PART A) DETERMINING RATIONAL OR IRRATIONAL

Which of the following could be both a rational number and irrational number?

• the sum of a rational number and an irrational number

• the product of two irrational numbers

• the product of a rational number and an irrational number

• the quotent of a rational number and an irrational number

Tags

CCSS.HSN.RN.B.3

Without simplifying, determine which one of the following represent a rational number. 

•  $4\ \frac{2}{3}+\frac{\sqrt{3}}{9}$  

•  $4\ \frac{2}{3}+\frac{\sqrt{4}}{8}$  

•  $4\ \frac{2}{3}\cdot\frac{\sqrt{3}}{9}$  

•  $4\ \frac{2}{3}+\frac{\sqrt{2}}{7}$  

Tags

CCSS.HSA.APR.D.7

CCSS.HSN.RN.B.3

Determine whether the sum represents a rational number or an irrrational number.

 $\frac{6}{24}+\frac{\sqrt{2}}{2}$  

Justify your answer on the worksheet provided.

• rational

• irrational

Tags

CCSS.HSN.RN.B.3

Determine wheter the product represents a rational number or an irrrational number.

 $\frac{6}{23}\cdot\frac{15}{127}$  

Justify your answer on the worksheet provided.

• rational

• irrational

Tags

CCSS.HSN.RN.B.3

True or false:

Sammy says that the product of 11.2 and -19 will be a irrational number.

Justify your answer on the worksheet provided.

• true

• false

Tags

CCSS.HSN.RN.B.3

True or false:
Robby says that the sum of  $\sqrt{9}$  and  $5$  will be a irrational number. 

 Justify your answer on the worksheet provided.

• true

• false

Tags

CCSS.HSN.RN.B.3

Which of the following will result in a rational number? select all that apply.

• $\frac{5}{6}+\frac{\sqrt{12}}{3}$

• $\frac{5}{6}\cdot\frac{\sqrt{12}}{3}$

• $\frac{5}{12}+\frac{\sqrt{36}}{3}$

• $\frac{5}{12}\cdot\frac{\sqrt{36}}{3}$

Tags

CCSS.HSN.RN.B.3

Which of the following will result in a rational number? Select all that apply.

• $6\ \frac{4}{8}+\frac{\sqrt{9}}{4}$

• $6\ \frac{4}{5}\cdot\frac{\sqrt{3}}{4}$

• $6\ \frac{4}{5}\cdot\frac{\sqrt{25}}{8}$

• $6\ \frac{4}{5}+\frac{\sqrt{5}}{7}$

Tags

CCSS.HSA.APR.D.7

CCSS.HSN.RN.B.3

Determine if the statement is sometimes true, always true, or never true.

The product of two irrational numbers is rational.

Justify your answer on the worksheet provided.

• sometimes true

• always true

• never true

Tags

CCSS.HSN.RN.B.3

Determine if the statement is sometimes true, always true, or never true.

The sum of two irrational numbers is irrational.

Justify your answer on the worksheet provided.

• sometimes true

• always true

• never true