**Problem 1 :**

Find the additive inverse of '-15'.

**Problem 2 :**

Find the additive inverse of '-0.3'.

**Problem 3 :**

Find the additive inverse of '3'.

**Problem 4 :**

Find the additive inverse of '1/7'.

**Problem 5 :**

Simplify :

(-9) + 9

**Problem 6 :**

Simplify :

7 + (-7)

**Problem 7 :**

Given :

5 + x = 0

**Problem 8 :**

Given :

(-7/8) + (x/8) = 0

**Problem 9 :**

Given :

(2/3) + (x/6) = 0

**Problem 10 : **

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 ?

**Problem 1 :**

Find the additive inverse of '-15'.

**Solution :**

The given number is a negative number.

Then, its additive inverse is the number itself with positive sign.

So, additive inverse of '-15' is

+15

**Problem 2 :**

Find the additive inverse of '-0.3'.

**Solution :**

The given number is a negative number.

Then, its additive inverse is the number itself with positive sign.

So, additive inverse of '-0.3' is

+0.3

**Problem 3 :**

Find the additive inverse of '3'.

**Solution :**

The given number is a positive number.

Then, its additive inverse is the number itself with negative sign.

So, additive inverse of '3' is

-3

**Problem 4 :**

Find the additive inverse of '1/7'.

**Solution :**

The given number is a positive number.

Then, its additive inverse is the number itself with negative sign.

So, additive inverse of '1/7' is

-1/7

**Problem 5 :**

Simplify :

(-9) + 9

**Solution :**

The numerical expression '(-9) + 9' is the sum of '-9' and its additive inverse '+9'.

We know the fact that the sum of a number and its additive inverse is zero.

So,

(-9) + 9 = 0

**Problem 6 :**

Simplify :

7 + (-7)

**Solution :**

The numerical expression '7 + (-7)' is the sum of '7' and its additive inverse '-7'.

We know the fact that the sum of a number and its additive inverse is zero.

So,

7 + (-7) = 0

**Problem 7 :**

Given :

5 + x = 0

Find the value of 'x'.

**Solution :**

It is given that the sum of '5' and 'x' is zero.

Then, additive inverse of '5' is 'x'.

But, additive inverse of '5' is '-5'

So,

x = -5

**Problem 8 :**

Given :

(-7/8) + (x/8) = 0

Find the value of 'x'.

**Solution :**

It is given that the sum of '-7/8' and 'x/8' is zero.

Then, additive inverse of '-7/8' is 'x/8'.

But, additive inverse of '-7/8' is '7/8'

So,

x/8 = 7/8

x = 7

**Problem 9 :**

Given :

(2/3) + (x/6) = 0

Find the value of 'x'.

**Solution :**

It is given that the sum of '2/3' and 'x/6' is zero.

Then, additive inverse of '2/3' is 'x/6'.

But, additive inverse of '2/3' is '-2/3'

So,

x/6 = -2/3

Multiply each side by 6.

x = -4

**Problem 10 : **

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.

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