Show:
Rational vs. Irrational
Who's Wrong?
Addition vs. Subtraction
Multiplication
True or False?
100

Is 2/3 a rational number or an irrational number?

In decimal form, it is a recurring decimal.

100

Maddy and Jasmine are working on a question: 6.3 -(-1.5), when Jasmine says her answer is a rational number, but Maddy disagrees, saying the answer is irrational. Who's in the wrong in this?

Maddy is the wrong because the decimals used in the equation is finite (meaning the answer is rational).

100

Find the sum of the following problem:

7/3 - 5/3 = ___

Answer: 2/3 or 0.66

100

Solve.

the square root of 6 times the square root of 2

What is: 3.464?

100

True or False: The square root of 100 is an irrational number.

What is: False?

Numbers that are either integers, whole numbers, or finite numbers are considered rational.

200

Is the square root of 400 rational or irrational?

What is: Rational?

The square root of 400 is 20 (rational).

200

Cassidy says that 3.745483 (3 repeated) is irrational, while Allie says that it's rational. Who's wrong?

Allie is wrong because infinite decimals are irrational.

200

Solve.

The square root of 6 - the square root of 3.

0.717

200

Solve:

the square root of 6 (the square root of 5)

5.477

200
True or False: the product of the square root of 3 and the square root of 3 is irrational.
False. Since 3 is a whole number, it's a rational answer.
300

Is 2.67676767 rational or irrational?

Rational. Since the .67 is finite, it is considered rational.

300

Lia says that the square root of 64 is irrational. Her twin sister, Lexi says that its rational. Who is in the wrong?

Lexi is correct because 8 is a rational number.

300

Solve.

the square root of 100 - the square root of 64

2

300

Solve:

square root of 30 times the square root of 5

12.247

300

True or false: The product of two rational numbers is irrational.

False; two rational numbers = a rational number

400

Is the square root of 47 rational or irrational?

Irrational.

400

Jeff and Aaron are working on a worksheet, when Jeff realizes the sum of the square root and 2 and the square root of 5 is rational. However, Aaron says the answer is irrational. Who's wrong?

Jeff is wrong because the decimal seems to be infinite.

400

Solve:

square root of three + square root of six

4.1815

400

Solve:

square root of 15 times square root of 2 

5.4772...

400

True or false: the square root of 64 and the square root of 4 is rational.

True.

500

Is the square root of 28 rational or irrational?

Irrational.

500

Eleanor and her friend Susana are working on a worksheet, when Susana says that the product of the square root of 16 and the square root of 25 is rational. Eleanor disagrees, saying that its irrational. Who's wrong?

Eleanor is wrong because the product is 20, a rational number.
500

Solve.

The square root of 16 + the square root of 4

Answer: 6

500

Solve.

the square root of 20 times the square root of 4

Answer: 8.94427191

500

True or false? The product of a rational number and a rational number leads to an rational number.

True.