Express ‘-6’ as the difference between a negative integer and a whole number.
Answer
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Hint: In the given question we have to express ‘-6’ as the difference between negative integer and a whole number to solve the question at first, we must learn about the Integers and the whole numbers accordingly we can express the given numbers in terms of integers and whole numbers.
Complete step-by-step answer:
Integers: Integers are defined as numbers that can be written without a fraction component (either positive or negative.
Following numbers are Integers –
……., -3, -2, -1, 0, 1, 2, 3, ….
Positive Integers: 1, 2, 3, 4, ……. are called positive integers.
Negative Integers: -1, -2, -3, -4, …… are called negative integers.
Whole numbers: Positive numbers that can be written without a fraction component (including
zero) is called a whole number.
Example: 0, 1, 2, 3, 4……. are considered to be whole number in mathematics
negative integer – whole number
\[\begin{array}{*{20}{l}}
{\left( { - 6} \right){\text{ }} - {\text{ }}\left( 0 \right)\;\; = {\text{ }} - 6} \\
{\left( { - 5} \right){\text{ }} - {\text{ }}\left( 1 \right)\;\; = {\text{ }} - 6} \\
{\left( { - 4} \right){\text{ }} - {\text{ }}\left( 2 \right)\;\; = {\text{ }} - 6} \\
{\left( { - 3} \right){\text{ }} - {\text{ }}\left( 3 \right)\;\; = {\text{ }} - 6} \\
{\left( { - 2} \right){\text{ }} - {\text{ }}\left( 4 \right)\;\; = {\text{ }} - 6} \\
{\left( { - 1} \right){\text{ }} - {\text{ }}\left( 5 \right)\;\; = {\text{ }} - 6}
\end{array}\]
Note: Zero is neither positive integer nor negative integer. But you can differentiate it with respect to odd or even numbers.
There are also some other kinds of numbers in mathematics such as Natural numbers, Rational numbers, Real numbers, imaginary numbers etc. These all are not the same thing; you must learn about all kinds of numbers. It will definitely help you in mathematics.
Complete step-by-step answer:
Integers: Integers are defined as numbers that can be written without a fraction component (either positive or negative.
Following numbers are Integers –
……., -3, -2, -1, 0, 1, 2, 3, ….
Positive Integers: 1, 2, 3, 4, ……. are called positive integers.
Negative Integers: -1, -2, -3, -4, …… are called negative integers.
Whole numbers: Positive numbers that can be written without a fraction component (including
zero) is called a whole number.
Example: 0, 1, 2, 3, 4……. are considered to be whole number in mathematics
negative integer – whole number
\[\begin{array}{*{20}{l}}
{\left( { - 6} \right){\text{ }} - {\text{ }}\left( 0 \right)\;\; = {\text{ }} - 6} \\
{\left( { - 5} \right){\text{ }} - {\text{ }}\left( 1 \right)\;\; = {\text{ }} - 6} \\
{\left( { - 4} \right){\text{ }} - {\text{ }}\left( 2 \right)\;\; = {\text{ }} - 6} \\
{\left( { - 3} \right){\text{ }} - {\text{ }}\left( 3 \right)\;\; = {\text{ }} - 6} \\
{\left( { - 2} \right){\text{ }} - {\text{ }}\left( 4 \right)\;\; = {\text{ }} - 6} \\
{\left( { - 1} \right){\text{ }} - {\text{ }}\left( 5 \right)\;\; = {\text{ }} - 6}
\end{array}\]
Note: Zero is neither positive integer nor negative integer. But you can differentiate it with respect to odd or even numbers.
There are also some other kinds of numbers in mathematics such as Natural numbers, Rational numbers, Real numbers, imaginary numbers etc. These all are not the same thing; you must learn about all kinds of numbers. It will definitely help you in mathematics.
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