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"Into the Zoo" PPT courseware 3
Solve the following equations
X+28=36 3x-2.4=3.6 2x=4.6
x÷10=12.5 2x=9=33 5x-4=11
Comparison of two methods of solving equations
Solve equations based on their properties
3x-2.4=3.6
Solution: 3x-2.4+2.4=3.6+2.4
3x=6
3x÷3=6÷3
x=2
Solve equations based on the relationship between the parts of the four arithmetic operations
3x-2.4=3.6
Solution: 3x=3.6+2.4
3x=6
x=6÷3
x=2
Properties of equations
If you add or subtract the same number to both sides of an equation, the equation still holds.
If both sides of an equation are multiplied or divided by the same number (the divisor is not zero), the equation still holds.
The relationship between the various parts of the four arithmetic operations
addend + addend = sum
One addend = sum - another addend
Minuend - Minuend = Difference
Minuend = Minuend + Difference
Minuend = Minuend - Difference
Factor × factor = product
A factor = product ÷ factor
dividend ÷ divisor = quotient
Dividend = divisor × quotient
Divisor = dividend ÷ quotient
Solve problems (using arithmetic and equations respectively)
The bookstore’s customer flow reached 8,740 on weekends this week, 760 more than last week’s weekend, and 80 more than double the number of customers from Monday to Friday this week.
(1) What was the passenger flow on weekends last week?
(2) What is the passenger traffic from Monday to Friday this week?
Summary: What are the steps required to solve problems using equations?
1. Understand the meaning of the question and find the unknown number represented by x.
2. List the equations based on the equivalence relationships in the question.
3. Solve the equation.
4. Inspection.
5. Write the answer.
What are the steps in arithmetic problem solving?
1. Understand the meaning of the question and clarify the relationship between the known conditions and the problem.
2. List the calculation formulas.
3. Calculate the result.
4. Inspection.
5. Write the answer.
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