The Venn diagram represents the relationship among subsets of real numbers: rational numbers, irrational numbers, integers, whole numbers, and natural numbers. Drag the numbers to the boxes labeled Irrational numbers, Rational numbers, Integers, Whole numbers, and Natural numbers to correctly place the numbers in the Venn diagram. Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. Irrational numbers Rational numbers Integers Whole numbers Natural numbers
The numbers are:
0
-5
-4 3/5
7/8
1.333333333
pi
check mark 49
check mark 8
Only one number per clasification
To correctly place the numbers in the Venn diagram:
- Rational numbers: -4 3/5, 7/8, 1.333333333
- Irrational numbers: pi
- Integers: -5, 0
- Whole numbers: check mark 49
- Natural numbers: check mark 8
To correctly place the numbers in the Venn diagram, here is the categorization:
Irrational numbers: pi
Rational numbers: -4 3/5, 7/8, 1.333333333 (approximated value of 4/3 or 8/6)
Integers: -5, 0
Whole numbers: 0, -5
Natural numbers: None of the given numbers mentioned in the list.
Please note that the "check mark" numbers cannot be classified without any specific values mentioned.
To correctly place the numbers in the Venn diagram, we need to understand the definitions of each number classification:
1. Natural numbers: These are the numbers used for counting. They include all positive integers from 1 onwards. Natural numbers do not include zero or any negative numbers.
2. Whole numbers: Whole numbers include zero and all natural numbers (positive integers) together. So, whole numbers start from 0 and continue with all positive integers.
3. Integers: Integers include all whole numbers and their negatives. This means that integers include zero, all positive whole numbers, and all negative whole numbers.
4. Rational numbers: Rational numbers are numbers that can be expressed as fractions (where both the numerator and denominator are integers). This includes all integers and any number that can be written as a fraction, such as 0.75 (3/4) or 1.333333333 (4/3).
5. Irrational numbers: Irrational numbers are numbers that cannot be expressed as fractions. They are non-repeating and non-terminating decimals. Examples of irrational numbers include pi (π) and square roots of non-perfect squares like √2 or √5.
Now, let's classify the given numbers based on these definitions:
0: Since 0 is a whole number, it will go in the "Whole numbers" box.
-5: -5 is an integer because it is a negative whole number. It will go in the "Integers" box.
-4 3/5: -4 3/5 can be written as -4.6, which is a rational number. So it will go in the "Rational numbers" box.
7/8: 7/8 is a fraction, so it is a rational number. It will also go in the "Rational numbers" box.
1.333333333: This is equivalent to 4/3, which is a rational number. So it will go in the "Rational numbers" box.
π (pi): Pi is an irrational number, so it will go in the "Irrational numbers" box.
check mark 49: It is unclear what "check mark 49" refers to. If it is a whole number or an integer, it will go in the "Whole numbers" or "Integers" box respectively.
check mark 8: Similar to "check mark 49", it is unclear what "check mark 8" refers to. If it falls into any of the classifications mentioned earlier, place it accordingly.
Remember, each number can only be placed in one classification.