3.5 Comparing and Ordering Numbers

Categorize

Options (18)

-5

0

2

-10

-25

7

$$\sqrt[]{16}$$  

$$-\frac{1}{2}$$  

$$\frac{3}{4}$$  

$$-2.5$$  

$$0.\overline{3}$$  

$$0.\overline{6}$$  

$$\pi$$  

$$\sqrt[]{2}$$  

$$\sqrt[3]{36}$$  

$$\sqrt[]{42}$$  

$$\pi^2$$  

$$0.1010010001...$$  

Organize these options into the right categories

Integers (6)

Rational (6)

Irrational (6)

Reorder

Order from least to greatest

• $$-3.14$$

• $$\frac{1}{2}$$

• $$\sqrt[]{2}$$

• $$\sqrt[]{16}$$

• $$5$$

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Reorder

Order from least to greatest

• $$\frac{-10}{3}$$

• $$-3.2$$

• $$1$$

• $$\pi$$

• $$3.2$$

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Reorder

Order from least to greatest

• $$\frac{1}{2}$$

• $$\sqrt[]{2}$$

• $$\frac{\pi}{2}$$

• $$1.\overline{6}$$

• $$\sqrt[]{3}$$

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Hotspot

Where should $$\frac{3}{4}$$ be on the number line?

Multiple Choice

Which statement best describes the value of $$\sqrt[]{5}$$

• between 2.0 and 2.5

• between 3.5 and 3.0

• exactly 5

• exactly 2.23

Multiple Choice

Which statement best describes the value of $$0.\overline{6}$$

• between 0 and 0.5

• between 0.5 and 1.0

• exactly 0.67

• exactly 0.6

Multiple Choice

Which statement best describes the value of $$\sqrt[]{36}$$

• between 5.5 and 6

• between 6 and 6.5

• exactly 6

• exactly 6.6

Hotspot

Where does $$\sqrt[]{4}+\sqrt[]{7}$$ fall on the number line?

Hotspot

Where does $$\sqrt[]{16}+\sqrt[]{3}$$ fall on the number line?

Hotspot

Where does $$\sqrt[]{25}-\sqrt[]{6}$$ fall on the number line?