Mathematics
Grade9
Easy

Question

Read the following conditional statement: If Siddharth does his homework, then he gets his weekly allowance.
What is the conclusion?

  1. He does his homework.
  2. He gets his weekly allowance.

hintHint:

In an "If-Then" statement, the first part or the "If" art is called the hypothesis and the second part or the "Then" part is called the conclusion.

The correct answer is: He gets his weekly allowance.


    Conditional Statement or an If-Then Statement is a statement which has a hypothesis followed by a conclusion i.e., a conditional statement is generally of the form: "If this happens, then that happens."
    The first part or the "If" part is called the hypothesis and the second part or the "Then" part is called the conclusion i.e., in the conditional statement "If this happens, then that happens.", the hypothesis is "this happens" whereas the conclusion is "that happens".
    For example, consider the statement "If 2 divides a number n, then n is an even number". Here, the hypothesis "2 divides a number n" and the conclusion is "n is an even number".
    The given conditional statement is "If Siddharth does his homework, then he gets his weekly allowance."
    Thus, by definition, the hypothesis is the first part or the "If" part of the statement i.e., "Siddharth does his homework" whereas the conclusion is the second part or the "Then" part of the statement i.e., "he gets his weekly allowance".
    Therefore, the conclusion is "he gets his weekly allowance".

    Note thatconditional statement is not always in the form "If-then", for example, "All natural numbers are integers". This is a conditional statement but not in the form of "If-then". But it can be rewritten in the form "If-then" as follows: "If a number is a natural number, then it is an integer."

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