Understanding Rational Numbers
Rational numbers are numbers that can be expressed as a fraction, where both the numerator and the denominator are integers. In this case, we need to represent the rational number -6/4 on a number line.
Step 1: Simplifying the Fraction
- The fraction -6/4 can be simplified:
- Both -6 and 4 can be divided by 2.
- Thus, -6/4 = -3/2.
Step 2: Identifying the Decimal Equivalent
- Converting -3/2 to decimal:
- -3 ÷ 2 = -1.5.
This means -6/4 is equivalent to -1.5.
Step 3: Locating -1.5 on the Number Line
- To represent -1.5 on a number line:
- Draw a horizontal line and mark points at regular intervals.
- Label these intervals with integers, such as -3, -2, -1, 0, 1, 2, etc.
Step 4: Marking the Point
- Since -1.5 is between -2 and -1:
- Divide the segment between -2 and -1 into two equal parts.
- The first division represents -1.5.
Final Representation
- Place a point or a dot at -1.5 on the number line.
- You can also label it as -6/4 to indicate its equivalent fraction.
This process helps illustrate how to represent rational numbers visually on a number line, making it easier to understand their position relative to whole numbers.