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Rational Numbers Through Ratios

Explore the concept of rational numbers as ratios of integers. Identify, compare, and plot rational numbers on number lines and coordinate planes. Learn to find opposites of rational numbers and represent them in the form a/b.

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Rational Numbers Through Ratios

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  1. 1/2 3/4 0.54 8% Rational NumbersA PowerPoint for 6th grade. -9 MCC6.NS.6.c: Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.

  2. Rational Numbers Rational means “written as a ratio.” A ratio is the comparison of two quantities using division. Definition: Any positive or negative number that can be written as a ratio of two integers, where the denominator is not equal to zero.

  3. These numbers are all examples of rational numbers: 5/8 0.46 -9 3.33 25 10%

  4. Rational numbers have opposites, too! For example: 2/3 and -2/3 are opposites. -5.10 and 5.10 are also opposites.

  5. Find the opposites for the rational numbers on this number line:

  6. Explain why -2/3, 6 and 0.4 are rational numbers. • Ask, can I write these numbers in the form a/b? • The number 2/3 is written in the form a/b. • The number 6 can be written as 6/1 which is in the form a/b. • The number 0.4 can be written as 4/10 which is in the form a/b. The numbers 2/3, 6 and 0.4 are rational numbers because each can be written in the form a/b.

  7. Is this a rational number?

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