Question

Drag the tiles to the correct boxes to complete the pairs.

Answer 1

{31, 0, 28, -27} are integers

{2pie, 25square root 3, 3.141592653..., square root 48} are irrational numbers

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Answer 2

`\text{Irrational number}=\{2\pi, 25√(3),3.141592653...,√(48)\}`

`\text{Rational number}=\{√(9),(1)/(4), 0.125,-35\}`

`\text{Real number}=\{2√(25), -(4)/(5), (4\pi)/(5), 2√(8)\}`

`\text{Integers}=\{31,0,28,-27\}`

Explanation:

Set of Real numbers: The set of continuous quantity that can represent a distance along a line is known as set of all real numbers.

For example: -3.2, 4/5, π,√2, 4, etc.

Rational number: If a number can be defined in the form of p/q where, q≠0, then the number is called rational number.

For example: -3.2, 4/5, 2, etc.

Irrational number: If a number can't be defined in the form of p/q where, q≠0, then the number is called irrational number.

For example: π,√2, 3.6457..., etc.

Integers: A complete number that can be written without a fractional or decimal components, is called an integer.

For example: -2, 0, 5 etc.

Using the above definition we conclude that

`\text{Irrational number}=\{2\pi, 25√(3),3.141592653...,√(48)\}`

`\text{Rational number}=\{√(9),(1)/(4), 0.125,-35\}`

`\text{Real number}=\{2√(25), -(4)/(5), (4\pi)/(5), 2√(8)\}`

`\text{Integers}=\{31,0,28,-27\}`