The p q \frac{p}{q} q p form of 0. 35 ‾ 0.\overline{35} 0 . 3 5 is __________.

176 495 \frac{176}{495} 4 9 5 1 7 6

16 495 \frac{16}{495} 4 9 5 1 6

If 2 7 = . 285714 ‾ \frac{2}{7}=.\overline{285714} 7 2 = . 2 8 5 7 1 4 , then 6 7 = \frac{6}{7}= 7 6 = __________.

0. 857142 ‾ 0.\overline{857142} 0 . 8 5 7 1 4 2

0. 571428 ‾ 0.\overline{571428} 0 . 5 7 1 4 2 8

0. 142857 ‾ 0.\overline{142857} 0 . 1 4 2 8 5 7

0. 095235 ‾ 0.\overline{095235} 0 . 0 9 5 2 3 5

( 7 + 7 ) ( 7 − 7 ) = \left(7+\sqrt{7}\right)\left(7-\sqrt{7}\right)= ( 7 + 7 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> ) ( 7 − 7 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> ) = __________

2 7 2\sqrt{7} 2 7 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

7 7 7\sqrt{7} 7 7 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

3 2 − 5 \frac{3}{2-\sqrt{5}} 2 − 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 3 is rationalised by ____________.

2 + 5 2+\sqrt{5} 2 + 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

2 − 5 2-\sqrt{5} 2 − 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

− 2 + 5 -2+\sqrt{5} − 2 + 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

An equivalent expression of 5 7 + 4 5 \frac{5}{7+4\sqrt{5}} 7 + 4 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 5 after rationalizing the denominator is _________

20 5 − 35 31 \frac{20\sqrt{5}-35}{31} 3 1 2 0 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> − 3 5

20 5 − 35 129 \frac{20\sqrt{5}-35}{129} 1 2 9 2 0 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> − 3 5

35 − 20 5 31 \frac{35-20\sqrt{5}}{31} 3 1 3 5 − 2 0 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

35 − 20 5 129 \frac{35-20\sqrt{5}}{129} 1 2 9 3 5 − 2 0 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

9th Maths - Ch 1

Authored by Sunali Gandhi

Mathematics

9th Grade

Used 143+ times

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15 questions

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

_________________ is true statement.

Every whole number is a natural number.

Every integer is a rational Number.

Every rational number is an integer.

Every real number is an irrational number.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

A pair of equivalent rational numbers is __________.

$\frac{4}{7}$ and $\frac{104}{182}$

$\frac{5}{8}$ and $\frac{155}{64}$

$\frac{144}{169}$ and $\frac{169}{225}$

$\frac{8}{27}$ and $\frac{125}{216}$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

________ is rational number between 10 and 11.

$\frac{21}{4}$

$\frac{87}{8}$

$\frac{97}{8}$

$\frac{47}{4}$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The decimal expansion of $\frac{7}{4}$ is __________.

Terminating

Non-terminating recurring

Non-terminating Non-recurring

Infinite

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The $\frac{p}{q}$ form of $0.\overline{35}$ is __________.

$\frac{16}{45}$

$\frac{176}{495}$

$\frac{35}{99}$

$\frac{16}{495}$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

If $\frac{2}{7}=.\overline{285714}$ , then $\frac{6}{7}=$ __________.

$0.\overline{571428}$

$0.\overline{142857}$

$0.\overline{857142}$

$0.\overline{095235}$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$\left(\frac{\sqrt{3}}{2}\right).\left(\frac{\sqrt{3}}{2}\right)$ is ________________.

an irrational Number

a rational number

a whole Number

a natural Number

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$\sqrt{3}.\sqrt{6}$ is _____________.

an irrational number

a rational number

a whole Number

a natural number

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$8\sqrt{2}\div3\sqrt{2}$ is __________.

an irrational number

a rational number

a whole number

an integer number

10.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$\left(7+\sqrt{7}\right)\left(7-\sqrt{7}\right)=$ __________

$2\sqrt{7}$

$7\sqrt{7}$

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9th Maths - Ch 1

_________________ is true statement.

A pair of equivalent rational numbers is __________.

________ is rational number between 10 and 11.

The decimal expansion of 74\frac{7}{4}47​ is __________.

The pq\frac{p}{q}qp​ form of 0.35‾0.\overline{35}0.35 is __________.

If 27=.285714‾\frac{2}{7}=.\overline{285714}72​=.285714 , then 67=\frac{6}{7}=76​= __________.

(32).(32)\left(\frac{\sqrt{3}}{2}\right).\left(\frac{\sqrt{3}}{2}\right)(23​​).(23​​) is ________________.

3.6\sqrt{3}.\sqrt{6}3​.6​ is _____________.

82÷328\sqrt{2}\div3\sqrt{2}82​÷32​ is __________.

(7+7)(7−7)=\left(7+\sqrt{7}\right)\left(7-\sqrt{7}\right)=(7+7​)(7−7​)= __________

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The decimal expansion of $\frac{7}{4}$ is __________.

The $\frac{p}{q}$ form of $0.\overline{35}$ is __________.

If $\frac{2}{7}=.\overline{285714}$ , then $\frac{6}{7}=$ __________.

$\left(\frac{\sqrt{3}}{2}\right).\left(\frac{\sqrt{3}}{2}\right)$ is ________________.

$\sqrt{3}.\sqrt{6}$ is _____________.

$8\sqrt{2}\div3\sqrt{2}$ is __________.

$\left(7+\sqrt{7}\right)\left(7-\sqrt{7}\right)=$ __________