Question

umber System - 1/6
+0

Skill Review 1 of 4

Which of these numbers is rational? Select all that apply.
1.28 upper line
2/7
square 6
square 25

Answer 1

he Real Number System - 2/6
+5


2 of 4
Which of these numbers is irrational? Select all that apply.
square 75
1.278591831. . .
7/9
square 36

Answer 2

To determine which of the given numbers are rational, we need to identify whether each number can be expressed as a fraction of two integers (a/b, where a and b are integers and b ≠ 0). Here’s the evaluation of each:

1. **1.28 (with a line above it)**: This notation typically indicates that the digits "28" repeat indefinitely (i.e., 1.282828...). Since repeating decimals can be expressed as a fraction, 1.28 (with a line) is **rational**.

2. **2/7**: This is already in the form of a fraction of integers (2 and 7). Therefore, it is **rational**.

3. **√6 (square root of 6)**: The square root of 6 is an irrational number because it cannot be expressed as a fraction of two integers. Thus, it is **not rational**.

4. **√25 (square root of 25)**: The square root of 25 is 5, which can be expressed as 5/1 (a fraction of two integers). Therefore, it is **rational**.

So, the rational numbers among the provided options are:

1. 1.28 (with a line above it)
2. 2/7
3. √25

In summary, the rational numbers are: **1.28 (with a line above it), 2/7, and √25.**