"Algebraic Expressions" PPT Courseware 4

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"Algebraic Expressions" PPT Courseware 4

1. What are the advantages of using letters to represent numbers?

2. Fill in the blanks:

(1) Class A has a student, Class B has b more students than Class A, and Class B has ____ students.

(2) A and B are S kilometers apart. It takes t hours for a car to drive from A to B, and it travels ___ kilometers per hour.

(3) The output value last year was a million yuan, this year it increased by 280,000 yuan compared with last year, and the output value this year was ____ million yuan.

Algebraic formula:

① An algebraic expression consists of numbers, letters representing numbers and operation symbols;

② A single number or letter is also called an algebraic expression.

The formula does not contain "=", ">", "<", "≤", and "≥".

Standard writing of algebraic expressions

(1) The multiplication sign appearing in algebraic formulas is usually written as "·" or omitted. For example, 6×b is often written as 6·b or 6b;

(2) When numbers and letters are multiplied, the numbers are written in front of the letters. For example, 6b is generally not written as b6;

(3) Division operations are written in the form of fractions. For example, 1÷a is usually written as 1/a(a≠0)

(4) Mixed numbers are generally written as improper fractions.

For example: 1 1/5×a usually written as 6/5a

Do it

Please use algebraic expression:

1. The product of a and a number 2 greater than a.

2. The difference between the square of the sum of the two numbers a and b and their product.

3. The sum of the difference between a and b and the square of c.

column algebra

You can do this: analyze the meaning of the question, first find out the last operation step, determine the algebraic formula framework, and then gradually add the corresponding parts.

For example: the product of two numbers a and b is the sum of 2/3.

The product of the sum of the two numbers a and 8 and the difference between the two numbers b and c.

expressed algebraically

The hundreds digit is a, the tens digit is b, and the ones digit is the three-digit number of c

100a＋10b+c

Express three consecutive integers using a one-letter algebraic expression and write their sum

(m-1)+m+(m+1)

m+(m+1)+(m+2)

List out the algebraic expressions in a word-for-word manner

1 is the sum of x squared and 1/2 of x.

2 The difference between 1/2 of a and 3 times of b.

3 The product of the two numbers a and b and the sum of the two numbers.

4 is a number 18 greater than the sum of a and b.

Let me tell you:

1 Understand algebraic expressions and standard writing methods

2 Express the quantitative relationship reflected in the algebraic expression in written language.

3. Express the quantitative relationships expressed in written language using algebraic expressions.

4. Pay attention to writing algebraic expressions correctly.

(1) Generally clarify the order of operations, focus on finding the last operation, and then gradually list the algebraic expressions

(2) When expressing application problems using algebraic expressions, you should also clarify the quantitative relationships in the problems.

In algebraic expressions, quantities with the same meaning should be represented by the same letter, and quantities with different meanings should be represented by different letters.

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Update Time: 2024-10-02

This template belongs to Mathematics courseware Hebei Education Edition Seventh Grade Mathematics Volume 1 industry PPT template

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