Five rational numbers smaller than 2 are: -3, -2, -1, 0, and 1.
Understanding Rational Numbers
A rational number is any number that can be expressed as a fraction p/q, where p and q are integers, and q is not equal to zero. Integers themselves are rational numbers (e.g., 2 can be written as 2/1).
Finding Rational Numbers Less Than 2
Since the question asks for rational numbers smaller than 2, we need numbers that have a value less than 2. Here's how the provided examples fulfill that:
- -3, -2, -1: Negative integers are always less than positive integers, including 2.
- 0: Zero is less than any positive number.
- 1: One is less than two.
Alternative Examples
Many other rational numbers are less than 2. Here are some more examples (expressed as both fractions and decimals):
- 1.5 (or 3/2)
- 0.75 (or 3/4)
- -0.5 (or -1/2)
- -1.25 (or -5/4)
- 1.99 (or 199/100)
Essentially, any number you can write as a fraction or a terminating/repeating decimal, that has a value less than 2, qualifies.
