All Pre-Algebra Resources
Example Question #78 : Number Theory
Which of the following numbers is depicted by the point on the number line?
The point lies halfway between and , or at .
Example Question #1 : Number Lines
Plot the fraction on the number line.
The fraction is less than and greater than , so it must fall between those points on the number line. Negative numbers are to the left of while positive numbers are to the right.
Because is less than , the point must be closer to than .
Example Question #80 : Number Theory
Find the distance between and on a number line.
To find the distance on a number line:
Example Question #81 : Number Theory
Express this inequality statement using symbols.
= less than
= greater than
= less than or equal to
= greater than or equal to
Example Question #4 : Number Lines
Find the inequality that corresponds to the following number line.
When looking at the number line, we can see that x is any integer between 2 and 7.
Anything to the right of an integer is considered "greater than" and anything left of an integer is considered "less than".
So, we know that x is greater than 2, but less than 7.
Now, since the circle above the 2 is shaded in, 2 is included in the solution. The circle above the 7 is not shaded in, so 7 is not included in the solution.
We now know that x is greater than or equal to 2, and it is still less than 7.
Using the statement above, we will create 2 inequalities.
Now, can also be written as . It has the same value, it just looks a little different.
So we have the two inequalities
We can combine them, and it'll look like this
Example Question #82 : Number Theory
Put in order from least to greatest.
Thus, in increasing order:
Example Question #6 : Number Lines
Find the inequality that corresponds with this number line.
When looking at the number line,
we see at -5 there is a filled in circle. We also see there is an arrow going to the right of -5. Every integer to the right of -5 is greater than -5 itself. Because the circle above -5 is filled in, we know -5 is included in the inequality. We get
Example Question #7 : Number Lines
Put the following numbers in order from least to greatest.
There is only one negative number in the numbers.
The next biggest is ,
Next is ,
Next is ,