Question

Which expression is equivalent to the distance between –13 and –4 on a number line? Select all that apply.
A. |–13 + (–4)|
B. |–13 – (–4)|
C. |–13 – 4|
D. |–4 + (–13)|
E. |–4 – (–13)|

Answer 1

Answer:

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Step-by-step explanation:

–4 on a number line? Select all that apply. A. |–13 + (–4)| B. |–13 – (– 4)| C. |–13 – 4| D. |–4 + (–13)| E. |–4 – (–13)|.

Answer 2

The expressions |–13 – (–4)| and |–4 – (–13)| are equivalent to the distance between –13 and –4 on a number line.

Option B and E are correct.

Given: –13 and –4 on a number line.

To find:

Which expression is equivalent to the distance between –13 and –4 on a number line? Select all that apply.

A. |–13 + (–4)|

B. |–13 – (–4)|

C. |–13 – 4|

D. |–4 + (–13)|

E. |–4 – (–13)|

Solution:

We know that,

Distance between two points can be calculated by subtraction and it is a positive quantity.

Step 1:

Find the distance between -13 and -4.

$= - 13 - ( - 4)$

$= - 13 + 4$

$\bf = - 7$

but distance is absolute value.

Thus,

Distance between -13 and -4 is 7.

Step 2:

Find the values of option expressions.

A. |–13 + (–4)|

=|-13-4|

=|-17|

= 17 ≠7

B. |–13 – (–4)|

=|-13+4|

=|-7|

= 7

C. |–13 – 4|

=|-13-4|

=|-17|

= 17 ≠7

D. |–4 + (–13)|

=|-4-13|

=|-17|

= 17 ≠7

E. |–4 – (–13)|

=|-4+13|

=|7|

= 7

Thus,

Expressions of option B and E are equivalent to the distance between –13 and –4 on a number line.

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