how many numbers are 10 units from 0 on the number line?
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.
\(x = 10 \: or \: - x = 10\)
\(
\Rightarrow \: x=10 \: or \: x=-10\)
\(Therefore there are two numbers that are 10 units away from zero\)
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.