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

Graphing On The Coordinate Plane How Does Absolute Value Help You Write A Number Sentence To Help You Find The Distance class=

Sagot :

Given:

The points 7 and -7.

Required:

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

Explanation:

1)

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

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

[tex]Distance=|-7-7|[/tex]

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

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

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.

[tex]Distance=|-5-5|[/tex]

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

[tex]Distance=|-(|-5|+|-5|)|[/tex][tex]Distance=|-(5+5)|[/tex][tex]Distance=|-10|[/tex][tex]Distance=10[/tex]

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.

[tex]Distance=|-2-2|[/tex][tex]Distance=|-4|[/tex][tex]Distance=4[/tex]

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.

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