Answer to Question #108950 in Math for Riya

Question

Which of the following statements are true or false? Give reasons for your answer. (10) i) In the process of learning a concept, what should be noticed and given recognition is the end product. ii) Capacity and volume of 3D-objects are different concepts. iii) The sum of the interior angles of a pentagon is 450 degree iv) All rational numbers are integers but all integers are not rational numbers. v) (− 4 )− (− 7) = − 3

Answer 1

i) It's true.

ii) It's true.

For example, the volume of baloon is equal to the volume of rubber and the volume of air in it. The capacity here is just the volume of air we inflated the balloon with. This illustrates the limited capacity of the Volume.

iii) False. The sum of the angles of a Pentagon is the sum of the angels of three triangles if you draw two diagonals. So, the total sum of the angles of three 180-degree triangles is: $180×3=540$ degrees.

iv) It's false. Rational number can be represented with are a relation n/m, where n and m are integers, so all integers are rational, but not all rational numbers are integers.

v) It's false.

$(-4) - (-7) = (-4) + 7 = 3.$