Mathematical Reasoning Exercise 01
Question:
Which of the following sentences are statements? Give reasons for your answer (i) There are 35 days in a month (ii) Mathematics is difficult (iii) The sum of 5 and 7 is greater than 10 (iv) The square of a number is an even number (v) The sides of a quadrilateral have equal length (vi) Answer this question (vii) The product of (−1) and 8 is 8 (viii) The sum of all interior angles of a triangle is 180∘ (ix) Today is a windy day (x) All real numbers are complex numbers
Answer:
(i) There are 35 days in a month  Statement (ii) Mathematics is difficult  Not a statement (iii) The sum of 5 and 7 is greater than 10  Statement (iv) The square of a number is an even number  Not a statement (v) The sides of a quadrilateral have equal length  Statement (vi) Answer this question  Not a statement (vii) The product of (−1) and 8 is 8  Statement (viii) The sum of all interior angles of a triangle is 180∘  Statement (ix) Today is a windy day  Not a statement (x) All real numbers are complex numbers  Not a statement
Question:
Give three examples of sentences which are not statements Give reasons for the answers
Answer:

What time is it?  This is not a statement because it is a question.

Let’s go to the park!  This is not a statement because it is a suggestion.

Wow!  This is not a statement because it is an expression of emotion.