"Multiplication of Rational Numbers" Rational Numbers PPT Courseware

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"Multiplication of Rational Numbers" Rational Numbers PPT Courseware

Generally speaking, multiplying a number by the sum of two numbers is equivalent to multiplying the number by the two numbers and then adding the products.

Distributive law: a(b+c)=ab+ac

Comparing the above two solutions, what are the differences in the order of operations? What arithmetic law is used in solution 2? Which solution requires less calculation?

Solution 1: Do the addition operation first and then the multiplication operation.

Solution 2: Do the multiplication first and then the addition.

Solution 2 uses the distributive law.

Solution 2 has a small amount of calculations, because Solution 1 first requires the sum of three fractions to be calculated.

Let’s explore how to simplify the following question:

(-23)×25-6×25+18×25+25

=(-23-6+18+1)×25

=(-10)×25＝-250

Comparing the above formulas, can you find the pattern of sign changes when removing brackets?

It can be found that the factors outside the brackets are positive numbers, and the signs of each term in the equation after removing the brackets are the same as the signs of the corresponding terms in the equation inside the brackets.

The factors outside the parentheses are negative numbers. The signs of the terms in the equation after removing the parentheses are opposite to the signs of the corresponding terms in the equation within the parentheses.

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"Multiplication of Rational Numbers" Rational Numbers PPT Courseware 3:

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"Multiplication of Rational Numbers" Rational Numbers PPT Courseware 2:

"Multiplication of Rational Numbers" Rational Number PPT Courseware 2 We are already familiar with the multiplication operation of positive numbers and 0. How to perform the multiplication operation of rational numbers after introducing negative numbers? (1) If the snail has been crawling to the right at a speed of 2CM per minute, after 3 minutes it will be at What position? (２..

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Update Time: 2024-11-22

This template belongs to Mathematics courseware People's Education Press Seventh Grade Mathematics Volume 1 industry PPT template

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