Question

graphing on the coordinate plane how does absolute value help you write a number sentence to help you find the distance

Answer 1

Given:

The points 7 and -7.

Required:

We need to find the distance between 7 and -7 by using absolute values.

Step-by-step explanation:

1)

We need to subtract the given numbers to find the distance.

Subtract 7 from -7 and take absolutely to find the distance.

`Distance=|-7-7|`

Just add the absolute value of each number together, put a negative sign in front,

`Distance=|-(|-7|+|-7|)|`
`Distance=|-(7+7)|`
`Distance=|-14|`
`Distance=14`
`We\text{ know that abosulute values of negative number is postive.}`

The absolute value of a number is never negative.

Answer:

The distance is non-negative. so absolute values help to avoid the negative values for distance since the absolute value of a number is never negative.

2)

Subtract 5 from -5 and take absolutely to find the distance.

`Distance=|-5-5|`

Just add the absolute value of each number together, put a negative sign in front,

`Distance=|-(|-5|+|-5|)|`
`Distance=|-(5+5)|`
`Distance=|-10|`
`Distance=10`

Answer:

The distance is non-negative. so absolute values help to avoid the negative values for distance since the absolute value of a number is never negative

3)

Subtract 2 from -2 and take absolutely to find the distance.

`Distance=|-2-2|`
`Distance=|-4|`
`Distance=4`

Answer:

The distance is non-negative. so absolute values help to avoid the negative values for distance since the absolute value of a number is never negative

Final answer:

1)

The absolute value of the difference between 7 and -7 is 14.

The distance is non-negative. so absolute values help to avoid the negative values for distance since the absolute value of a number is never negative.

2)

The absolute value of the difference between 5 and -5 is 10.

The distance is non-negative. so absolute values help to avoid the negative values for distance since the absolute value of a number is never negative.

3)

The absolute value of the difference between 2 and -2 is 4.

The distance is non-negative. so absolute values help to avoid the negative values for distance since the absolute value of a number is never negative.