
State true or false:
Zero is not an integer.
A) True
B) False
Answer
589.8k+ views
HINT:- Before solving this question, we must know about Whole Numbers and Integers.
WHOLE NUMBERS: Whole numbers are a set of numbers including the set of natural numbers (1 to infinity) and the integer '0'. A whole number is called whole because it is not a mixed fraction or any rational number, but can be represented as a 'complete number'.
For example: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 …..100, 156…..till infinite
INTEGERS: Integers are a set of numbers that include all the whole numbers, 0 and all the negative numbers. This set does not comprise of the fractional or decimal numbers.
For example: 0, -27, -19, 2673, 836, -2783, 273, 96, 7, -9, etc.
Complete step-by-step answer:
Let us answer this question now.
As mentioned in the hint provided above, integers are a set of numbers that include all the whole numbers, 0 and all the negative numbers. This set does not comprise of the fractional or decimal numbers.
So, according to this definition of integers, the set of integers includes 0. In other words, 0 is a part of the set of integers.
So, the statement mentioned in the question is wrong, i.e. it is false.
Hence, the answer of this question is false.
Therefore, the correct option for this question is (b) False.
NOTE:- Let us now know about Natural Numbers.
NATURAL NUMBERS: The natural numbers are those numbers that are used for counting and ordering anything. Whenever we count objects, we start from 1. So, natural numbers start from 1 and are till infinity.
For example: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11…..100, 156……….till infinite
WHOLE NUMBERS: Whole numbers are a set of numbers including the set of natural numbers (1 to infinity) and the integer '0'. A whole number is called whole because it is not a mixed fraction or any rational number, but can be represented as a 'complete number'.
For example: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 …..100, 156…..till infinite
INTEGERS: Integers are a set of numbers that include all the whole numbers, 0 and all the negative numbers. This set does not comprise of the fractional or decimal numbers.
For example: 0, -27, -19, 2673, 836, -2783, 273, 96, 7, -9, etc.
Complete step-by-step answer:
Let us answer this question now.
As mentioned in the hint provided above, integers are a set of numbers that include all the whole numbers, 0 and all the negative numbers. This set does not comprise of the fractional or decimal numbers.
So, according to this definition of integers, the set of integers includes 0. In other words, 0 is a part of the set of integers.
So, the statement mentioned in the question is wrong, i.e. it is false.
Hence, the answer of this question is false.
Therefore, the correct option for this question is (b) False.
NOTE:- Let us now know about Natural Numbers.
NATURAL NUMBERS: The natural numbers are those numbers that are used for counting and ordering anything. Whenever we count objects, we start from 1. So, natural numbers start from 1 and are till infinity.
For example: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11…..100, 156……….till infinite
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