# Elimination of Parentheses in Real Numbers - Examples, Exercises and Solutions

In previous articles, we have studied real numbers and the grouping of terms, as well as the order of mathematical operations with parentheses. In this article, we move forward and combine these topics in order to understand when and how we can eliminate parentheses in real numbers.

## What does the elimination of parentheses in real numbers mean?

When we perform grouping of like terms ("addition and subtraction") with real numbers, we confine the real number within parentheses.

Parentheses can be removed but when eliminating them, the following rules must be remembered:

• $++ = +$
$1+(+3) = 1+3$

• $-- = +$
$1-(-3) = 1+3$

• $+- = -$
$1+(-3) = 1-3$

• $-+ = -$
$1-(+3) = 1-3$

## Practice Elimination of Parentheses in Real Numbers

### Exercise #1

What is the opposite number of $-7$

### Video Solution

$7$

### Exercise #2

What is the opposite number of $5$

### Video Solution

$-5$

### Exercise #3

What is the opposite number of $87$

### Video Solution

$-87$

### Exercise #4

What is the opposite number of $0.7$

### Video Solution

$-0.7$

### Exercise #5

What is the opposite number of $-\frac{8}{7}$

### Video Solution

$\frac{8}{7}$

### Exercise #1

What is the opposite number of $-0.25$

### Video Solution

$0.25$

### Exercise #2

$(+71)+(-18)=$

### Video Solution

$53$

### Exercise #3

$(+43)-(+15)=$

### Video Solution

$28$

### Exercise #4

$(+\frac{18}{6})-(-\frac{1}{4})=$

### Video Solution

$3.25$

### Exercise #5

$(-\frac{2}{4})-(+3.5)=$

### Video Solution

$-4$

### Exercise #1

$(-2^2)-(-3\frac{3}{4})=$

### Video Solution

$-\frac{1}{4}$

### Exercise #2

$(-x)^2-(+25)=$

### Video Solution

$x=±5$

### Exercise #3

$(+0.5)+(+\frac{1}{2})=$

### Video Solution

$1$

### Exercise #4

$(+x^2)+(-9)=$

### Video Solution

$x=±3$

### Exercise #5

$(+2.16)+(-4\frac{1}{16})=$

### Video Solution

$-1.90625$