To classify each number into its lowest possible category, we need to understand the definitions of each category:
1. Natural Numbers: These are positive counting numbers, including 1, 2, 3, 4, 5, and so on.
2. Whole Numbers: Whole numbers include zero along with all the natural numbers. It includes 0, 1, 2, 3, 4, 5, and so on.
3. Integers: Integers are the whole numbers (including zero) along with their negatives. It includes ..., -3, -2, -1, 0, 1, 2, 3, ... and so on.
4. Rational Numbers: Rational numbers are any numbers that can be written as a fraction, where the numerator and denominator are integers and the denominator is not zero. Examples include 1/2, -3/4, 0.5, etc.
5. Irrational Numbers: Irrational numbers are numbers that cannot be expressed as a fraction. They cannot be written as a terminating or repeating decimal. Examples include pi (π) and the square root of 2 (√2).
Now, let's classify each number:
-7: Integer.
56: Natural number, whole number, and integer.
0: Whole number, integer, and rational number.
3/4: Rational number.
-2.5: Rational number.
√9: Rational number.
π: Irrational number.
Classify each number into it's lowest possible category(5 points)
.
Natural Numbers Whole Numbers Integers Rational Numbers Irrational Numbers
9 answers
Classify each number into it's lowest possible category(5 points)
.
Natural Numbers Whole Numbers Integers Rational Numbers Irrational Numbers
3.14, 1.5, -52, 2, 0
.
Natural Numbers Whole Numbers Integers Rational Numbers Irrational Numbers
3.14, 1.5, -52, 2, 0
3.14: Irrational number (π is an irrational number and cannot be expressed as a fraction).
1.5: Rational number (can be expressed as 3/2, a fraction).
-52: Integer (a whole number with a negative sign).
2: Natural number, whole number, integer, rational number (positive counting number).
0: Whole number, integer, rational number (includes zero).
1.5: Rational number (can be expressed as 3/2, a fraction).
-52: Integer (a whole number with a negative sign).
2: Natural number, whole number, integer, rational number (positive counting number).
0: Whole number, integer, rational number (includes zero).
Classify each number as rational or irrational(6 points)
Rational Number Irrational Number
-23.5, 5.732... 0/0.3333, 3/4, 2.12123412345, √7
Rational Number Irrational Number
-23.5, 5.732... 0/0.3333, 3/4, 2.12123412345, √7
Rational Number: -23.5, 0/0.3333, 3/4
Irrational Number: 5.732..., 2.12123412345, √7
Irrational Number: 5.732..., 2.12123412345, √7
Fractions can be part of the whole number system
true or false
true or false
True. Fractions are part of the whole number system.
Match each vocabulary word with it's definition
Irrational Number
Rational Number
Real Number
Whole Number
Natural Number
Integer
a number that can be expressed as a quotient of an integer divided by another integer (example: 10/5)
a number from the number set that includes all natural numbers and zero
a number that is a whole number of it's opposite (example 1 and -1)
a number from the largest number set, which includes rational and irrational numbers
a number that cannot be obtained by the division of 2 integers (cant be a fration)
Irrational Number
Rational Number
Real Number
Whole Number
Natural Number
Integer
a number that can be expressed as a quotient of an integer divided by another integer (example: 10/5)
a number from the number set that includes all natural numbers and zero
a number that is a whole number of it's opposite (example 1 and -1)
a number from the largest number set, which includes rational and irrational numbers
a number that cannot be obtained by the division of 2 integers (cant be a fration)
Irrational Number - a number that cannot be obtained by the division of two integers (can't be a fraction)
Rational Number - a number that can be expressed as a quotient of an integer divided by another integer (example: 10/5)
Real Number - a number from the largest number set, which includes rational and irrational numbers
Whole Number - a number that is a whole number or its opposite (example: 1 and -1)
Natural Number - a number from the number set that includes all natural numbers and zero
Integer - a number that is a whole number or its negative (example: -2, -1, 0, 1, 2)
Rational Number - a number that can be expressed as a quotient of an integer divided by another integer (example: 10/5)
Real Number - a number from the largest number set, which includes rational and irrational numbers
Whole Number - a number that is a whole number or its opposite (example: 1 and -1)
Natural Number - a number from the number set that includes all natural numbers and zero
Integer - a number that is a whole number or its negative (example: -2, -1, 0, 1, 2)
1 answer