Representing -3/7 on a Number Line:

To represent -3/7 on a number line, we need to follow a few steps:

Step 1: Determine the interval between each tick mark on the number line. This interval can be any value, but it is usually chosen to evenly divide the line based on the range of values being represented.

Step 2: Identify the zero point on the number line. This is the point where the line starts. In this case, we will consider zero as the starting point.

Step 3: Divide the number line into equal intervals based on the chosen interval value. Mark the tick marks accordingly.

Step 4: Locate the position of -3/7 on the number line. Since -3/7 is a negative fraction, it will be represented to the left of the zero point. To determine its exact position, we need to calculate it.

Calculating the position of -3/7:
Since the denominator is 7, we can divide the number line between two consecutive tick marks into 7 equal parts. Each part represents 1/7.

To find -3/7, we start from the zero point and count 3 units to the left (since it is negative). Each unit represents 1/7. Therefore, we move 3/7 units to the left from the zero point.

Step 5: Mark the position of -3/7 on the number line using a dot or a small line segment. Label it as -3/7.

Representing 4/5 on a Number Line:

To represent 4/5 on a number line, we can follow similar steps:

Step 1: Determine the interval between each tick mark on the number line. This interval should be consistent with the previous representation, so let's assume it is the same as before.

Step 2: Identify the zero point on the number line. Since we are continuing from the previous representation, the zero point remains the same.

Step 3: Divide the number line into equal intervals based on the chosen interval value. Mark the tick marks accordingly.

Step 4: Locate the position of 4/5 on the number line. Since 4/5 is a positive fraction, it will be represented to the right of the zero point. To determine its exact position, we need to calculate it.

Calculating the position of 4/5:
Since the denominator is 5, we can divide the number line between two consecutive tick marks into 5 equal parts. Each part represents 1/5.

To find 4/5, we start from the zero point and count 4 units to the right. Each unit represents 1/5. Therefore, we move 4/5 units to the right from the zero point.

Step 5: Mark the position of 4/5 on the number line using a dot or a small line segment. Label it as 4/5.

By following these steps, we can accurately represent -3/7 and 4/5 on a number line, allowing us to visualize their positions and compare them to other rational numbers.

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