which are irrational number -1 and1/4,2and 2/4 , TT, 10/3

11 answers

To determine which of the numbers are irrational, we first need to understand what irrational numbers are. An irrational number is a real number that cannot be expressed as a simple fraction (i.e., a/b where a and b are integers and b is not zero). Irrational numbers have non-repeating, non-terminating decimal representations.

Let's analyze the numbers you've provided:

  1. -1: This is a rational number because it can be expressed as -1/1.
  2. 1/4: This is a rational number because it is a fraction.
  3. 2: This is a rational number because it can be expressed as 2/1.
  4. 2/4: This simplifies to 1/2, which is also a rational number.
  5. TT: This seems to be a typographical error. If this is intended to represent a number like π or another symbol, please clarify. But as it stands, it's not a number.
  6. 10/3: This is a rational number because it is a fraction.

Conclusion: None of the numbers listed (assuming TT is not a recognizable number) are irrational. All are rational numbers.

is sqrt 1 a irrational number

The square root of 1, written as \(\sqrt{1}\), is not an irrational number.

In fact:

\[ \sqrt{1} = 1 \]

Since 1 can be expressed as the fraction \(1/1\), it is a rational number. Therefore, \(\sqrt{1}\) is a rational number, not an irrational one.

which of the following is a natural number 9.94 , 5 ,TT,-5

Natural numbers are the set of positive integers starting from 1 and going upwards (1, 2, 3, 4, ...). They do not include negative numbers, fractions, or decimals.

Let's look at the numbers you provided:

  1. 9.94: This is not a natural number because it is a decimal (not a whole number).
  2. 5: This is a natural number because it is a positive integer.
  3. TT: This does not represent a number. If it's a typographical error or something specific, please clarify, but as it stands, it is not a natural number.
  4. -5: This is not a natural number because it is negative.

Conclusion: The only natural number among the options given is 5.

how about these 13/16 , TT , sqrt4 , 35.494

Let's analyze the numbers you've provided to determine which of them are natural numbers.

  1. 13/16: This is a fraction and not a whole number, so it is not a natural number.

  2. TT: As before, this does not represent a specific numerical value. If you meant something else, please clarify. As it stands, it is not a natural number.

  3. \(\sqrt{4}\): The square root of 4 is 2, which is a whole number. Therefore, \( \sqrt{4} \) is a natural number.

  4. 35.494: This is a decimal number and not a whole number. Therefore, it is not a natural number.

Conclusion: The only natural number among the options given is \(\sqrt{4} (which equals 2)\).

which are real numbers -57 , sqrt20 , sqrt64 , sqrtr0

Real numbers include all the numbers on the number line, encompassing natural numbers, whole numbers, integers, rational numbers, and irrational numbers. Let's assess each of the provided numbers:

  1. -57: This is a real number. It is an integer and also a rational number.

  2. \(\sqrt{20}\): This is a real number. While it is an irrational number (since it cannot be simplified to a fraction of integers), it still belongs to the set of real numbers.

  3. \(\sqrt{64}\): This is a real number as well. It equals 8, which is an integer and thus a rational number.

  4. \(\sqrt{0}\): This is equal to 0, which is also a real number. Zero is considered an integer and a rational number.

Conclusion: All the numbers listed (-57, \(\sqrt{20}\), \(\sqrt{64}\), and \(\sqrt{0}\)) are real numbers.

what is -15

-15 is a real number. More specifically, it is classified as follows:

  1. Integer: -15 is an integer because it is a whole number that can be positive, negative, or zero.
  2. Rational Number: It can be expressed as a fraction, \(-15/1\), where both the numerator and the denominator are integers.
  3. Real Number: As a whole, -15 is a real number, as it falls on the number line and encompasses all rational and irrational numbers.

In summary, -15 is an integer, a rational number, and a real number.