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"Simple Operations of Decimal Multiplication" Decimal Multiplication and Division PPT Courseware
1. Calculate orally (write down the result directly).
(1)0.5×0.2= (2)76×8+76×2=
(3)500×0.02= (4)2.4×4 =
(5)2.5×0.004= (6)0.125×8=
(7) 12.5×8= (8)25 ×6 × 4=
2. Fill in the appropriate numbers in the brackets.
(1) 0.32 = 4 × ( )
(2) 1.02 = 1 + ( )
(3) 0.99 = 1 - ( )
(4) 9.8 = ( ) - ( )
What are the laws of operation for integer multiplication?
Thinking: How to express it with letter formula?
Commutative law of multiplication: ab = ba
Multiplicative associativity: (ab) c = a (bc)
Distributive law of multiplication: (a+b) c = ac + bc
Are the results on both sides of each set of equations below equal?
0.7×1.2 ○ 1.2×0.7
(0.8 × 0.5) × 0.4 ○ 0.8 × (0.5 × 0.4)
(2.4+3.6) ×0.5 ○ 2.4 ×0.5 + 3.6 × 0.5
Summary: What conclusions did I draw from the above study? What is the solution to the problem?
The commutative, associative and distributive laws of integer multiplication also apply to decimal multiplication.
Question: From what can be seen here, what numbers can be represented by the letters in the multiplication law?
Problem solving method:
1. Review the question: See clearly what characteristics the question has and whether it can be calculated using a simple method;
2. Transformation: reasonably divide a factor into the product, sum or difference of two numbers;
3. Operation: Correctly apply the operation laws of multiplication to perform simple operations;
4. Check: Whether the problem-solving method and results are correct.
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