Examples of Rational Numbers with Absolute Value Less than 6

Explanation:

Rational Numbers:
Rational numbers are numbers that can be expressed as a fraction where the numerator and denominator are integers. They can be positive, negative, or zero.

Absolute Value:
The absolute value of a number is its distance from zero on the number line, regardless of its sign. It is always a non-negative value.

Numbers with Absolute Value Less than 6:
To find rational numbers with an absolute value less than 6, we can consider fractions where the numerator and denominator are integers and the resulting value is less than 6.

Example 1:
Let's consider the rational number -5/7. The absolute value of -5/7 is 5/7, which is less than 6. Therefore, -5/7 is a rational number with an absolute value less than 6.

Example 2:
Another example is 3/5. The absolute value of 3/5 is 3/5, which is also less than 6. Hence, 3/5 is another rational number with an absolute value less than 6.

Conclusion:
In conclusion, rational numbers with an absolute value less than 6 can be found by considering fractions where the resulting value is less than 6. Examples such as -5/7 and 3/5 demonstrate this concept.