~khan academy 7th grade Which of the following expressions represents the distance between 1.71.7 1.7 1, point, 7 and −12-\dfrac{1}{2} − 2 1 minus, start fraction, 1, divided by, 2, end fraction on a number line? Choose 1 Choose 1 (Choice A) A ∣1.7−12∣\left\lvert 1.7 -\dfrac{1}{2}\right\rvert ∣ ∣ ∣ ∣ ∣ 1.7− 2 1 ∣ ∣ ∣ ∣ ∣ open vertical bar, 1, point, 7, minus, start fraction, 1, divided by, 2, end fraction, close vertical bar (Choice B) B ∣1.7−(−12)∣\left\lvert 1.7 - \left(-\dfrac{1}{2}\right)\right\rvert ∣ ∣ ∣ ∣ ∣ 1.7−(− 2 1 ) ∣ ∣ ∣ ∣ ∣ open vertical bar, 1, point, 7, minus, left parenthesis, minus, start fraction, 1, divided by, 2, end fraction, right parenthesis, close vertical bar (Choice C) C None of the above

The expression that represents the distance between 1.7 and -0.5 is given by |1.7 - (-0.5)| and this can be determined by using the arithmetic operations.

Given :

Numbers  --  1.7 and -0.5

The distance between two points 1.7 and -0.5 is given by:

Distance = 1.7 + |-0.5|

               = 2.2

Now, check all the options in order to determine the correct option:

A) |1.7 - 0.5|

Simplify the above expression.

|1.7 - 0.5| = 1.2

B) |1.7 - (-0.5)|

Simplify the above expression.

|1.7 - (-0.5)| = |1.7 + 0.5| = 2.2

Therefore, the correct option is B).

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Question:

Which of the following expressions represents the distance between 1.7 and −1/2 on a number line?

Choose 1  

C. None of the above

Step-by-step explanation:

Given

Numbers: 1.7 and -1/2

Required

Determine the distance

To calculate the distance, we start by calculating the difference between the given numbers;

Then, we calculate the distance;

In this case, the distance is meant to be positive; So, we'll introduce the symbol for absolute value;

Hence,

Substitute for Difference;

Hence, the correct option is B

Step-by-step explanation:

We know that:

We have:

Correct choice is B