Witch number set does 6 belong to
The number 6 belongs to various sets, including:
1. Natural numbers: {1, 2, 3, 4, 5, 6, ...}
2. Whole numbers: {0, 1, 2, 3, 4, 5, 6, ...}
3. Integers: {..., -3, -2, -1, 0, 1, 2, 3, ...}
4. Rational numbers: numbers that can be expressed as fractions (e.g., 6 = 6/1)
5. Real numbers: numbers that can be represented on a number line, including rational and irrational numbers (e.g., square root of 6)
6. Complex numbers: numbers with a real part and an imaginary part (e.g., 6 + 0i)
The number 6 belongs to several number sets. Here are a few:
1. Natural Numbers: 6 is a natural number because it is a positive whole number, starting from 1 and going up infinitely (1, 2, 3, 4, 5, 6, ...).
2. Whole Numbers: 6 is also a whole number because it includes all the natural numbers (0, 1, 2, 3, 4, 5, 6, ...).
3. Integers: 6 is an integer because it includes all whole numbers and their negatives (-6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, ...).
4. Rational Numbers: 6 is a rational number because it can be expressed as a fraction, where the numerator and denominator are both integers. In this case, 6 can be written as the fraction 6/1.
5. Real Numbers: 6 is a real number because it can be represented on the number line. Real numbers include all rational and irrational numbers. In the case of 6, it is a rational number.
These are just a few number sets to which 6 belongs. There are more specialized number sets as well, but these are the most common ones.
To determine which number set 6 belongs to, we need to understand the different types of number sets. Here are the common number sets:
1. Natural numbers (N): This set includes all positive integers starting from 1 (1, 2, 3, 4, 5, 6, ...).
2. Whole numbers (W): This set includes all natural numbers and zero (0, 1, 2, 3, 4, 5, 6, ...).
3. Integers (Z): This set includes all whole numbers and their negatives (-∞, ..., -3, -2, -1, 0, 1, 2, 3, ..., +∞).
4. Rational numbers (Q): This set includes all numbers that can be expressed as fractions or ratios of two integers (p/q, where p and q are integers and q is not zero). Examples include 1/2, 3/4, -2/5, etc.
5. Real numbers (R): This set includes all rational numbers as well as irrational numbers. Irrational numbers cannot be expressed as fractions and include numbers like π (pi) and √2 (square root of 2).
6. Complex numbers (C): This set includes all numbers in the form a + bi, where a and b are real numbers, and i is the imaginary unit (√-1).
Now, let's determine the number set to which 6 belongs. Since 6 is a positive whole number, it belongs to the set of natural numbers (N), whole numbers (W), integers (Z), rational numbers (Q), and real numbers (R). However, 6 does not have an imaginary part, so it does not belong to the set of complex numbers (C).
Therefore, 6 belongs to the number sets of N, W, Z, Q, and R.