Mastering Ratios

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Questions and Answers

Which of the following best defines a ratio?

  • The sum of two or more quantities
  • The product of two or more quantities
  • A comparison of two or more quantities (correct)
  • The difference between two or more quantities

What is the purpose of a ratio?

  • To compare quantities (correct)
  • To find the sum of quantities
  • To find the difference between quantities
  • To multiply quantities

Which of the following is NOT a way to express a ratio?

  • Decimal
  • Fraction
  • Exponent (correct)
  • Percentage

Which of the following best describes a ratio?

<p>A relationship between two numbers of the same kind (C)</p> Signup and view all the answers

In a ratio, what does '8:6' represent?

<p>The ratio of oranges to lemons (C)</p> Signup and view all the answers

How can a ratio be expressed?

<p>As 'a to b' or 'a:b' (D)</p> Signup and view all the answers

What is a proportion?

<p>A statement expressing the equality of two ratios (B)</p> Signup and view all the answers

What type of numbers are usually used in a ratio?

<p>Positive numbers (C)</p> Signup and view all the answers

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Study Notes

Ratio Definition

  • A ratio compares two quantities.

  • It shows the relative sizes of the quantities.

Ratio Purpose

  • Ratios help express relationships between quantities.
  • They allow comparisons and understanding of how quantities relate to each other.

Ratio Representation

  • Ratios can be written in different ways, including a colon (8:6), a fraction (8/6), and using the word "to" (8 to 6).
  • They can also be expressed as a percentage, but they are typically written in the format described above.

What a Ratio Represents

  • The ratio "8:6" represents that for every 8 units of the first quantity, there are 6 units of the second quantity.
  • The specific units can be specified, for example, 8 apples to 6 oranges.

Proportion Definition

  • A proportion is an equation that states that two ratios are equal.
  • It demonstrates a proportional relationship between the quantities represented by the ratios.

Numbers Used in Ratios

  • Ratios often use whole numbers but can also use decimals or fractions.
  • They can be expressed as simplified fractions.
  • When using mixed numbers in a ratio, they have to be converted into improper fractions.

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