Rational & Irrational

• 1 and 2

• 2 and 3

• 3 and 4

• 4 and 5

Tags

CCSS.8.NS.A.2

• 4 and 5

• 5 and 6

• 6 and 7

• 7 and 8

Tags

CCSS.8.NS.A.2

Between what two integers is the irrational number located?

• -9 and -11

• -81 and -100

• -9 and -10

• 9 and 10

Tags

CCSS.8.NS.A.2

• <

• >

• =

• ?

Tags

CCSS.8.NS.A.2

• √50

• Both are equal

• Cannot be determined

Tags

CCSS.8.NS.A.2

Tags

CCSS.8.NS.A.1

Point B could represent which of the following numbers?

• √24

• √30

• √35

• √42

Answer explanation

B is between whole numbers 5 and 6.
$5<B<6$

B is also much closer to 6 than it is to 5. That means the square of B will also be between the squares of 5 and 6, but closer to the square of 6.
$5^2<B^2<6^2$

$25<B^2<36$

This means $B^2$ is between 25 and 36, but closer to 36.
$\left(B=\sqrt{B^2}\right)$

35 is the closest value to 36 provided without surpassing it.
$B\approx\sqrt{35}$

Tags

CCSS.8.NS.A.2

-17.5

• Rational
• Irrational

Tags

CCSS.7.NS.A.1D

√7

• Rational 
• Irrational

Tags

CCSS.8.NS.A.1

√25

• Rational
• Irrational

Tags

CCSS.8.NS.A.1