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Category | Format | Size |
---|---|---|
People's Education Press Eighth Grade Mathematics Volume 1 | pptx | 6 MB |
Description
"Division of Integers" Multiplication, division and factorization of integers PPT courseware
Do it
Calculate each of the following questions and give your reasons:
(1) (x5y) ÷x2 ;= x3y ;
(2) (8m2n2) ÷(2m2n) ;
(3) (a4b2c)÷(3a2b) .
It can be calculated using a method similar to fractional reduction.
Write division expressions in fraction form and powers in product form, and reduce them.
Omitting fractions and their operations, the above process is equivalent to:
(1)(x5y) ÷x2 =(x5÷x2 )·y =x5−2·y
(2) (8m2n2) ÷(2m2n) =(8÷2 )·(m2÷m2 )·(n2÷n )=(8÷2 )·m2−2·n2− 1
How to divide a monomial by a monomial?
For monomial division, divide the coefficients and powers with the same base respectively and use them as factors of the quotient; for letters that are only included in the dividend, use its exponent together as a factor of the quotient.
Quotient = coefficient • Powers with the same base • Individual powers in the dividend
Summarize, summarize and compare
Divide a monomial by a monomial: divide the coefficients and powers with the same base respectively as factors of the quotient. For letters that are only included in the dividend, use its exponent as a factor of the quotient.
To multiply a monomial by a monomial, just multiply their coefficients and the powers of the same letter. For a letter that only appears in one monomial, it will be used as a factor of the product together with its exponent.
give it a try
(1)x2 · ( ) = x5y
(2) (2m2n) · ( ) = 8m2n2;
(3) (3a2b) ·( ) = a4b2c.
summary
Rule for dividing a monomial by a monomial
Division of powers with the same base is a special case of monomial division;
When calculating problems, pay attention to the order of operations and symbols.
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For more information about the PPT courseware "Division of Integers, Multiplication, Division and Factorization of Integers", please click the Division of Integers ppt Multiplication, Division and Factorization of Integers ppt tag.
"Division of Integers" Operations of Integers PPT Courseware 2:
"Division of Integers" Operations of Integers PPT Courseware 2 Review and Thinking 1. Division rules for powers with the same base aman = am-n (a0m, n are both positive integers, m>n) When powers with the same base are divided, the base remains unchanged and the exponents are the same. reduce. 2. Monomial multiplication rule Monomials and monomials...
"Division of Integers" PPT courseware on operations of integers:
"Division of Integers" PPT courseware on operations of integers. Review the rules for dividing powers with the same base: When dividing powers with the same base, the base remains unchanged and the exponents are subtracted. That is, aman=am-n (a0, m, n are all positive integers, and m>n) The moon is the closest celestial body to the earth, and it is...
"Division of Integers" Multiplication, division and factorization of integers PPT courseware 3:
"Division of Integers" Multiplication, Division and Factorization of Integers PPT Courseware 3 Review and Consolidation 1. Multiplication of powers with the same base: am an=am+n (m and n are both positive integers) That is: multiplication of powers with the same base, the base remains unchanged , the exponents are added. 2. Power of power: (am) n=amn (m, n are both...
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Update Time: 2024-09-23
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