There is no possibility of resolving

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

Question 1

What is the opposite number of $$ 0.7 $$

Question 2

What is the opposite number of $$ 87 $$

Question 3

What is the opposite number of $$ 5 $$

Question 4

What is the opposite number of $$ -7 $$

Question 5

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

Examples with solutions for Elimination of Parentheses in Real Numbers

Exercise #1

What is the opposite number of $0.7$

Video Solution

Answer

$-0.7$

Exercise #2

What is the opposite number of $87$

Video Solution

Answer

$-87$

Exercise #3

What is the opposite number of $5$

Video Solution

Answer

$-5$

Exercise #4

What is the opposite number of $-7$

Video Solution

Answer

$7$

Exercise #5

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

Video Solution

Answer

$28$

Question 1

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

Question 2

What is the opposite number of $$ -0.25 $$

Question 3

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

Question 4

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

Question 5

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

Exercise #6

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

Video Solution

Answer

$53$

Exercise #7

What is the opposite number of $-0.25$

Video Solution

Answer

$0.25$

Exercise #8

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

Video Solution

Answer

$\frac{8}{7}$

Exercise #9

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

Video Solution

Answer

$1$

Exercise #10

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

Video Solution

Answer

$-\frac{1}{4}$

Question 1

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

Question 2

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

Question 3

$(-3\frac{2}{6})+(-2.75)=$

Question 4

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

Question 5

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

Exercise #11

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

Video Solution

Answer

$-4$

Exercise #12

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

Video Solution

Answer

$3.25$

Exercise #13

$(-3\frac{2}{6})+(-2.75)=$

Video Solution

Answer

$-6\frac{1}{12}$

Exercise #14

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

Video Solution

Answer

$-1.90625$

Exercise #15

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

Video Solution

Answer

$x=±3$

Topics learned in later sections