Question

Find the distance between the two numbers on a number line. Write your answer as a mixed number.

-7-(-3 2/3)

Answer 1

4 2/3

Explanation:

If you want to find the distance between two numbers on a number line, you can subtract the smaller number from the larger number and take the absolute value of the result.

In this case:

-7 - (-3 2/3)

First, we need to subtract the two numbers:

-7 - (-3 2/3) = -7 + 3 2/3

Now, add -7 and 3:

-7 + 3 = -4

Next, add 2/3 to -4:

-4 + 2/3 = -4 2/3

Now, take the absolute value of this result to find the distance:

|-4 2/3| = 4 2/3

So, the distance between -7 and -3 2/3 on the number line is 4 2/3.

Answer 2

`\sf Distance =3 (1)/(3)`

Explanation:

In order to find the distance between two numbers on a number line, we can subtract the smaller number from the larger number.

`\sf Distance = -7 - (-3 (2)/(3)) \\\\ = -7 +3 (2)/(3)`

Convert it to the proper fraction.

`\sf = -7 + (3* 3 + 2)/(3) \\\\ = -7 + (11)/(3)`

Now, we can subtract the two fractions:

`\sf = ( -7 * 3 + 11 )/(3) \\\\ = (-21-11)/(3)\\\\ = (-10)/(3)`

Since distance can't be in negative, so

`\sf Distance = (10)/(3)`

Therefore, In mixed fraction:

`\sf Distance =3 (1)/(3)`