"The Mystery of the Human Body" PPT courseware

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"The Mystery of the Human Body" PPT courseware

memory treasure trove

16÷25=(16×4)÷(25 × )=64÷100=0.64

30÷10＝(30÷10)÷(10÷ )＝3÷1＝3

Invariant properties of quotient:

In division, the dividend and divisor are multiplied (or divided) by the same number (except 0) at the same time, and the quotient remains unchanged.

Can you reduce the following fractions to their simplest fractions? :

Basic properties of fractions:

If the numerator and denominator of a fraction are multiplied or divided by the same number (except 0) at the same time, the size of the fraction remains unchanged.

Use the relationship between ratio and division to study the rules in ratios.

6÷8=(6×2)÷(8×2)=12÷16

6�8=（6×2）�（8×2）=12�16

6�8=（6÷2）�（8÷2）= 3�4

6÷8=（6÷2）÷（8÷2）= 3÷4

If the first and last terms of a ratio are multiplied or divided by the same number (except 0) at the same time, the ratio remains unchanged. This is called the fundamental property of ratio.

Using the invariant property of quotients, we can perform simple calculations of division.

According to the basic properties of fractions, we can reduce fractions into simplest fractions.

Applying the basic properties of ratio, we can convert the ratio into the simplest integer ratio.

discuss:

How do you understand the concept of "the simplest ratio of integers"?

in conclusion:

The simplest ratio of integers must be a ratio whose antecedent and consequent must be integers, and their only common factor is 1.

Group cooperation and communication:

1. What kind of ratio is 14:21? How to make the first and last terms of this ratio have only a common factor of 1?

2. In 1/6:2/9, what number can be multiplied by the first and last terms of the ratio at the same time to form the simplest integer ratio? Why multiply this number?

3. Tell me how to convert 0.75:2 into the simplest integer ratio?

Method of inductive simplification:

(1) Integer ratio - the first and last terms of the ratio are divided by their greatest common divisor → the simplest ratio.

(2) Decimal ratio - the first and last terms of the ratio are expanded by the same multiple → integer ratio → the simplest ratio.

(3) Fractional ratio - the first and last terms of the ratio are multiplied by the least common multiple of their denominators → the ratio of integers → the simplest ratio.

See whose eyes are the brightest

(1) 4: 15＝ (4×3): (15÷3)＝12: 5 ( )

(2) 10 : 15＝(10÷5):(15÷3)=2 : 3 ( )

(3) 1/3 : 1/2 = (1/3×6): (1/2×6) = 2 : 3 ( )

(4) 0.6 :0.13 = (0.6×100) : (0.13×100) = 60 : 13 ( )

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Update Time: 2024-06-27

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