Estimate and Compare the Value of Irrational Numbers by Plotting Them on a Number Line

• A

• D

• S

• F

Estimate each card to the nearest tenth. Drag the irrational number to the best location on the numberline. Not all cards will be used!!!!

f

g

h

i

e

d

c

b

Estimate each card to the nearest tenth. Drag the irrational number to the best location on the numberline. Not all cards will be used!!!!

i

h

g

f

e

d

c

WHICH NUMBER LINE CORRECTLY REPRESENTS THE IRRATIONAL NUMBERS LISTED BELOW?

• 
• 
• 
• 

Which point most closely corresponds to the √8 on the number line below? (Click the question to see the picture)

• P

• Q

• R

• S

Answer explanation

8 is between perfect squares 4 and 9.
$4<8<9$
This means the square root of 8 is between the square roots of those numbers.
$\sqrt{4}<\sqrt{8}<\sqrt{9}$
$2<\sqrt{8}<3$
Since 8 is closer to perfect square 9 than it is to perfect square 4, the square root of 8 will also be closer to the square root of 9 (Q in the number line above).

Which point on the number line best represents the location of √92?

• Point M

• Point N

• Point P

• Point Q

Which best represents the position of $\sqrt{8}$ on the number line below?

• Point P

• Point Q

• Point R

• Point S

Tags

locate on number line

Point B could represent which of the following numbers?

• √24

• √30

• √35

• √42

Point B could represent which of the following numbers?

• √24

• √30

• √35

• √42

What letter represents the best placement of ∛8?

• d.

• c.

• e.

• b.

• g.