Chapter 1: Q. 94 (page 38)

In the following exercise, simplify each expressions.
$32 - [5 - (15 - 20)]$

Short Answer

Expert verified

The simplified value is 22.

Step by step solution

Step 1. Concept Used.

According to subtraction property, the subtraction of a number is equal to the addition of its opposite. This can be expressed as follows.

$a - b = a + (- b)$

Step 2. Simplification inside parentheses.

Add the opposite of 20 with 15 inside the parentheses.

$32 - [5 - (15 - 20)] = 32 - [5 - (- 5)]$

Step 3. Simplification inside brackets.

Add the opposite of the opposite of 5 with 5 inside the brackets.

$\begin{array}{rcl} 32 - [5 - (- 5)] & = & 32 - [5 + 5] \\ = & 32 - [10] \end{array}$

Step 4. Calculation.

Add the opposite of 10 with 32.

$\begin{array}{rcl} 32 - [10] & = & 32 - 10 \\ = & 22 \end{array}$

Step 5. Conclusion.

The simplified value of the given expression is 22.

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In the following exercise, simplify each expressions.
$32 - [5 - (15 - 20)]$

Short Answer

Step by step solution

Step 1. Concept Used.

Step 2. Simplification inside parentheses.

Step 3. Simplification inside brackets.

Step 4. Calculation.

Step 5. Conclusion.

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In the following exercise, simplify each expressions.32-5-15-20

Short Answer

Step by step solution

Step 1. Concept Used.

Step 2. Simplification inside parentheses.

Step 3. Simplification inside brackets.

Step 4. Calculation.

Step 5. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Logic and Functions

Geometry

Decision Maths

Calculus

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercise, simplify each expressions.
$32 - [5 - (15 - 20)]$