Real and Irrational Numbers

√7

• Rational 

• Irrational

Answer explanation

The square root of 7 is an irrational number because it cannot be expressed as a fraction. Therefore, the correct answer is Irrational.

√2

• Rational

• Irrational

Answer explanation

The square root of 2 is an irrational number because it cannot be expressed as a fraction. It is not a rational number.

pi - 3.141592....

• Rational

• Irrational 

Answer explanation

The value of pi is a non-repeating, non-terminating decimal, making it an irrational number. Therefore, the correct answer is Irrational.

Choose all the names that apply to this number:

• Whole

• Integer

• Rational

• Irrational

• Real

Answer explanation

The number 1.6 recurring is a rational and real number because it can be expressed as a fraction and it is a real number on the number line.

Select the ONLY number that is IRRATIONAL

• 4 1/2

• 0.1234567...

• √4

• -0.74747474...

Which of the following is irrational?

• 0.444444444

• -4/5

• π

• 0.2

Classify the following number

Choose all that apply
-10.46

• Natural/Counting number

• Whole number

• Integer

• Rational

• Irrational

Explain if the sum of a rational number and an irrational number is rational or irrational.

You may use actual numbers to prove your argument

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Explain if the product of a nonzero rational number and an irrational number is rational or irrational.

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5/2

• Rational

• Irrational