Real, Rational, Irrational, Integer, Whole, Natural
4 1/8
Rational Real
correct
Thank you
The number 4 1/8 can be categorized as both a rational number and a real number.
Rational numbers include all numbers that can be expressed as a fraction, where both the numerator and denominator are integers. Since 4 1/8 can be written as the fraction 33/8, it is considered a rational number.
Real numbers include all rational and irrational numbers. This means that any number that can be expressed on the number line is considered real. Since 4 1/8 can be represented on the number line, it is also considered a real number.
To determine whether a given number is real or rational, we need to understand these terms:
1. Real numbers: Real numbers include all rational and irrational numbers. They can be expressed as either terminating or non-terminating decimals, fractions, or whole numbers.
2. Rational numbers: Rational numbers are numbers that can be expressed as a fraction of two integers (a fraction in the form of a/b, where a and b are integers and b is not zero). Rational numbers can also be expressed in decimal form, which can either terminate (1.25) or repeat (0.3333...).
Now, let's identify whether the number 4 1/8 is rational or real.
The number 4 1/8 can be written as a mixed number or an improper fraction. Writing it as an improper fraction, we have (4 * 8 +1) / 8 = 33/8.
Since 33/8 can be expressed as a fraction of two integers, it is a rational number. Therefore, 4 1/8 is both a rational and a real number.