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Category | Format | Size |
---|---|---|
Beijing Normal University seventh grade mathematics volume 2 | pptx | 6 MB |
Description
"Multiplying Powers with the Same Base" Operations of Integers PPT Courseware 2
Knowledge review
State the multiplication meaning of an, and write the following expressions in multiplication form:
(1) 108=10×10×10×10×10×10×10×10
(2) (-2)4=(-2)×(-2)×(-2)×(-2)
independent inquiry
Please ask students to answer the following questions based on their own understanding.
103 ×102 = (10 × 10 × 10) × (10 × 10) (the meaning of power)
=10×10×10×10×10
=105 (Associative law of multiplication)
Multiplication of 1.1 powers
am · an = am+n
Example 1: Calculation
(1) x2 · x5 (2) a · a4
Solution: (1) x2 · x5 =x2+5 =x7
(2) a · a4 = a 1+4=a5
Is the calculation below correct? If it's wrong, how to correct it?
(1) b5 · b5 = 2b5 ( ) (2) b5 + b5 = b10 ( )
b5 · b5= b10 b5 + b5 = 2b5
(3) x5 ·x2 = x10 ( ) (4) y5 +2 y5 =3y10 ( )
x5 · x2 = x7 y5 + 2 y5 =3y5
(5)c · c3 = c3 ( ) (6) m + m3 = m4 ( )
c · c3 = c4 m + m3 = m + m3
Self-test:
1. Determine whether it is right or wrong:
⑴ 23+24=27 ( ) ⑵ 23×24=27 ( )
⑶ x2·x6=x12 ( ) ⑷ x6·x6 =2x6 ( )
2. Choose:
⑴x2m+2 can be written as ( )
A, 2xm+1 B, x2m+x2
C.x2·xm+1 D.x2m·x2
⑵In the equation a2·a4·( )=a11, the algebraic expression in the brackets should be ( )
A, a7 B, a6 C, a5 D, a4
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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: ..
File Info
Update Time: 2024-07-26
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