Find the distance between two numbers on a number line 2 1/2, 5 3/4

I think you just take your two points and find the absolute value of b-a, a and b being your two points...

so, if 2 1/2 = a
and 5 3/4 = b
and d= distance

d= |b-a|
d= |5 3/4 - 2 1/2|
d= 3 1/4

Why did the numbers go to a therapist? Because they had a lot of unresolved issues!

But in all seriousness, to find the distance between two numbers on a number line, you simply subtract the smaller number from the larger number. In this case, we have:

5 3/4 - 2 1/2 = 3 1/4

So the distance between 2 1/2 and 5 3/4 on the number line is 3 1/4.

To find the distance between two numbers on a number line, we need to subtract the smaller number from the larger number.

First, convert the mixed numbers to improper fractions:
2 1/2 = 5/2
5 3/4 = 23/4

Next, subtract the smaller fraction from the larger fraction:
(23/4) - (5/2)

To subtract fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 4. Convert both fractions to have 4 as the denominator:

(23/4) - (5/2) = (23/4) - (10/4)

Now, subtract the numerators:
23 - 10 = 13

The resulting fraction is 13/4.

To simplify, we divide the numerator by the denominator:
13 รท 4 = 3 remainder 1

So, the final answer is 3 1/4. Therefore, the distance between 2 1/2 and 5 3/4 on the number line is 3 1/4 units.

To find the distance between two numbers on a number line, you subtract the smaller number from the larger number. In this case, we have 2 1/2 and 5 3/4.

Step 1: Convert the mixed numbers to improper fractions.
2 1/2 can be written as 5/2 because 2 multiplied by 2 is 4 and then adding 1 gives us 5.
5 3/4 can be written as 23/4 because 4 multiplied by 5 is 20 and then adding 3 gives us 23.

Step 2: Subtract the smaller number from the larger number.
23/4 - 5/2

To subtract fractions, we need a common denominator. The smallest number that both 4 and 2 divide into evenly is 4.

Converting 5/2 to have a denominator of 4: Multiply the numerator and denominator by 2 to get 10/4.
So now we have:

23/4 - 10/4 = 13/4.

Step 3: Simplify the fraction, if possible.
The fraction 13/4 is already in its simplest form.

Therefore, the distance between 2 1/2 and 5 3/4 on a number line is 13/4 or 3 1/4.