What do you do to check if a number is rational or irrational? In the explanation use a rational and irrational number.

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if it's an integer, it's obviously rational: 3,-10

if it's a terminating decimal, it's obviously rational 12.3978

If it's a repeating decimal, it's rational:
12.278963 = 12.27 + 8963/1000000

Otherwise it's irrational:
√2 = 1.41421356...

To check if a number is rational or irrational, you can follow these steps:

1. Understand the concept: A rational number is any number that can be expressed as a fraction or ratio of two integers, while an irrational number cannot be expressed as a fraction and its decimal representation goes on indefinitely without repeating.

2. Rational number example: Let's take the number 1/2 as an example. This is a rational number because it can be expressed as the fraction of two integers (1 and 2).

3. Irrational number example: Consider the square root of 2 (√2). This is an irrational number because it cannot be expressed as a fraction of two integers, and its decimal representation goes on infinitely without repeating.

Now, to determine if a number is rational or irrational, you can:

1. Express the number as a fraction or ratio of two integers. If you can find two integers that can create the given number as a fraction, it is a rational number. For example, 1/3, 4/7, and -2/5 are all rational numbers.

2. If you're unable to express the number as a fraction, try representing it as a decimal. If the decimal representation goes on forever without a pattern (doesn't repeat) and cannot be expressed as a fraction, it is an irrational number. For example, the decimal representation of √2 is approximately 1.41421356, and it goes on indefinitely without repeating.

Therefore, to check if a number is rational or irrational, you need to determine if it can be expressed as a fraction of two integers. If it can, it is rational; otherwise, it is irrational.

yeah ok um help me with number ten

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