"Basic Properties of Inequalities" PPT

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"Basic Properties of Inequalities" PPT

Part One: Think About It

What properties does the equation have?

Do inequalities have these similar properties?

Basic property of equation 1:

If you add (or subtract) the same integer to both sides of the equation, the equation still holds

If a=b, then a±c=b±c

Basic property 2 of equation:

If both sides of the equation are multiplied (or divided) by the same number that is not 0, the equation still holds

If a=b, then ac=bc or a/c=b/c (c≠0),

Basic properties of inequalities PPT, Part 2 content: Basic properties of inequalities

Basic property of inequality 1: If the same number or the same integer is added (or subtracted) to both sides of the inequality, the direction of the inequality sign remains unchanged.

That is: if ____, then _______.

Basic property of inequality 2: Both sides of the inequality are multiplied (or divided) by the same ____, and the direction of the inequality sign is ____.

if then______________

Basic property of inequality 3: Both sides of the inequality are multiplied (or divided) by the same ____, and the direction of the inequality sign is ____.

if then______________

Basic properties of inequalities PPT, the third part: analysis of examples

Example 1: Suppose a>b, fill in the blanks with “＜” or “＞” and answer orally which basic property of the inequality is based on.

(1)a-3____b-3;

(2)a÷3____b÷3

(3)0.1a____0.1b;

(4) -4a____-4b

(5) 2a+3____2b+3;

(6) (m2+1) a ____ (m2+1)b (m is a constant)

Basic properties of inequalities PPT, Part 4: Targeted exercises

1. If m>n, determine whether the following inequality is correct:

(1) m-7

(2) 3m<3n ( )

(3)-5m>-5n ( )

(4) m/9>n/9 ( )

(5) m+5≥n+5 ( )

According to the basic properties of inequalities, transform the inequality into the form x >a or x

(1)x -1>2

(2)2x

(3)-5x >20

(4)1/3x≤4

Basic properties of inequalities PPT, Part 5 content: Summary of this lesson:

Basic properties of inequalities 1:

If a > b, then a±c > b±c. That is to say, the same number (or formula) is added (or subtracted) to both sides of the inequality, and the direction of the inequality sign remains unchanged.

Basic properties of inequalities 2:

If a > b, c > 0, then ac > bc (or a/c > b/c) means that both sides of the inequality are multiplied (or divided) by the same positive number, and the direction of the inequality sign remains unchanged.

Basic property of inequalities 3:

If a>b, c<0, then acb/c) means that both sides of the inequality are multiplied (or divided) by the same negative number, and the direction of the inequality sign changes.

Keywords: Free download of Hebei Education Edition mathematics PPT courseware for seventh grade volume 2, basic properties of inequalities PPT download, .PPT format;

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"Basic Properties of Inequalities" PPT download:

"Basic Properties of Inequalities" PPT Download Part One: Learning Objectives: Know the basic properties of inequalities and be able to use the basic properties of inequalities to transform inequalities. [Learning Focus] The derivation process of the basic properties of inequalities. [Difficulties in Learning] Utilization does not vary..

"Basic Properties of Inequalities" PPT courseware 3:

"Basic Properties of Inequalities" PPT Courseware 3 Knowledge Review (1) If the same integer is added (or subtracted) to both sides of the equation, the result is still an equation. If a=b, then a+c=b+c (or a-c=b-c) (2) Both sides of the equation are multiplied by (or divided by) the same integer (divided by..

"Basic Properties of Inequalities" PPT Courseware 2:

"Basic Properties of Inequalities" PPT Courseware 2 Question 1: The temperature of lightning is about 28,000°C, which is 4.5 times higher than the surface temperature of the sun. Assuming that the surface temperature of the sun is t°C, what relationship should t satisfy? 4.5t28000 Question 2: Use appropriate symbol tables..

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Update Time: 2024-09-07

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