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Question

Compare the following pairs of numbers using $$>$$ or $$<$$.
$$0 \,\square -8$$;
$$-1 \,\square -15$$;
$$5 \,\square -5$$;
$$11 \,\square 15$$;
$$0 \,\square 6$$;
$$-20 \,\square 2$$
From the above exercise, Rohini arrived at the following conclusion:
(a) Every positive integer is larger than every negative integer.
(b) Zero is less than every positive integer.
(c) Zero is larger than every negative integer.
(d) Zero is neither a negative integer nor a positive integer.
(e) Farther a number from zero on the right, larger is its value.
(f) Farther a number from zero on the left, smaller is its value.
Do you agree with her? Give examples.

Solution
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Similar Questions
Q1
Which of the following statements are true?

(i) The smallest integer is zero.

(ii) The opposite of zero is zero.

(iii) Zero is not an integer.

(iv) 0 is larger than every negative integer.

(v) The absolute value of an integer is greater than the integer.

(vi) A positive integer is greater than its opposite.

(vii) Every negative integer is less than every natural number.

(viii) 0 is the smallest positive integer.
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Q2
Zero is larger than every negative integer.
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Q3

Choose the correct option:

Statement 1: Zero is less than every negative integer.

Statement 2: Zero is more than every positive integer.


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Q4
Every positive integer is larger than every negative integer.
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Q5
For each of the following statements, write (T) for true and (F) for false:

(i) The smallest integer is zero.
(ii) − 10 is greater than − 7
(iii) Zero is larger than every negative integer.
(iv) The sum of two negative integers is a negative integer.
(v) The sum of a negative integer and a positive integer is always a positive integer.
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