Chapter 1: Q. 93 (page 38)

In the following exercise, simplify each expressions.
$25 - [10 - (3 - 12)]$

Short Answer

Expert verified

The simplified value is 6.

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 12 with 3 inside the parentheses.

\begin{array}{rcl} 25 - [10 - (3 - 12)] & = & 25 - [10 - (- 9)] \end{array}

Step 3. Simplification inside brackets.

Add the opposite of the opposite of 9 with 10 inside the brackets.

$\begin{array}{rcl} 25 - [10 - (- 9)] & = & 25 - [10 + 9] \\ = & 25 - [19] \end{array}$

Step 4. Calculation.

Add the opposite of 19 with 25.

$\begin{array}{rcl} 25 - [19] & = & 25 - 19 \\ = & 6 \end{array}$

Step 5. Conclusion.

The simplified value of the given expression is 6.

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In the following exercise, simplify each expressions.
$25 - [10 - (3 - 12)]$

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.25-10-3-12

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

Geometry

Calculus

Discrete Mathematics

Probability and Statistics

Logic and Functions

Decision Maths

Study anywhere. Anytime. Across all devices.

In the following exercise, simplify each expressions.
$25 - [10 - (3 - 12)]$