"Multiplication of Monomials" PPT Courseware 2

Description

"Multiplication of Monomials" PPT Courseware 2

An algebraic expression composed of numbers and letters or letters and letters multiplied is called a monomial.

Practice before class

1. (oral answer) calculation:

(1) a5 •a5= a10

(2)(a5)5= a25

(3) a5 +a5= 2a5

(4)(ab)5= a5b5

(5)(-2a2b)3= -8a6b3

Q&A

(1) If Xiao Ming’s step length is represented by a meter, can you express the area of ​​the square using an algebraic expression containing a?

(1100a) (625a)

(2) Assuming that Xiao Ming’s step length is 0.8 meters, what is the approximate area of ​​the square in square meters?

When a=0.8

(1100a) . (625a)

=(1100×0.8)×(625×0.8)

=440000m2

(3) In order to simplify the calculation, we can simplify it first and then substitute it into the evaluation.

Can you describe the rules for multiplying monomials by monomials?

Rule: When multiplying a monomial by a monomial, multiply their coefficients and powers with the same base, leaving the remaining letters and their exponents unchanged as factors of the product.

True or false:

Multiplication of powers with the same base, the base remains unchanged, and the exponents are added

(1) 4a2 •2a4 = 8a8 ( )

(2) 6a3 •5a2=11a5 ( )

(3)(-7a)•(-3a3) =-21a4 ( )

(4)3a2b •4a3=12a5 ( )

Points to note when multiplying monomials

When calculating the product of coefficients, pay attention to the sign;

Multiplication of factors with the same letters is multiplication of powers with the same base. The base remains unchanged and the exponents are added;

Letters contained only in a monomial must be written in the product together with its exponent to prevent omission;

The result of multiplying a monomial by a monomial is still a monomial, and the coefficient must be written in front of the letter factor;

The same rules for multiplication of monomials apply to the multiplication of three or more monomials.

Class summary

knowledge gain

Rules for multiplying monomials by monomials

Rules for multiplying monomials and polynomials

Thought method harvest

overall thought

Transform thoughts

Application harvest

Mathematics is everywhere in life

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For more information about the "Multiplication of Monomials" PPT courseware, please click the Multiplication of Monomials ppt tab.

"Multiplication of Monomials" PPT courseware 3:

"Multiplication of Monomials" PPT courseware 3 Review of old knowledge 1. am an=am+n (m, n are positive integers) Multiply the powers with the same base, the base remains unchanged, and the exponents are added. 2. (am) n=amn (m, n) is a positive integer) raised to the power, the base remains unchanged, and the exponents are multiplied. 3. (ab)..

"Multiplication of Monomials" PPT courseware:

"Multiplication of Monomials" PPT courseware Think about it 1. How to multiply monomials? Coefficients of a monomial? Powers of the same letter? Letters contained only in a monomial? (Coefficient) (Multiplication of powers with the same letter) Individual powers Multiply monomials, ..

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Update Time: 2024-07-04

This template belongs to Mathematics courseware Qingdao Edition Seventh Grade Mathematics Volume 2 industry PPT template

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