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Natural numbers are closed under additio...

Natural numbers are closed under addition.

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Explore conceptually related problems

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

Give one example each to show that the rational numbers are closed under addition, subtraction and multiplication. Are rational numbers closed under division? Give two examples in support of your answer.

Tht set of natural numbers is closed under 1. addition 2. subtraction 3. multiplication 4. division Which of the above is/are correct ?

Natural numbers are closed under subtraction.

Natural numbers are closed under _____ and under_____.

Natural numbers are not closed under multiplication.

Integers are closed under division.

CLOSURE PROPERTY If a and b are two whole numbers then a+b is also a whole number.In other words the sum of any two whole numbers is a whole number or whole numbers are closed for addition.

Integers are closed under subtraction.

NCERT EXEMPLAR-NUMBER SYSTEM-Exercise (true (T) or false (F))
  1. The smallest 4-digit number is the successor of the largest 3-digit nu...

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  2. Of the given two natural numbers, the one having more digits is greate...

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  3. Natural numbers are closed under addition.

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  4. Natural numbers are not closed under multiplication.

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  5. Natural numbers are closed under subtraction.

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  6. Addition is commutative for natural numbers.

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

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  8. 1 is the identity for multiplication of whole numbers.

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

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

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

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

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

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

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

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

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  17. Every number is a multiple of itself.

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

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

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

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