Rational Numbers and Their Location on a Number Line

Learn what rational and irrational numbers are and how to place rational numbers on a number line. Let’s get started! πŸš€

Rational Numbers and Their Location on a Number Line - introduction visual

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Rational numbers explained with examples showing that fractions, integers, terminating decimals, and recurring decimals are rational numbers.Explaining that irrational numbers are non-terminating decimals without repeating patterns, with examples like Ο€ and √2.Locating the rational number and fraction 11/3 on a number line by dividing it into 3 and 2/3, demonstrating on number line.Locating the rational number and decimal -2.7 on a number line, shown as -2 minus 0.7.

πŸ›ŽοΈ What are Rational Numbers?

  • Rational numbers can be written as a fraction of two integers.
  • They include fractions, terminating decimals, integers, and recurring decimals.

πŸ›ŽοΈ What are Irrational Numbers?

  • Irrational numbers are decimals that never end and do not repeat.
  • They cannot be written as a fraction.

πŸ›ŽοΈ How to Locate Fractions on a Number Line?

  • Rewrite the fraction as a mixed number, for example 11/3=3+2/311/3 = 3+2/3.
  • Go to 3 on the number line, split the gap from 3 to 4 into 3 equal parts, and move 2 parts to find 11/3.

πŸ›ŽοΈ How to Locate Decimals on a Number Line?

  • Rewrite the decimal to separate the whole and decimal parts, for example βˆ’2.7=βˆ’2βˆ’0.7βˆ’2.7 = βˆ’2 βˆ’ 0.7.
  • Go to βˆ’2, divide the gap from βˆ’2 to βˆ’3 into 10 equal parts, and move 7 parts to find βˆ’2.7.

Practice Questions

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Interactive Activity

Explore how rational numbers (decimals and fractions) are located on the line.

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