt" ppt tag.

"Multiplication of powers with the same base" PPT download:

"Multiplication of Powers with the Same Base" PPT Download Part One: Classroom Questions Question: An electronic computer can perform 1014 operations per second. How many operations can it perform in 103 seconds? 1014103＝(1010)(101010)＝（101010）＝1017 That is:..

"Multiplication of powers with the same base" PPT:

"Multiplication of Powers with the Same Base" PPT Part One: Knowledge Reproduction Can you tell the meaning of an? Represents the operation of the product of n a's. Fill in the blanks: 1. 2222=2 ( ) 2. aaaaaa=a ( ) 3. aaaa=a ( ) Summary rule The multiplication rule for powers with the same base: ..

"Multiplication of powers with the same base" PPT courseware 3:

"Multiplication of Powers with the Same Base" PPT Courseware 3 The manned space flight of the spacecraft is a great feat of our country's aerospace industry. It flies at a speed of about 104 meters/second and flies for about 105 seconds per day. How many meters does it fly every day? Answer: 104105=109 (meters) Answer: ..

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Update Time: 2024-10-05

This template belongs to Mathematics courseware Beijing Normal University seventh grade mathematics volume 2 industry PPT template

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