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"Multiplication of Rational Numbers" Rational Numbers and Their Operations PPT Courseware 3
1. Answer the following questions
1. The rules for addition of rational numbers are divided into several situations, and how are they defined in each case?
2. What are the laws of subtraction?
3. The multiplication rule of rational numbers is divided into several situations and how are they defined?
4. What arithmetic laws did you learn in primary school?
2. Calculate the following questions
1. 5×(-6) 2. (-6)×5
3.[3×(-4)]×(-5)
4. 3× [(-4)×(-5)] 5. 5×[3+(-7)]
6. 5×3+5×(-7)
learning target:
1. Master the operational laws of multiplication of rational numbers;
2. Be able to apply the laws of arithmetic to make operations simple;
3. Be able to skillfully perform mixed operations of addition, subtraction and multiplication;
Learning points:
The laws of multiplication
Learning difficulties:
Flexibly use the arithmetic laws of multiplication to simplify operations and perform mixed operations of addition, subtraction, and multiplication.
To multiply three numbers, first multiply the first two numbers, or multiply the last two numbers first, and the product remains unchanged.
Multiplicative associative law: (ab)c=a(bc)
According to the commutative law of multiplication and the associative law, it can be deduced that when three or more rational numbers are multiplied, the positions of the factors can be exchanged arbitrarily, or several of the numbers can be multiplied first.
Precautions
1. The commutative law and associative law of multiplication only involve one operation, while the distributive law involves two operations.
2. The distributive law can also be written as: ab+ac=a(b+c), which can sometimes be used to simplify calculations.
3. The letters a, b, and c can represent positive numbers, negative numbers, or zero. That is, a, b, and c can represent any rational number.
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"Multiplication of Rational Numbers" Rational Numbers and Their Operations PPT Courseware (Lesson 2):
"Multiplication of Rational Numbers" Rational Numbers and Their Operations PPT Courseware (Lesson 2) Part One: Learning Objectives 1. Master the distributive law of multiplication and be able to use it flexibly. (Difficulty) 2. Master the law of operation of multiplication of rational numbers, and use Arithmetic laws simplify multiplication operations. (Emphasis...
"Multiplication of Rational Numbers" Rational Numbers and Their Operations PPT Courseware (Lesson 1):
"Multiplication of Rational Numbers" Rational Numbers and Their Operations PPT Courseware (Lesson 1) Part One: Learning Objectives 1. Master the multiplication rules of rational numbers and be able to perform operations skillfully. (Key Points) 2. Master the product of multiple rational numbers The Law of Symbols. (Difficulty) ... .....
"Multiplication of Rational Numbers" Rational Numbers and Their Operations PPT (Lesson 2):
"Multiplication of Rational Numbers" Rational Numbers and Their Operations PPT (Lesson 2) Part One Content: Knowledge Points Basic Knowledge Points 1 Multiplication Law of Rational Numbers 1. Observe the calculation formula (-4)1/7(-25)28 in the problem-solving process The arithmetic law that makes calculations easier is (C) A..