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Natural numbers are not closed under mul...

Natural numbers are not closed under multiplication.

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Integers are closed under multiplication.

Natural numbers are closed under addition.

Natural numbers are closed under subtraction.

Which of the following expressions shows that rational numbers are associative under multiplication

Write 'T' for true and 'F' for false for each of the following: (i) Rational numbers are always closed under subtraction. (ii) Rational numbers are always closed under division. (iii) 1divide 0=0. (iv) Subtraction is commutative on rational numbers. (v) -((-7)/(8))=(7)/(8) .

State True or False Rational numbers are closed under addition and multiplication but not under subtraction.

Integers are closed under subtraction.

Consider the following statement I. The set of positive powers of 2 is closed under multiplication. II. The set [1,0,-1] is closed under multiplication. III. The number 35 has exactly four divisors. IV. The set [1,0,-1] is closed under addition. Of the above statement

NCERT EXEMPLAR-NUMBER SYSTEM-Exercise (true (T) or false (F))
  1. Of the given two natural numbers, the one having more digits is greate...

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  2. Natural numbers are closed under addition.

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  3. Natural numbers are not closed under multiplication.

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  4. Natural numbers are closed under subtraction.

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  5. Addition is commutative for natural numbers.

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  6. 1 is the identity for addition of whole numbers.

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  7. 1 is the identity for multiplication of whole numbers.

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  8. There is a whole number which when added to a whole number, gives the ...

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  9. There is a natural number which when added to a natural number, gives ...

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  10. If a whole number is divided by another whole number, which is greater...

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  11. Any non-zero whole number divided by itself gives the quotient 1.

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  12. The product of two whole numbers need not be a whole number.

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  13. A whole number divided by another whole number greater than 1 never gi...

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  14. Every multiple of a number is greater than or equal to the number.

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  15. The number of multiples of a given number is finite.

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  16. Every number is a multiple of itself.

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  17. Sum of two consecutive odd numbers is always divisible by 4.

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  18. If a number divides three numbers exactly, it must divide their sum ex...

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  19. If a number exactly divides the sum of three numbers, it must exactly ...

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  20. If a number is divisible both by 2 and 3, then it is divisible by 12.

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