Choose which group of sets the following number belongs to. Be sure to account for ALL sets. 9/10
The number 9/10 belongs to the following sets:
1. Rational numbers: The number 9/10 can be expressed as a fraction and is therefore a rational number.
2. Real numbers: The set of real numbers includes rational and irrational numbers, and since 9/10 is a rational number, it is also a real number.
3. Integers: The set of integers includes whole numbers and their negatives. Although 9/10 is not an integer itself, it can be written as the fraction 9/10 or the decimal 0.9, which is very close to 1. Thus, it can be rounded up to the nearest integer, which is 1. Therefore, 9/10 can also be considered an integer in a broader sense.
4. Natural numbers: The set of natural numbers is a subset of whole numbers and includes positive integers only. Since 9/10 is not a positive integer, it does not belong to the set of natural numbers.
Therefore, the number 9/10 belongs to the sets of rational numbers, real numbers, and integers.
try again
Apologies for the oversight. Let's reassess the sets to which the number 9/10 belongs:
1. Rational numbers: The number 9/10 can be expressed as a fraction, making it a rational number.
2. Real numbers: The set of real numbers comprises both rational and irrational numbers. Since 9/10 is rational, it is also a real number.
3. Integers: Integers consist of positive and negative whole numbers, as well as zero. The number 9/10 is not an integer since it lies between 0 and 1.
4. Natural numbers: Natural numbers are positive integers, starting from 1. The number 9/10 is not a natural number either.
Therefore, the number 9/10 belongs to the sets of rational numbers and real numbers. It does not fall within the sets of integers or natural numbers.
Choose which group of sets the following number belongs to. Be sure to account for ALL sets. 3
The number 3 belongs to the following sets:
1. Rational numbers: The number 3 can be expressed as a fraction, specifically 3/1. Therefore, it is a rational number.
2. Real numbers: The set of real numbers comprises both rational and irrational numbers. Since 3 is a rational number, it is also a real number.
3. Integers: Integers are the set of whole numbers and their negatives, including zero. Since 3 is a positive whole number, it is also an integer.
4. Natural numbers: Natural numbers are positive integers, starting from 1. Given that 3 is a positive integer, it is a natural number as well.
Therefore, the number 3 belongs to the sets of rational numbers, real numbers, integers, and natural numbers.
Choose which set or sets the following number belongs to. Be sure to account for ALL sets. \sqrt{2}
The number √2 belongs to the following sets:
1. Irrational numbers: The square root of 2, denoted as √2, is an irrational number. This means that it cannot be expressed as a fraction or a terminating or repeating decimal. Irrational numbers include numbers like √2, π, and e.
2. Real numbers: The set of real numbers includes both rational and irrational numbers. As √2 is an irrational number, it is also a real number.
3. Complex numbers: Complex numbers consist of a real part and an imaginary part, where the imaginary part is a multiple of the imaginary unit i. Since √2 is a real number (√2 + 0i), it can also be considered a complex number.
Therefore, the number √2 belongs to the sets of irrational numbers, real numbers, and complex numbers.
Order the numbers below from least to greatest. 1/2, -3, \sqrt{6}, - 5/4, 4.2
Ordering the numbers from least to greatest:
1. -3
2. -5/4
3. 1/2
4. √6 (approximately 2.449)
5. 4.2