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Identify whether each of the following is a rational or irrational number:

a. 3.4565656...
b. −32
c. 0.532601359...
d. √ 36

1 Answer

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Final answer:

To determine whether each of the given numbers is rational or irrational, we need to understand the definitions of rational and irrational numbers. A rational number is any number that can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a fraction. Applying these definitions to the given numbers, we find that all of them are rational numbers.

Step-by-step explanation:

To determine whether each of the given numbers is rational or irrational, we need to understand the definitions of rational and irrational numbers.

A rational number is any number that can be expressed as a fraction of two integers. For example, 3 is a rational number because it can be written as 3/1.

An irrational number is any number that cannot be expressed as a fraction of two integers. Examples of irrational numbers include π (pi) and √2 (the square root of 2).

Let's analyze each number:

a. 3.4565656...: This is a irrational number.

b. -32: This is a rational number because it can be expressed as -32/1.

c. 0.532601359...: This is a rational number because it can be expressed as 0.532601359 = 532601359/1000000000.

d. √36: This is a rational number because √36 = 6/1.

Therefore, all of the given numbers are rational numbers.

User Carsten Hess
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