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.
Square root of 8
Square root of 49
pi
1.333333333
7/8
-4 3/5
0
-5
Irrational numbers: Square root of 8, Square root of 49, pi
Rational numbers: 1.333333333, 7/8, -4 3/5
Integers: Square root of 8, Square root of 49, 1.333333333, -4 3/5, -5
Whole numbers: Square root of 49, 1.333333333, -4 3/5, 0, -5
Natural numbers: Square root of 49, 1.333333333, 0
Irrational numbers: 1.333333333, pi, Square root of 8
Rational numbers: 7/8, -4 3/5
Integers: -5
Whole numbers: 0
Natural numbers: Square root of 49
To correctly place the given numbers in the Venn diagram, we need to understand the definitions of each type of number:
1. Natural numbers: These are the counting numbers starting from 1 and going infinitely (1, 2, 3, 4...).
2. Whole numbers: These are natural numbers including zero (0, 1, 2, 3, 4...).
3. Integers: These are whole numbers including their negative counterparts (-3, -2, -1, 0, 1, 2, 3...).
4. Rational numbers: These are numbers that can be expressed as a fraction of two integers, where the denominator is not zero (including integers and fractions like -3, 0, 1/2, etc.).
5. Irrational numbers: These are numbers that cannot be expressed as a fraction and have decimal expansions that are non-repeating and non-terminating (like the square root of 2 or pi).
Now, let's place the given numbers in the Venn diagram:
Square root of 8: This is an irrational number, as the square root of 8 cannot be expressed as a fraction.
Square root of 49: This is a rational number, as the square root of 49 is 7, an integer.
π (pi): This is an irrational number, as it cannot be expressed as a fraction.
1.333333333: This is a rational number, as it can be expressed as the fraction 4/3.
7/8: This is a rational number, as it is expressed as the fraction 7/8.
-4 3/5: This is a rational number, as it can be expressed as a mixed number (-23/5 when written as an improper fraction).
0: This is a whole number, as it is not a negative number and it is an integer.
-5: This is an integer, as it is a whole number and it is a negative number.
Now, using these explanations, you can place each number in the respective box on the Venn diagram.