Which of these numbers is irrational? -3.5 3.5 ОО 35 √5 help

Mathematics

1 answer:

Molodets [167]1 year ago

5 0

Answer:

√5 is irrational

Step-by-step explanation:

A rational number is one that can be written exactly as an integer or ratio of integers. Written as a decimal number, it will have a finite number of digits, or a repeating decimal fraction.

<h3>Application</h3>

Usually, a number that can <em>only</em> be expressed <em>exactly</em> using a <em>symbol</em> will be irrational. For square roots, any root of an integer other than a perfect square will be irrational.

The integer 5 is not a perfect square. It is between the squares 2²=4 and 3²=9. The square root of 5 is irrational.

<em>Additional comment</em>

A reduced fraction whose denominator has factors other than 2 or 5 will translate to a repeating decimal. The number of repeating digits may be as many as 1 less than the denominator. For example, 1/19 has an 18-digit repeating decimal equivalent.

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The moon is about 240,000 miles from Earth. What is the distance written as a whole number multiplied by a power of ten?

ololo11 [35]

We need to find 240,000 written as a whole number multiplied by a power of ten.

We need to get rid of the four zeros behind 24 in 240,000.

24 would be our whole number.

We would need to multiply 24 by 10,000 to get 240,000.

10,000 is equal to $10^{4}$ because there are 4 zeros. Ex. when multiplying 200 by 30, we first multiply 2 * 3 then we add 3 zeros to the end of 6. So for 10*10*10*10, we add 4 zeros to the end of 1 which equals 10,000.