"Properties of Inequalities" Inequality and Inequality Group PPT Courseware 2

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"Properties of Inequalities" Inequality and Inequality Group PPT Courseware 2

Property of inequality 1: The same number (or formula) is added (or subtracted) to both sides of the inequality, and the direction of the inequality sign remains unchanged;

Mathematical language: if a>b, then a±c>b±c

Property of Equality 1: If the same number or formula is added (or subtracted) to both sides of the equation at the same time, the result is still the same.

Mathematical language: If a=b, then a+c=b+c, ​​or a-c=b-c

Property 2 of equations: If both sides of the equation are multiplied (or divided) by the same number at the same time (the divisor cannot be 0), the results are still equal.

Mathematical language: If a=b, then a·c=b·c, or a÷c=b÷c(c≠0)

Property 2 of inequality: When both sides of the inequality are multiplied (or divided) by the same positive number, the direction of the inequality sign remains unchanged;

Mathematical language: if a>b, c>0 then a·c>b·c, or a÷c>b÷c

If a>b, fill in the blanks with ">" and "<"

(1) a-3 _____ b-3 (inequality property ___)

(2) 2+a _____ 2+b (inequality property____)

(3)-3a _____ -3b (inequality property____)

(4) 6a_____6b (inequality property____)

Decide whether it is right or wrong and explain why:

a+m>b+m, then a>b. ( )

If -6a<-6 b, then a

2a+1>2b+1, then a>b. ( )

From 5>4, we can get 5a>4a. ( )

a>b, we can get am2>bm2. ( )

From 2x>5x, we can get 2>5. ( )

Taking stock of gains and connecting the past with the next

Property 1: If the same number (or formula) is added (or subtracted) to both sides of the inequality, the direction of the inequality sign remains unchanged;

Property 2: If both sides of the inequality are multiplied (or divided) by the same positive number, the direction of the inequality sign remains unchanged;

Property 3: When both sides of the inequality are multiplied (or divided) by the same negative number, the direction of the inequality sign changes.

Keywords: Teaching courseware of inequalities and groups of inequalities, teaching courseware of the properties of inequalities, PPT courseware of the second volume of seventh-grade mathematics published by the New People's Education Press, download of the seventh-grade mathematics slide courseware, download of the PPT courseware of inequalities and groups of inequalities, download of the PPT courseware of the properties of inequalities ,.ppt format

For more information about the PPT courseware "Inequalities and Inequality Groups and Properties of Inequalities", please click on the Inequality and Inequality Groups ppt Properties of Inequalities ppt tag.

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Update Time: 2024-09-06

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