# Mathematical Reasoning Class 11 Notes

# Chapter 14 Mathematical Reasoning

Mathematical Thinking is Chapter 14 of Mathematics for Year 11. The NCERT notes to Chapter 14 of Grade 11 Math is simple and concise and is important for learning whether a statement is mathematically acceptable and how to prove it. The NCERT notes allows students to solve all text questions at the end of each topic.

CBSE Grade 11 Mathematics Chapter 14 Mathematics Reasoning covers new sentences such as previous sentences, special words/phrases, consequences, and supporting statements. In this article, we have provided NCERT notes for Grade 11, Chapter 14, Math, and Important Subjects. Scroll down to learn more!

### MATHEMATICS NOTES CHAPTER- 14

### Points to Remember

Below we have provided some of the important points to remember for NCERT Class 11 Math Chapter 14 to ace your exams:

1. Statement (Proposition) and Types of Statement: A sentence is called a mathematically acceptable statement or simply a statement if it is either true or false but not both.

(i) Declarative:

Any statement which is either true or false but not both is called as declarative sentence.

(ii) Imperative:

Any imperative sentence such as command or a request cannot be a statement.

(iii) Exclamatory:

Any exclamatory sentence such as some emotion or excitement type sentence is not a statement.

(iv) Interrogative:

Any interrogative sentence such as a question type sentence is not a statement.

2. Simple statement: The simple statement is a statement which cannot be broken down into two or more statements.

3. Compound statement: A statement is called a compound statement if it is made up of two or more simple statements.

Compound statements are obtained by using connecting words like “AND“, “OR“ etc and phrases “If-then“, “Only if“, “if and only if“, ‘”There exists“, “For all“ etc.

(i)The compound statement with “AND” is

(a) True if all its component statements are true.

(b) False if any of its component statements are false.

(ii)The compound statement with “OR“ is

(a) True when one component statement is true or both the component statements are true.

(b) False when both the component statements are false.

### Topics and Sub-topics

Students may use the NCERT Grade 11 Math Chapter 14 notes provided here as a reference. Mathematical reasoning is a concept that helps students understand that a statement is mathematically acceptable when a statement is either true or false (but not both). Vidyakul's practice with sample questions helps students remember formulas and apply them correctly.

Vidyakul provides answers to all questions from the CBSE Class 11 Math Chapter 14 textbook based on the latest program. Students can solve these problems for free on the Vidyakul platform and get good grades.

# Chapter 14 Mathematical Reasoning

Mathematical Thinking is Chapter 14 of Mathematics for Year 11. The NCERT notes to Chapter 14 of Grade 11 Math is simple and concise and is important for learning whether a statement is mathematically acceptable and how to prove it. The NCERT notes allows students to solve all text questions at the end of each topic.

CBSE Grade 11 Mathematics Chapter 14 Mathematics Reasoning covers new sentences such as previous sentences, special words/phrases, consequences, and supporting statements. In this article, we have provided NCERT notes for Grade 11, Chapter 14, Math, and Important Subjects. Scroll down to learn more!

### MATHEMATICS NOTES CHAPTER- 14

### Points to Remember

Below we have provided some of the important points to remember for NCERT Class 11 Math Chapter 14 to ace your exams:

1. Statement (Proposition) and Types of Statement: A sentence is called a mathematically acceptable statement or simply a statement if it is either true or false but not both.

(i) Declarative:

Any statement which is either true or false but not both is called as declarative sentence.

(ii) Imperative:

Any imperative sentence such as command or a request cannot be a statement.

(iii) Exclamatory:

Any exclamatory sentence such as some emotion or excitement type sentence is not a statement.

(iv) Interrogative:

Any interrogative sentence such as a question type sentence is not a statement.

2. Simple statement: The simple statement is a statement which cannot be broken down into two or more statements.

3. Compound statement: A statement is called a compound statement if it is made up of two or more simple statements.

Compound statements are obtained by using connecting words like “AND“, “OR“ etc and phrases “If-then“, “Only if“, “if and only if“, ‘”There exists“, “For all“ etc.

(i)The compound statement with “AND” is

(a) True if all its component statements are true.

(b) False if any of its component statements are false.

(ii)The compound statement with “OR“ is

(a) True when one component statement is true or both the component statements are true.

(b) False when both the component statements are false.

### Topics and Sub-topics

Students may use the NCERT Grade 11 Math Chapter 14 notes provided here as a reference. Mathematical reasoning is a concept that helps students understand that a statement is mathematically acceptable when a statement is either true or false (but not both). Vidyakul's practice with sample questions helps students remember formulas and apply them correctly.

Vidyakul provides answers to all questions from the CBSE Class 11 Math Chapter 14 textbook based on the latest program. Students can solve these problems for free on the Vidyakul platform and get good grades.

Learn more about the mean, median and mode in Mathematical Reasoning Class 11 Notes pdf.

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