Question

The number line shows the distance in meters of two divers, A and B, from a shipwreck located at point X:

Answer 1

Write an expression using subtraction to find the distance between the two divers. (5 points)

Show your work and solve for the distance using additive inverses. (5 points)

Answer 2

please help

Answer 3

please help

Answer 4

do you know the distance between -2.5 and 0?

Answer 5

yes

Answer 6

ok and what is it?

Answer 7

-2.5

Answer 8

and what is the distance between 0 and 1.5?

Answer 9

well distances are positive or zero

Answer 10

so I think you mean to say 2.5

Answer 11

yes they are

Answer 12

oh yes

Answer 13

the distance from -2.5 to 0 is 2.5
the distance from 0 to 1.5 is 1.5
the distance between -2.5 and 1.5 is the sum of the distances from -2.5 to 0 and 0 to 1.5

Answer 14

-4 or 4

Answer 15

I thought you were looking for distance
what is the negative number there for?

Answer 16

to represent the A distance from the ship wreck

Answer 17

i wrote this as an answer

Answer 18

A = -2.5 B = 1.5

- 2.5 - 1.5 = - 4

This number is also known as the opposite (number), sign change, and negation.

so by using addictive inverse i am basically changing the 1.5 into -1,5 so,

- 1.5 + - 2.5 = - 4

Answer 19

am i wrong?

Answer 20

i think i am

Answer 21

anyways the distance from -2.5 to 0 can be found by doing 0-(-2.5)
and the distance from 0 to 1.5 can be found by doing 1.5-0

and the distance from -2.5 to 1.5 can by found by adding those distances
\[(1.5-0)+(0-(-2.5)) \\ (1.5)+(-(-2.5)) \\ 1.5-(-2.5)\]
we have written the subtraction expression they seeked

Answer 22

we can write it to an equivalent addition expression
by using the fact that -(-2.5)=+2.5
so 1.5-(-2.5)=1.5+2.5

Answer 23

ok

Answer 24

so 4 right?

Answer 25

yes -4 doesn't makes sense
distance is only positive or zero

Answer 26

ok thanks