Write and simplify an absolute value expression to find the distance between –3 and 8 on a number line A. −|−3 − 8| = –11 B. −|−3 + 8| = –5 C. |−3 + 8| = 5 D. |−3 − 8| = 11

D. |−3 − 8| = 11

Step-by-step explanation:

We have to simplify an absolute value expression to find the distance between -3 and 8 on a number line.

Firstly, as we know that the absolute value means any number inside the mod (whether positive or negative) will come out as a positive value only, that means;

The absolute value of -6 = = 6

The absolute value of 6 = = 6

Now, the distance between the numbers -3 and 8 on the number line will be the difference of two numbers inside the mod, that means;

Distance =  =  

As the number inside the mod comes out as a positive value only, so the distance = 11.

Hence, the distance between –3 and 8 on a number line is 11.

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.

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