Represent the following rational numbers on the number line -7/4 and 4/15.

To represent the rational numbers -7/4 and 4/15 on a number line, follow these steps:

1. Understanding the Values of the Rational Numbers:
-7/4: This is a negative rational number. To understand its value, divide -7 by 4.

-7 ÷ 4 = -1.75. So, -7/4 = -1.75.
4/15: This is a positive rational number. To understand its value, divide 4 by 15.

4 ÷ 15 = 0.2667 (approximately). So, 4/15 ≈ 0.27.
2. Plotting on the Number Line:
Draw a horizontal line and mark the integers around the two rational numbers.
The number line should include -2, -1, 0, 1, and 2, as well as smaller intervals to represent the decimals for 4/15 and -7/4.
To represent -7/4 = -1.75, locate the point between -1 and -2, closer to -2 (because -1.75 is nearer to -2 than to -1).
To represent 4/15 ≈ 0.27, locate the point slightly above 0 on the number line, closer to 0 (because 0.27 is a small positive number).
3. Marking the Points:
For -7/4, mark a point between -1 and -2 on the number line, closer to -2.
For 4/15, mark a point just above 0 on the number line, slightly to the right of 0.
Now the two rational numbers, -7/4 and 4/15, are represented on the number line.