Which of the following statements is-are true- -i- nbsp-The smallest integer is zero- -ii- nbsp-The multiplicative identity for integers nbsp-is nbsp-1- -iii- nbsp-The absolute value of an integer is always greater than the integer- -iv- nbsp-Every negative integer is less than any natural number-i- iii- iv-i- iv-ii- iv-Only iv-

The correct option is D Only iv (i) All the negative integers are less than 0. nbsp; (ii) Multiplicative identity for integers is same as that of nbsp; who ...

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Standard VII

Mathematics

Integers

Which of the ...

Question

Which of the following statements is/are true?

(i) The smallest integer is zero.

(ii) The multiplicative identity for integers is -1.

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

(iv) Every negative integer is less than any natural number.

i, iii, iv

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i, iv

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ii, iv

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Only iv

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Solution

The correct option is D
Only iv

(i) All the negative integers are less than 0.

(ii) Multiplicative identity for integers is same as that of whole numbers i.e., 1.

(iii) Absolute value of a non-negative integer is equal to the integer itself and the absolute value of a negative integer is always greater than the integer.

E.g. absolute value of 6 is 6; absolute value of - 6 is 6.

(iv) Every negative integer is less than any natural number.

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Similar questions

Which of the following statements is/are true?

(i) The smallest integer is zero.

(ii) The multiplicative identity for integers is -1.

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

(iv) Every negative integer is less than any natural number.

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. For each of the following statements, write (T) for true and (F) for false:
(i) The smallest integer is zero.
(ii) Zero is not an integer.
(iii) The opposite of zero is zero.
(iv) −10 is greater than −6.
(v) The absolute value of an integer is always greater than the integer.
(vi) 0 is larger than every negative integer.
(vii) Every negative integer is less than every natural number.
(viii) The successor of −187 is −188.
(ix) The predecessor of −215 is −214.

Q. 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.

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.

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