8.2k views
0 votes
Which numbers are rational?A. 19/8

B. 6/5
C. 4.49
D. π (Note: π is irrational)
E. 5
F. -9
G. 0
H. There are no rational numbers.

User Lemonina
by
8.3k points

1 Answer

2 votes

Final answer:

The correct answer is option A, B, C, E, F, and G,because they can all be expressed as fractions with integer numerators and denominators, while option D (π) is irrational.

Step-by-step explanation:

To determine whether a number is rational, the number must be able to be expressed as a fraction where both the numerator and denominator are integers. Options A (19/8), B (6/5), and C (4.49) are clearly in fractional or decimal form, which can also be written as a fraction (449/100 in the case of 4.49). Option E (5) is an integer, and integers are rational because they can be expressed as a fraction with a denominator of 1 (5/1).

Option F (-9) is also an integer, hence it is rational for the same reason (-9/1). Option G (0) is rational because it can be expressed as 0/1. Option D (π) is known to be irrational and cannot be expressed as a fraction of two integers.Options A, B, C, E, F, and G represent rational numbers because they can all be expressed as fractions with integer numerators and denominators, while option D (π) is irrational.

User Andre Kraemer
by
8.1k points