"Basic Properties of Proportion" Proportion PPT Courseware 3

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"Basic Properties of Proportion" Proportion PPT Courseware 3

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1. What is proportion?

An expression that expresses the equality of two ratios is called a proportion.

2. What are the differences and connections between ratio and proportion?

The four numbers that make up a proportion are called the terms of the proportion. The two terms at the two ends are called the external terms of the ratio, and the two terms in the middle are called the internal terms of the ratio.

The product of two external terms is 2.4×40=( ),

The product of two inner terms is 1.6×60= ( ),

That is 1.6×60 = 2.4×40

According to the basic properties of proportion, we can judge whether any four numbers can form a proportion.

Example judgment: Can these four numbers 2 4 5 10 form a proportion?

According to ·2X10=4X5, it can be judged that these four numbers 2 4 5 10 can form a proportion.

And can be written in 8 different proportions.

Determine whether 3 50 0.6 10 can form a proportion. (Can) 2.5 6 1 4.8 Can it form a ratio (Can't)

1. Fill in the blanks

(1) In a:7=9:b, ( ) is the inner term, ( ) is the outer term, a×b=( ).

(2) The two inner terms of a proportion are 3 and 8 respectively, then the product of the two outer terms is ( ), and the two outer terms may be ( ) and ( ).

(3) In a ratio, two external terms are reciprocals of each other, then the product of the two internal terms is ( ), if one external term is ( ) and the other external term is ( ).

2. Judgment.

(1) In a ratio, the product of two external terms minus the product of two internal terms is 0. ( )

(2) 18:30 and 3:5 can form a ratio. ( )

(3) If 4X=3Y, (neither X nor Y is 0), then 4:X=3:Y. ( )

(4) Because 3×10=5×6, so 3:5=10:6. ( )

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Update Time: 2024-07-06

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