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Authoritative PPT Summary
"Using Letters to Represent Numbers" PPT Courseware 4
learning target:
1. Understand the advantages and necessity of using letters to express numbers, and learn to use letters to express numbers;
2. Be able to correctly understand quantitative relationships in simple practical problems, and be able to use expressions containing letters to express quantitative relationships;
3. Be able to independently explore some interesting or regular problems and develop the divergence of mathematical thinking activities;
Self-study navigation
Students, please read the content on pages 108---109 of the textbook carefully, observe carefully, use your brain fully, and compare to see who can complete it faster and better!
1. Read the three short questions in Communication and Discovery, and try to write the answers below the corresponding questions with a pencil.
(1)_______ ,n,_______ .
(2)______________.
(3)______________
2. As can be seen from the above examples, what are the advantages of using letters to represent numbers?
3. Carefully observe the results in Example 1. How should the formula containing letters be written in a standardized way?
(1) (2) (3) (4)
Explore new knowledge
(1) The unit price of an exercise book is 5 yuan, and the total price of 100 exercise books is _______ yuan.
"To multiply numbers and letters, you can omit the multiplication sign and write the numbers in front of the letters."
(2) The unit price of the exercise book is a yuan, and the total price of the exercise book b is _______ yuan.
When multiplying letters by letters, the multiplication sign can be omitted or expressed with "·".
(3) The unit price of exercise books is 0.5 yuan, and the unit price of ballpoint pens is 3.2 yuan. The total price of buying exercise book a and pen b is _______ yuan.
Addition or subtraction expressions with units at the end should be enclosed in parentheses.
(4) Xiao Ming’s home is s kilometers away from the school. Xiao Ming rides a bicycle to school. If he travels 10 kilometers per hour, it will take _____ hours.
The division operation is written in fraction form, that is, the division sign is replaced by a fraction line.
Letter format for writing numbers
When multiplying numbers and letters, when the multiplication sign is omitted, the numbers should be written in front of the letters. For example, n×2 should be written as 2n, not n2;
When multiplying letters by letters, the multiplication sign can be omitted, or "·" can be used. When multiplying numbers, you must use the multiplication sign "×"
Expressions for addition or subtraction followed by units should be enclosed in parentheses.
Division operations should be written in fraction form, with the division sign replaced by a fraction line.
When multiplying mixed numbers by letters, the mixed numbers should be written in the form of improper fractions
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