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Comparing Integers on the Number Line

The opposite ...

Question

The opposite of positive integers is_

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Solution

The opposite of positive integers is negative integers.
Positive integers lie on the right of the zero on the number line whereas negative integers lie on the left of the zero on the number line. If ' $4$ ‘ is a positive integer, then ’ $- 4$ ' is the negative integer which is opposite of $4$ .

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Q. 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.

Q. Which of the following statements are true?

(i) The sum of a number and its opposite zero.
(ii) The sum of two negative integer is positive integer.
(iii) The sum of a negative integer and a positive integer is always a negative integer.
(iv) The successor of −1 is 1.
(v) The sum of three different integers can never be zero.

Statement 1: Product of two integers with same sign is always a positive integer.

Statement 2: Product of two integers with opposite sign is always a positive integer.

Choose the correct option:

Q. Subtracting two positive/negative integers with same sign or opposite sign is same as:

S t a t e m e n t

I

: When a negative integer is multiplied by another negative integer, a positive integer is obtained.

S t a t e m e n t

I I

: When two opposite sign integers are multiplied, a negative integer is obtained.

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