Type of
reasoning
All students go to school. You are a student. Therefore you go to school Deductive
Reasoning
A child examines ten roses, all of which are red, and concludes that all tulips
must be red.
Inductive
Reasoning
John earned perfect score on her first six mathematics tests so he concludes
that she will always earn perfect score on mathematics tests
Inductive
Reasoning
If you brush your teeth daily then you will have fewer cavities. Marie brushes
her teeth daily. Thus, she will have fewer cavities.
Deductive
Reasoning
It has been observed that earthquakes precede the eruption of volcanoes,
Thus earthquakes cause volcanoes to erupt
Inductive
Reasoning
Since today is Friday, tomorrow will be Saturday. Deductive
Reasoning
All home improvements cost more than the estimate. The contractor
estimated that my home improvement will cost P50,000. Thus my home
improvement will cost more than P50,000.
Deductive
Reasoning
Cacti are plants and all plants perform photosynthesis; therefore, cacti
perform photosynthesis.
Inductive
Reasoning
A.
B.
1. Product of an odd integer and an even integer.
(1)(2) = 2
(5) (4) = 20
(3) (6) = 18
Conjuncture: The product of odd and even integers is an even integers.
3. Sum of five consecutive integers
1+2+3+4+5 = 15
Conjuncture: The sum of five consecutive integers is 15.
5. Difference between consecutive perfect squares
22 โ 12 = 3
32 โ 22 = 5
42 โ 32 = 7
52 โ 42 = 9
Conjuncture: The difference between consecutive perfect squares is the sum of their square root.
