State whether the following statements are true or false. Give reasons for your answers. (i) Every natural number is a whole number. (ii) Every integer is a whole number. (iii) Every rational number is a whole number.

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Yogesh Kumar Pandey

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(i) Every natural number is a whole number.True, Natural numbers start from 1 and go on indefinitely (1, 2, 3, 4, …).Whole numbers include all natural numbers plus zero (0, 1, 2, 3, …).Since every natural number is part of the whole number set, this statement is true. (ii) Every integer...
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(i) Every natural number is a whole number.True,Natural numbers start from 1 and go on indefinitely (1, 2, 3, 4, …).Whole numbers include all natural numbers plus zero (0, 1, 2, 3, …).Since every natural number is part of the whole number set, this statement is true. (ii) Every integer is a whole number. False, Integers include negative numbers as well (-3, -2, -1, 0, 1, 2, 3, …).Whole numbers do not include negative numbers; they start from 0 and go upward.Since negative integers are not whole numbers, this statement is false. (iii) Every rational number is a whole number. False, Rational numbers include fractions and decimals that can be expressed as p/q, where p and q are integers and q is not equal to 0. Whole numbers do not include fractional values or non-integer decimals. Since rational numbers like 15\4 or 3.75 are not whole numbers, this statement is false. read less
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Passionate Teacher for Science, Maths & Programming (C, Java)

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Passionate Teacher for Science, Maths & Programming (C, Java)

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"Rajesh Kumar N: Guiding Young Minds from 1 to 12 with Expertise and Care"

(i) True. Every natural number (1, 2, 3, ...) is included in whole numbers (0, 1, 2, 3, ...). (ii) False. Integers include negative numbers (e.g., --1, --2), which are not whole numbers. (iii) False. Rational numbers include fractions (e.g., 1/2, --3/4), which are not whole numbers.
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(i) Every natural number is a whole number. This statement is true because the set of natural numbers is represented as N = {1, 2, 3...} and the set of whole numbers is W = {0, 1, 2, 3...}. We see that every natural number is present in the set of whole numbers. For example, 5 is a natural number...
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(i) Every natural number is a whole number. This statement is true because the set of natural numbers is represented as N = {1, 2, 3...} and the set of whole numbers is W = {0, 1, 2, 3...}. We see that every natural number is present in the set of whole numbers. For example, 5 is a natural number as well as a whole number. ii) Every integer is a whole number. This statement is false because the set of integers is represented as Z = { -2, -1, 0, 1, 2...} and the set of whole numbers is W = {0, 1, 2, 3...}. We see that the negative integers are not the elements of the whole numbers set. Thus, negative integers are not a subset of whole numbers. For example, -2 is an integer but not a whole number. iii) Every rational number is a whole number. This statement is false as every number represented in the form of p/q where q ≠ 0 does not get simplified to a whole number. For example, 1/2 is a rational number, but not a whole number. read less
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Find five rational numbers between (3/5) and (4/5).
five rational numbers between 3/5 and 4/5. First, convert the fractions to a common denominator, say 10. (3/5) * (2/2) = 6/10 (4/5) * (2/2) = 8/10 Now, find five numbers between 6/10 and 8/10. We can easily...
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