Rational Numbers and Their Location on a Number Line
Rational numbers can be written as fractions of two integers. Learn what makes them different from irrational numbers and how to place them on a number line. Let’s get started! 🚀
Video Lesson
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Flashcards
Review key concepts visually
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🛎️ What are Rational Numbers?
- Rational numbers can be written as a fraction of two integers.
- They include fractions, terminating decimals, integers, and recurring decimals.
🛎️ What are Irrational Numbers?
- Irrational numbers are decimals that never end and do not repeat.
- They cannot be written as a fraction.
🛎️ How to Locate Fractions on a Number Line?
- Rewrite the fraction as a mixed number, for example .
- 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.
🛎️ How to Locate Decimals on a Number Line?
- Rewrite the decimal to separate the whole and decimal parts, for example .
- Go to −2, divide the gap from −2 to −3 into 10 equal parts, and move 7 parts to find −2.7.
Practice Questions
Test your understanding
Which of the following numbers is a rational number?
Correct! 🎉 +10 pointsNot quite right
0.25 is a terminating decimal, so it can be expressed as a fraction , making it a rational number.
Which of the following is not a rational number?
Correct! 🎉 +10 pointsNot quite right
0.12524364... is an irrational number because its decimal expansion does not terminate or repeat.
Locate on a number line. Which of the following steps is correct?
Correct! 🎉 +20 pointsNot quite right
as a mixed fraction is . Move 3 units to the right, then divide the next unit into 2 equal parts, and stop at the 1st part.
Locate -1.6 on a number line. Which of the following steps is correct?
Correct! 🎉 +20 pointsNot quite right
-1.6 means moving 1 unit to the left, dividing the distance between -1 and -2 into 10 equal parts, and stopping at the 6th part.
Which of the following numbers is irrational?
Correct! 🎉 +20 pointsNot quite right
is irrational because its decimal expansion does not terminate or repeat.
On a number line, where would be located?
Correct! 🎉 +30 pointsNot quite right
as a mixed fraction is . Move 2 units to the left and divide the next unit into 4 parts. Stop at the 3rd part.
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Interactive Activity
Explore how rational numbers (decimals and fractions) are located on the line.
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