Irrational numbers between the given rational numbers | Number Systems | Assessment | English | Grade 9

Which of the following is an irrational number between 3 and 4?

• 4.023456....

• 3.547830....

• 1.456892....

• 2.987654....

Answer explanation

We have to find the Irrational number between 3 and 4, It should be greater than 3 and less than 4. 3 < Irrational number <4. 3 < 3.547830....<4

Tags

CCSS.8.NS.A.1

How many irrational numbers can you find between 3.2 and 4.2?

• 3

• 2

• 4

• ∞

Answer explanation

There are infinitely many Irrational numbers between any two rational numbers.

Tags

CCSS.8.NS.A.1

Which of the following is an irrational number between √5 and √7?

• 2.5678...

• 4.0123...

• 1.9876..

• 0.9876...

Answer explanation

Value of √5 = 2.2360... and √7 = 2.6457... Irrational number between 2.2360....< 2.5678....< 2.6457....

Tags

CCSS.8.NS.A.2

Which of the following shows any two irrational numbers between 0.12 and 0.15?

• 0.0145.. 0.0987...

• 0.4567... 0.3452...

• 1.2345... 1.0234...

• 0.1345.... 0.1421...

Answer explanation

The Irrational number should be greater than 0.12 and less than 0.15. 0.12 < Irrational Number < 0.15 0.12 < 0.1345...<0.15 0.12 < 0.1421... <0.15

Tags

CCSS.8.NS.A.1

Which of the following shows any three irrational numbers between 8/5 and 7/4?

• 1.3345... 1.4234... 1.2354...

• 0.2345... 0.1237... 0.3452...

• 1.6023... 1.6789... 1.7234...

• 2.4013... 3.0789... 2.9234...

Answer explanation

First we have to find the value of 8/5 and 7/4 8/5 = 1.6 7/4 = 1.75 Irrational Number between 1.6 < 1.6023...<1.75 1.6 < 1.6789... <1.75 1.6 < 1.7234... <1.75

Tags

CCSS.8.NS.A.1

Which of the following shows any four irrational numbers between 2/7 and 3/8?

• 0.2978... 0.3245... 0.3125... 0.3657...

• 0.1345... 0.1456... 0.1567... 0.1789...

• 0.0987... 0.0765... 0.1235... 0.1345...

• 1.5466... 1.6572... 1.3456... 1.7689...

Answer explanation

First we have to find the value of 2/7 and 3/8 2/7 = 0.2857... 3/8 = 0.375 Irrational Number between 0.2857...< 0.2978...< 0.375 0.2857...< 0.3245...< 0.375 0.2857...< 0.3125...< 0.375 0.2857...< 0.3657...< 0.375

Tags

CCSS.8.NS.A.1