Question

~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 answer: Choose 1 answer: (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

Answer 1

Question:

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

Choose 1 answer:

`A.\ |1.7 - 1/2|`

`B.\ |1.7 -(-1/2)|`

C. None of the above

Answer:

`B.\ |1.7 -(-1/2)|`

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;

`Difference = 1.7 - (-1/2)`

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,

`Distance = |Difference|`

Substitute
`1.7 - (-1/2)` for Difference;

`Distance = |1.7 - (-1/2)|`

Hence, the correct option is B