Question

Plot the numbers on the number line. {–5,11⁄2,2,–3.4}

Answer 1

To plot the numbers {-5, 11/2, 2, -3.4} on a number line, follow these steps:

1. **Draw the Number Line:**
Start by drawing a horizontal line. This will be the number line where you will plot your points.

2. **Mark the Points:**
Before you begin to mark the points on the number line, it is good practice to determine a suitable scale that can accommodate all the numbers, especially the ones with the smallest and largest values. In this case, since we have -5 as the smallest number and 11/2 (which is 5.5) as the largest, make sure your number line extends at least from -6 to 6 to include all numbers.

3. **Zero Point:**
It is important to clearly mark zero on the number line as this is your reference point for positive and negative values.

4. **Place the Integers:**
Start by placing the integers, which are -5 and 2 in this example. Plot -5 to the left of zero, and plot 2 to the right of zero. You may put a dot or a small cross to represent each of these points and label them accordingly.

5. **Plot the Fraction:**
Next, place the fraction 11/2, which is equivalent to 5.5, on the number line. This point should be located to the right of 5 but slightly to the left of 6. Plot this point and label it 11/2 or 5.5, depending on your preference for showing fractions or decimal numbers.

6. **Plot the Decimal:**
Finally, plot the decimal -3.4 on the number line. Since it is negative, it goes to the left of zero. It should be positioned between -3 and -4, closer to -4 because -3.4 is 0.6 units away from -4 but only 0.4 units away from -3. Plot this point and label it -3.4.

7. **Check the Scale:**
Review your number line to ensure that the scale is consistent and that each number is plotted in proportion to its value in relation to the other points.

8. **Final Touches:**
If you like, you can draw vertical lines or ticks at each point where you've plotted a number, to clearly demonstrate that the points are indeed sitting on the number line itself.

Below is a representation of what the final number line could look like:

```
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
|--•----•---•----|----|----|----|----|----|----•----|----•----|-->
-3.4 -5 2 11/2
```

Remember to ensure that the spacing between these plotted numbers is in proportion to the values they represent.

Answer 2

Plot the numbers on the number line. {–5,11⁄2,2,–3.4}

First draw a number line from -10 to 10

Mark the number line as given below

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

The number line graph is attached below

we know where is -5

11/2 = 5.5. it lies between 5 and 6

we have 2 on the number . Plot a point at 2

-3.4 lies between -4 and -3

Inbetween -4 and -3, we have -3.4