Question

write additive inverse as well as absolute value of these rational number-2/3​

Answer 1

Answer:

-2/3 = 3/-2

value = 0.6666666667

Answer 2

Answer:

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ADDITIVE INVERSE OF A RATIONAL NUMBER

The opposite, or additive inverse, of a number is the same distance from 0 on a number line as the original number, but on the other side of 0. Zero is its own additive inverse.

In other words, the additive inverse of a rational number is the same number with opposite sign.

For example : Additive inverse of 2/3 is -2/3.

Practice Problems

Problem 1 :

A football team loses 3.5 yards on their first play. On the next play, they gain 3.5 yards. What is the overall increase or decrease in yards?

Solution :

Step 1 :

Use a positive number to represent the gain in yards and a negative number to represent the loss in yards.

Step 2 :

Find -3.5 + 3.5.

Step 3 :

Start at -3.5.

Step 4 :

Move | 3.5 | = 3.5 units to the right, because the second addend is positive.

The result is 0. This means the overall change is 0 yards.

Problem 2 :

Add the rational number 2/3 and its additive inverse.

Solution :

Step 1 :

The additive inverse of 2/3 is -2/3.

Then, we have to find (2/3) + (-2/3).

Step 2 :

In the above addition, since the two rational numbers have different signs, we have to find the absolute difference of them without the actual signs.

|2/3 - 2/3| = |0| = 0

So,

(2/3) + (-2/3) = 0