State whether the following statements are true or false? Justify your answer. 15 3 is written in the form p q , q 0 and so it is a rational number.

False. Solution: 15 3 = 5 3 3 = 5 3 3 =5, which is an irrational number.

State whether the following statements are true or false? Justify…

Express $0. \overline { 001 }$ in the form $\frac { p } { q }$, where p and q are integers and $q \neq 0 $

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If a point 'C' lies between two points A and B such that AC = BC, then prove that AC = $\frac{1}{2}$AB. Explain by drawing the figure.

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Write the coefficient of ${x^2}$ in $\frac{\pi }{2}{x^2} + x$

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Is zero a rational number? Justify.

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Factorise: $6x^2 + 7x - 3$

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Write the class-size in the following:
100-120, 120-140, 160-180

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Classify the following numbers as rational or irrational with justification:
$-\sqrt{0.4}$

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Find the volume of a sphere of radius $11.2 \ cm.$

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Represent the following rational numbers on the number line:
$-\frac{23}{6}$

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Simplify $: \frac{11^{1 / 2}}{11^{1 / 4}}$

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