Certainly! Let's find three rational numbers for each of the given ranges.
### Part 1: Rational numbers between -5 and 8
To find three rational numbers between -5 and 8, we need to select any three numbers that lie within this interval. Here are the steps:
1. Identify the interval: The interval given is from -5 to 8.
2. Choose three rational numbers within this interval.
The three rational numbers we can choose between -5 and 8 are:
-4, 0, and 4.
These numbers are clearly within the interval from -5 to 8.
### Part 2: Rational numbers between [tex]\(-\frac{1}{3}\)[/tex] and [tex]\(\frac{1}{2}\)[/tex]
To find three rational numbers between [tex]\(-\frac{1}{3}\)[/tex] and [tex]\(\frac{1}{2}\)[/tex], we should select any three numbers that fall within this range. Here are the steps:
1. Identify the interval: The interval given is from [tex]\(-\frac{1}{3}\)[/tex] to [tex]\(\frac{1}{2}\)[/tex] (approximately from -0.333 to 0.5 in decimal form).
2. Choose three rational numbers within this interval.
The three rational numbers we can choose between [tex]\(-\frac{1}{3}\)[/tex] and [tex]\(\frac{1}{2}\)[/tex] are:
-0.1, 0, and 0.3.
These numbers are clearly within the interval from [tex]\(-\frac{1}{3}\)[/tex] to [tex]\(\frac{1}{2}\)[/tex].
### Summary
1. Three rational numbers between -5 and 8 are: [tex]\(-4\)[/tex], [tex]\(0\)[/tex], and [tex]\(4\)[/tex].
2. Three rational numbers between [tex]\(-\frac{1}{3}\)[/tex] and [tex]\(\frac{1}{2}\)[/tex] are: [tex]\(-0.1\)[/tex], [tex]\(0\)[/tex], and [tex]\(0.3\)[/tex].
