Verify the following comparisons using a number line.
i. $2<3$ but $-2>-3$ ii. $\frac{5}{4}<\frac{7}{4}$ but $\frac{-5}{4}<\frac{-7}{4}$
View full solution →i. $2<3$ but $-2>-3$ ii. $\frac{5}{4}<\frac{7}{4}$ but $\frac{-5}{4}<\frac{-7}{4}$
Question types
Rational and Irrational Numbers question types
24 questions across 3 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
24
Questions
3
Question groups
5
Question types
Sample Questions
Rational and Irrational Numbers questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
$-\frac{7}{11},-\frac{3}{4}$
View full solution →$\frac{12}{15}, \frac{3}{5}$
View full solution →$-\frac{25}{8},-\frac{9}{4}$
View full solution →$\frac{15}{12}, \frac{7}{16}$
View full solution →Write the following rational numbers in decimal form. : $-\frac{11}{13}$
View full solution →Write the following rational numbers in decimal form. : $-\frac{103}{5}$
View full solution →Write the following rational numbers in decimal form. : $\frac{9}{14}$
View full solution →Write the following rational numbers in decimal form. : $\frac{18}{42}$
View full solution →Write the following rational numbers in decimal form. : $\frac{9}{37}$
View full solution →Show the number √7 on the number line.
Show the number √5 on the number line.
The number √2 is shown on a number line. Steps are given to show √3 on the number line using √2. Fill in the boxes properly and complete the activity.
The point Q on the number line shows the number ……….
A line perpendicular to the number line is drawn through the point Q. Point R is at unit distance from Q on the line.
Right angled ∆OQR is obtained by drawing seg OR.
l(OQ) = √2, l(QR) = 1
∴By Pythagoras theorem,
[l(OR)]² = [l(OQ)]² + [l(QR)]²
Draw an arc with centre O and radius OR. Mark the point of intersection of the line and the arc as C. The point C shows the number √3
The point Q on the number line shows the number ……….
A line perpendicular to the number line is drawn through the point Q. Point R is at unit distance from Q on the line.
Right angled ∆OQR is obtained by drawing seg OR.
l(OQ) = √2, l(QR) = 1
∴By Pythagoras theorem,
[l(OR)]² = [l(OQ)]² + [l(QR)]²
Draw an arc with centre O and radius OR. Mark the point of intersection of the line and the arc as C. The point C shows the number √3
Generate a Rational and Irrational Numbers paper free
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