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+31+(+3) = 1+3
     
  • =+-- = +
    1(3)=1+31-(-3) = 1+3
     
  • +=+- = -
    1+(3)=131+(-3) = 1-3
     
  • +=-+ = -
    1(+3)=131-(+3) = 1-3
Elimination of Parentheses in Real Numbers

Practice Elimination of Parentheses in Real Numbers

Exercise #1

What is the opposite number of 7 -7

Video Solution

Answer

7 7

Exercise #2

What is the opposite number of 5 5

Video Solution

Answer

5 -5

Exercise #3

What is the opposite number of 87 87

Video Solution

Answer

87 -87

Exercise #4

What is the opposite number of 0.7 0.7

Video Solution

Answer

0.7 -0.7

Exercise #5

What is the opposite number of 87 -\frac{8}{7}

Video Solution

Answer

87 \frac{8}{7}

Exercise #1

What is the opposite number of 0.25 -0.25

Video Solution

Answer

0.25 0.25

Exercise #2

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

Video Solution

Answer

53 53

Exercise #3

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

Video Solution

Answer

28 28

Exercise #4

(+186)(14)= (+\frac{18}{6})-(-\frac{1}{4})=

Video Solution

Answer

3.25 3.25

Exercise #5

(24)(+3.5)= (-\frac{2}{4})-(+3.5)=

Video Solution

Answer

4 -4

Exercise #1

(22)(334)= (-2^2)-(-3\frac{3}{4})=

Video Solution

Answer

14 -\frac{1}{4}

Exercise #2

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

Video Solution

Answer

x=±5 x=±5

Exercise #3

(+0.5)+(+12)= (+0.5)+(+\frac{1}{2})=

Video Solution

Answer

1 1

Exercise #4

(+x2)+(9)= (+x^2)+(-9)=

Video Solution

Answer

x=±3 x=±3

Exercise #5

(+2.16)+(4116)= (+2.16)+(-4\frac{1}{16})=

Video Solution

Answer

1.90625 -1.90625

Topics learned in later sections

  1. Positive and negative numbers and zero
  2. Opposite numbers
  3. Real line or Numerical line
  4. Addition and Subtraction of Real Numbers
  5. Multiplication and Division of Real Numbers
  6. Integers