Question

How many numbers are 10 units from 0 on the number line?

Answer 1

Numbers that are 10 units from 0 have an $absolute value$ of 10.

Let
$x$
represent the numbers. This implies that:

$|x| = 10$

Now let us solve this equation for x.

$x = 10 \: or \: - x = 10$
$\Rightarrow \: x=10 \: or \: x=-10$

$Therefore there are two numbers that are 10 units away from zero$

Answer 2

The correct answer is:

2

Explanation:

There are two directions from 0 on a number line, to the left and to the right.

Numbers to the left of 0 on a number line are negative numbers; numbers to the right of 0 on a number line are positive numbers.

The number 10 units to the left of 0 on a number line is -10, and the number 10 units to the right of 0 on a number line is 10; there are two answers.