Rational Numbers and their location on a Number Line

🎬 Video Tutorial

(0:01) Definition of Rational Numbers: Rational numbers are numbers that can be written as a fraction of two integers (a/b) where b ≠ 0.
(0:17) Examples of Rational Numbers: Fractions like 2/3, integers like -2, terminating decimals like 0.7, and recurring decimals like 0.3 recurring (1/3) are all rational numbers.
(1:13) Irrational Numbers: Irrational numbers cannot be expressed as a fraction and have non-terminating, non-repeating decimals. For example, $\pi$ and $\sqrt{2}$ .
(2:21) Locating Rational Numbers on a Number Line: Start at 0, move the whole number part first, and then move the fractional part.

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📂 Revision Cards

Rational numbers explained with examples showing that fractions, integers, terminating decimals, and recurring decimals are rational numbers. — 1) Rational Numbers

Explaining that irrational numbers are non-terminating decimals without repeating patterns, with examples like ? and ?2. — 2) Irrational Numbers

Locating the rational number and fraction 11/3 on a number line by dividing it into 3 and 2/3, demonstrating on number line. — 3) Rational Numbers on a Number Line

Locating the rational number and decimal -2.7 on a number line, shown as -2 minus 0.7. — 4) Rational Numbers on a Number Line

🍪 Quiz

Rational Numbers and Their Location on a Number Line

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Q: Which of the following numbers is a rational number?

$0.25$

$\sqrt{2}$

$\pi$

2 / 6

Q: Which of the following is not a rational number?

$0.12524364...$

$1.2$

$-\frac{3}{4}$

3 / 6

Q: Locate $ \frac{7}{2}$ on a number line. Which of the following steps is correct?

Move 3 units to the right and divide the next unit into 3 equal parts. Stop at the 2nd part.

Move 3 units to the right and divide the next unit into 2 equal parts. Stop at the 2nd part.

Move 3 units to the right and divide the next unit into 3 equal parts. Stop at the 2nd part.

Move 3 units to the right and divide the next unit into 2 equal parts. Stop at the 1st part.

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Q: Locate $-1.6$ on a number line. Which of the following steps is correct?

Move 2 units to the left, then divide the distance between -2 and -3 into 10 equal parts, and stop at the 4th part.

Move 1 unit to the left, then divide the distance between -1 and -2 into 10 equal parts, and stop at the 6th part.

Move 2 units to the left, then divide the distance between -2 and -1 into 10 equal parts, and stop at the 6th part.

Move 1 unit to the left, then divide the distance between -1 and -2 into 10 equal parts, and stop at the 4th part.

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Q: Which of the following numbers is irrational?

$-\frac{8}{3}$

$0.45$

$2.1212\ldots$

$\sqrt{7}$

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Q: On a number line, where would $ \frac{-11}{4}$ be located?

Move 2 units to the left and divide the next unit into 4 parts. Stop at the 3rd part.

Move 3 units to the left and divide the next unit into 4 parts. Stop at the 3rd part.

Move 2 units to the left and stop halfway to the next unit.

Move 3 units to the left and stop halfway to the next unit.

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Numbers and Decimals