1/11/2024 0 Comments Set of whole numbersΠ/2 is an irrational number because pi is a non-terminating decimal and is an irrational number.Ġ is a whole number, an integer and a rational number. It is a rational number because it can be expressed as the ratio of two integers as −61. 6 is an integer because it is the opposite of the whole number 6. Classifying Numbers Table NumberĢ2/7 is a rational number because it is written as the ratio of two integers.ġ.141 141 114… is an irrational number because it is a non-terminating decimal.ġ7/4 is a rational number because it is written as the ratio of two integers. The answer of 7.7 is a rational number since it is a terminating decimal.įor each of the following numbers displayed in the table, indicate the number set or sets to which they belong. The difference in the area of the two flower beds is 36.0 ft 2−28.3 ft 2=7.7 ft 2 Round the area of the circular flower bed to the nearest tenth and then perform the subtraction. Next, subtract the area of the circular flower bed from the area of the square flower bed. It is a non-terminating, non-repeating decimal. The answer of 28.27433388 is an irrational number. Using the value for π from the calculator (3.141592654) gives the answer 28.27433388. The area of the circular flower bed is 28.27433388 ft 2. The area of the circle can be found using the formula:Ī=πr 2 where ‘r’ is the radius of the circle. The answer of 36 is a natural number, a whole number, an integer and a rational number. The area of the square flower bed is 36 ft 2. The area of the square can be found using the formula:Ī=s 2 where ‘s’ is the side length of the square. The answer of 18.84955592 is an irrational number. The circumference of the circle is 18.84955592 feet. Using the value for π from the calculator (3.141592654) gives the answer 18.84955592. The perimeter of a circle can be found by multiplying the diameter by π. The perimeter of a circle is known as its circumference and is the distance around the outer edge of the circle. Next, determine the circumference of the circle. The answer of 24 is a natural number, a whole number, an integer and a rational number. The perimeter of the square is the distance around its outer edges and can be found by adding the lengths of each side or by simply multiplying the side length by four. Next, determine the perimeter of the square. The answer of 6 is a natural number, a whole number, an integer and a rational number. Each side of the square is also 6 feet in length. The diameter of a circle is two times the length of the radius. Then, she should compare the area of the square to the area of the circle.įirst, determine the diameter of the circle which will be the side length of the square. First, Faith should compare the perimeter of the square to the circumference of the circle. She wants to compare the new circular flower bed to the original square one using exact measurements. The following table may help you to better understand the real number system.Įarlier, you were given a problem about Faith and her circular flower bed. If you think of the number 3, you can call it a natural number, a whole number, an integer and a rational number. When you classify numbers remember that they can often belong to more than one set of numbers. When a rational number is expressed as a decimal then the decimal will terminate (end) or it will have a repeating pattern of digits. A rational number is any number that can be expressed in the form ab where b≠0. For example, -2, -1, 0, 1, 2… are all integers. The integers are the whole numbers and their opposites. For example, 0, 1, 2, 3… are all whole numbers. The whole numbers are the natural numbers and zero. For example, 1, 2, 3… are all natural numbers. The natural numbers are the set of positive integers. The set of rational numbers includes natural numbers, whole numbers, integers, numbers that can be expressed as the ratio of two integers, decimal number that terminate and decimal numbers that have a repeating pattern of digits. This set of irrational numbers includes those numbers that cannot be written as the ratio of two integers, decimal numbers that are non-terminating and decimals that do not have a repeating pattern of digits. The set of irrational numbers consists of all numbers that are not rational. One group is called the rational numbers and the other is called the irrational numbers. The numbers in the real number system are divided into two main groups. The real number system consists of every number you have ever dealt with since you were old enough to count. \)Īll numbers belong to the set of numbers known as the real number system.
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