What are the first ten integers?
Answer
513.9k+ views
Hint: Integers are the non-fractional numbers. Integers can be positive or negative. it cannot be a fractional number. When a counting number is subtracted from itself, the result is zero. When a larger number is subtracted from a smaller number, result is negative
Complete step-by-step answer:
From the given question it is clear that we have to find the first ten integers.
Integer is a number.
Integer is a whole-valued positive or negative number.
Integer is a non-fractional number.it cannot be a fractional number. for example
Integers can be zero.
When a counting number is subtracted from itself, the result is zero for example \[2-2=0\]. When a larger number is subtracted from a smaller number, the result is negative. For example \[3-4=-1\].
In this way, every integer can be derived from the counting numbers.
For Example, \[-1,-2,0,+1,+2,+5\] are integers because integers can be positive or negative and these are non-fractional numbers.
\[\dfrac{1}{6},\dfrac{3}{4},\dfrac{5}{9}\] etc. these numbers can not be integers because these are fractional numbers.
The numbers represented on the number line are all integers.
Now we have a clear idea about integers.
Now let us find the first ten integers.
Now let us start with \[-5\],we get
\[-5, -4,-3,-2,-1,0,+1,+2,+3,+4\] in these numbers there are no fractional numbers and irrational numbers so all these are integer numbers.
So, these are considered to be the first ten integer numbers.
So, we can conclude that \[-5, -4,-3,-2,-1,0,+1,+2,+3,+4\] are the first ten integer numbers.
Note: Students should learn the correct concept to do this type of conceptual questions.
Students may have the misconception that \[0\] is not an integer number but \[0\] is also an integer number.
This misconception can lead to this question wrong.
Complete step-by-step answer:
From the given question it is clear that we have to find the first ten integers.
Integer is a number.
Integer is a whole-valued positive or negative number.
Integer is a non-fractional number.it cannot be a fractional number. for example
Integers can be zero.
When a counting number is subtracted from itself, the result is zero for example \[2-2=0\]. When a larger number is subtracted from a smaller number, the result is negative. For example \[3-4=-1\].
In this way, every integer can be derived from the counting numbers.
For Example, \[-1,-2,0,+1,+2,+5\] are integers because integers can be positive or negative and these are non-fractional numbers.
\[\dfrac{1}{6},\dfrac{3}{4},\dfrac{5}{9}\] etc. these numbers can not be integers because these are fractional numbers.
The numbers represented on the number line are all integers.
Now we have a clear idea about integers.
Now let us find the first ten integers.
Now let us start with \[-5\],we get
\[-5, -4,-3,-2,-1,0,+1,+2,+3,+4\] in these numbers there are no fractional numbers and irrational numbers so all these are integer numbers.
So, these are considered to be the first ten integer numbers.
So, we can conclude that \[-5, -4,-3,-2,-1,0,+1,+2,+3,+4\] are the first ten integer numbers.
Note: Students should learn the correct concept to do this type of conceptual questions.
Students may have the misconception that \[0\] is not an integer number but \[0\] is also an integer number.
This misconception can lead to this question wrong.
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