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Ch 7'1 Ratio and Proportion

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... b can be written three ways: as a fraction a/b (or an ... written in simplest form. ... Words: In a proportion, the product of the extremes is equal to the ... – PowerPoint PPT presentation

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Title: Ch 7'1 Ratio and Proportion


1
Ch 7.1 Ratio and Proportion
  • Use ratios and proportions

2
  • A ratio is a comparison of a number a and a
    nonzero number b using division.
  • The ratio of a to b can be written three ways as
    a fraction a/b (or an equivalent decimal), as
    ab, or as a to b.
  • A ratio is usually written in simplest form.
  • Before you simplify a ratio, make sure that the
    units of the numerator and the denominator are
    the same.

3
Use Ratios
  • In the diagram, ABBC is 41 and AC 30.
  • Find AB and BC.

???
4
Use Ratios
  • The perimeter of a rectangle is 80 feet. The
    ratio of the length to the width is 73.
  • Find the length and the width of the rectangle.

???
5
Solving Proportions
  • An equation that states that two ratios are equal
    is called a proportion.
  • The numbers b and c are the means of the
    proportion.
  • The numbers a and d are the extremes of the
    proportion.

???
6
  • Cross Product Property
  • Words In a proportion, the product of the
    extremes is equal to the product of the means.
  • Symbols If , then .

???
7
Solve a Proportion
  • Solve the proportion

???
8
Classwork
  • Geometry book
  • Page 361
  • 1-12
  • Neighbor help is ok
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