Representing numbers on the number line

Look at the following number line and identify which integer corresponds to each of the letters marked with a dot:

Draw a number line in your notebook and represent the following integers on it: $+4$, $-3$, $0$, $+1$ and $-5$. Use a distance of $1$ cm between each number.

Remember that on the number line, the further to the right a number is, the greater it is. Based on this, use the symbols $>$ (greater than) or $<$ (less than) to compare these pairs of numbers:

1. a) $-4$ _____ $+2$
2. b) $-1$ _____ $-5$
3. c) $+3$ _____ $0$
4. d) $-2$ _____ $+1$

Look at the following number line on which three points, $A$, $B$, and $C$, have been marked. Taking into account the positions of the numbers $0$ and $+2$, identify which integer each letter represents.

On the number line, the midpoint between two integers is the position that is exactly the same distance from both.

• Represent the numbers $-6$ and $+2$.

• Visually find the midpoint between them and state what number it represents.

• What is the distance (in units) from that midpoint to either of the two endpoints?

Draw a number line and plot the number $-3$ on it. Next, represent:

• Point $A$, which is the opposite of $-3$.

• Point $B$, which is $5$ units to the left of $-3$.

• Point $C$, which is $2$ units to the right of $A$.

Which number does point $C$ represent? Which is the smallest of the four numbers marked on the line?

You can do it on paper and send a photo with your answer.

Draw a number line and represent on it all the integers $x$ that simultaneously satisfy these two conditions:

1. Their absolute value is less than $5$, that is: $|x| < 5$.

2. They are numbers strictly less than $-1$.

You can do it on paper and send a photo with your answer.

Represent the following integers on a number line. Choose a suitable scale (where each mark on the line can represent more than 1 unit) so that they all fit in your drawing:

$S = \{ -15, +5, -20, +25, 0, -5 \}$