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Authoritative PPT Summary
"Merge similar items" PPT courseware
On the weekend, Xiaohui’s family was going out for fun. Dad, mom and Xiaohui each chose what they wanted to eat:
What did Xiaohui say when I bought it?
____burger____apple____bottle of drink
The sum of the volumes of the two small bridges
4a3+a2b+3a3+2a2b=7a3+3a2b
What is the relationship between the letters and exponents in each group of 4a3 and 3a3, a2b and 2a2b?
Similar items
Contains the same letters
The exponents of the same letter are also the same
discuss:
1. Are 0 and -2, 23 and 72 the same kind of terms?
2. Are 2x2y and 8yx2 the same kind of terms?
We stipulate that several constant terms are also similar terms.
Note: Similar items have nothing to do with the order in which the letters are arranged!
Quick answer:
1. Terms containing the same letters and the same exponent are called similar terms.
2. ab and 2ac are similar terms.
3.3ab and -ba are similar terms.
4.a2bc and ab2c are similar terms.
5.abm and abn are similar terms.
6.-8xy² and 1/2xy² are similar terms.
7.-0.5 and 9 are similar terms.
4a3 +3a3 =(4 + 3) a3 = 7a3
a2b +2a2b =(1 + 2) a2b = 3a2b
Merger of similar items:
The process of merging several similar terms in a polynomial into one term is called merging similar terms.
(1) In a polynomial, what are the characteristics of two items that can be combined into one item?
(2) When combining two items with the above characteristics into one item, what arithmetic law do we actually use?
Inversely apply the distributive law of multiplication to addition
Observe and think:
1. What is the relationship between the coefficients before and after the merger?
2. Have the letters and their exponents changed?
Rules for merging similar items:
The coefficients of similar terms are added and the result is used as the coefficient, with the letters and letter exponents remaining unchanged.
Steps to merge similar items:
1. Find similar items and mark them.
2. Apply the rules for merging similar items to merge similar items together.
Induced thoughts:
1. If 2x3a+by4 and 3x5y2b are similar terms, then a=( ), b=( ).
2.axy2z+6zxy2=-13xy2z then a= ( ).
Class summary:
1. Similar items
2. Merge similar items
3. Rule of merging similar items
4. Steps to merge similar items
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"Merge similar items" PPT courseware 4:
"Combining Similar Terms" PPT Courseware 4 Mathematics exists everywhere in life. Things with the same characteristics can be classified into one category. In polynomials, terms with the same characteristics can also be classified into one category and then combined. Question 1: Above What terms are there in the polynomial of ? 3x2,..
"Merge similar items" PPT courseware 3:
"Combining Similar Items" PPT Courseware 3 Display Activity 1: What are similar items? Display requirements: 1. Accurately explain the concept of similar items; 2. Give some examples of similar items, which must be representative. Let our judgment be more accurate 1. Two are the same: the letters are the same, the same letters refer to...
"Merge similar items" PPT courseware 2:
"Combining Similar Terms" PPT Courseware 2 Independent Exploration: 1. Observe the following monomials, classify the formulas that you think are of the same type, and state the basis for classification -7ab, 2x, 3, 4ab2, 6ab, 0.6ab2, -3x -4.5 Classification basis: Containing the same letters, similar...