Introduction for Statements:
The statements are the group of words compiled together to give a complete meaning. The basic types of the sentences are the positive sentences and the negative sentences. In the mathematics the sentences that are doubtful are called as the ambiguous sentences. In the following article we will see in detail about the topic statements.
More about Statements:
Let us start with three sentences:
In 2005, the president of USA was a woman.
Two is greater than one.
There is no rain without clouds
The above sentences of 1st one is false, the 2nd one is true as well as the 3rd one is true. In mathematically, these above three sentences are called statements because these are unambiguous sentences.
In the department of mathematics, The recognized format of the sentences are called statements. The recognized statements may be true or false and not both. Here, the representation of any statements must be recognized in mathematics.
Let us start with examples are,
Seven minus five is equal to two.
The multiplication of two negative numbers are positive.
All natural numbers are positive whole numbers.
The above sentences are true because all these sentences have no doubtfulness, then these above sentences are called statements.
An ambiguous sentences:
The doubtfulness of the sentences are labeled the ambiguous sentences.
Example: "The multiplication of a and b is a positive number".
Here, we are not able to decide the above sentence is true or false, unless we know the value of a and b.
For example, the above sentence is true for a = -2 and b= -5 as well as true for a= 3 and b= 7, false for a= -7 and b= 5
Therefore, the above sentence is ambiguous, then it is not a statement.
To modify the above sentence,
“ The multiplication of same sign of numbers a and b is a positive number”, is a statement.
Examples on Statements:
There are 14 months in a year.
This sentence is false, because 12 months in a year. Therefore, this sentence is a statement.
The division of 10 by 2 is 5.
This sentence is true, because (10/2) = 5. Therefore, this sentence is a statement.
Today is a good Friday.
This sentence is doubtfulness, unless we know the particular date of Friday. Therefore, this is not a statement.
The square of a number is an odd number.
This sentence is doubtfulness, unless we know the specific number. Therefore, this is not a statement.
The statements are the group of words compiled together to give a complete meaning. The basic types of the sentences are the positive sentences and the negative sentences. In the mathematics the sentences that are doubtful are called as the ambiguous sentences. In the following article we will see in detail about the topic statements.
More about Statements:
Let us start with three sentences:
In 2005, the president of USA was a woman.
Two is greater than one.
There is no rain without clouds
The above sentences of 1st one is false, the 2nd one is true as well as the 3rd one is true. In mathematically, these above three sentences are called statements because these are unambiguous sentences.
In the department of mathematics, The recognized format of the sentences are called statements. The recognized statements may be true or false and not both. Here, the representation of any statements must be recognized in mathematics.
Let us start with examples are,
Seven minus five is equal to two.
The multiplication of two negative numbers are positive.
All natural numbers are positive whole numbers.
The above sentences are true because all these sentences have no doubtfulness, then these above sentences are called statements.
An ambiguous sentences:
The doubtfulness of the sentences are labeled the ambiguous sentences.
Example: "The multiplication of a and b is a positive number".
Here, we are not able to decide the above sentence is true or false, unless we know the value of a and b.
For example, the above sentence is true for a = -2 and b= -5 as well as true for a= 3 and b= 7, false for a= -7 and b= 5
Therefore, the above sentence is ambiguous, then it is not a statement.
To modify the above sentence,
“ The multiplication of same sign of numbers a and b is a positive number”, is a statement.
Examples on Statements:
There are 14 months in a year.
This sentence is false, because 12 months in a year. Therefore, this sentence is a statement.
The division of 10 by 2 is 5.
This sentence is true, because (10/2) = 5. Therefore, this sentence is a statement.
Today is a good Friday.
This sentence is doubtfulness, unless we know the particular date of Friday. Therefore, this is not a statement.
The square of a number is an odd number.
This sentence is doubtfulness, unless we know the specific number. Therefore, this is not a statement.
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