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Are the following statements true or fa...

Are the following statements true or false? Give reasons for your answers. (i) Every whole number is a natural number. (ii)Every integer is a rational number. (iii)Every rational number is an integer.

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To determine whether the given statements are true or false, let's analyze each statement one by one. ### Statement (i): Every whole number is a natural number. 1. **Definition of Whole Numbers**: Whole numbers include all natural numbers and the number zero. So, the set of whole numbers is {0, 1, 2, 3, ...}. 2. **Definition of Natural Numbers**: Natural numbers are the set of positive integers starting from 1. So, the set of natural numbers is {1, 2, 3, ...}. 3. **Analysis**: Since whole numbers include 0, which is not a natural number, this statement is **false**. ### Statement (ii): Every integer is a rational number. ...
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Are the following statements true or false? Give reasons for your answer? Every whole number is a natural number Every integer is a rational number. Every rational number is an integer. Every natural number is a whole number. Every integer is a whole number Every rational number is a whole number

Are the following statements true or false? Give reasons for your answer? Every whole number is a natural number Every integer is a rational number. Every rational number is an integer. Every natural number is a whole number. Every integer is a whole number Every rational number is a whole number

Are the following statements true or false ? Give reasons for your answers. (i) Every whole number is a natural number. (ii) Every whole number is a rational number. (iii) Every integer is a rational number. (iv) Every rational number is a whole number.

Is every whole number a natural number?

State whether the following statements are true or false. Give reasons for your answers.(i) Every natural number is a whole number. quad (ii) Every integer is a whole number.(iii) Every rational number is a whole number.

Every fraction is a rational number.

Every rational number is a fraction.

In each of the following state if the statement is true (T) or false (F): (i) The quotient of two integers is always an integer. (ii) Every integer is a rational number. (iii) Every rational number is an integer. (iv) Every fraction is a rational number. (v) Every rational number is a fraction. (vi) If a/b is a rational number and m any integer, then a/b=(axxm)/(bxxm) (vii) Two rational numbers with different numerators cannot be equal. (viii) 8 can be written as a rational number with any integer as denominator. (ix) 8 can be written as a rational number with any integer as numerator. (x) 2/3 is equal to 4/6dot

Which of the following statements are true? Give reason to support your answer. Every set has a proper subset.

Is the following statements true or false ? Every integer is a rational number.

NCERT ENGLISH-NUMBER SYSTEMS-Solved Examples
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  2. Locate sqrt(3)on the number line.

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  3. Find the decimal expansions of (10)/3,7/8and 1/7.

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  4. Find five rational numbers between 1 and 2. We can approach this prob...

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  5. Locate sqrt(2)on the number line.

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  6. Are the following statements true or false? Give reasons for your ans...

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  7. Rationalise the denominator of 1/(7+3sqrt(2))

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  8. Simplify (i) 2^(2/3). 2^(1/3) (ii) (3^(1/5))^4 (iii) (7^(1/5))/(7^(1...

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  9. Show that 1. 272727. . .=1. bar 27can be expressed in the form p/q, wh...

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  11. Visualize the representation of 5. 3 bar7 on the number line upto 5 de...

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  12. Find the irrational number between 1/7and 2/7.

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  13. Add 2sqrt(2)+5sqrt(3) and sqrt(2)-3sqrt(3).

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  14. Check whether 7sqrt(5),7/(sqrt(5)),sqrt(2)+21 ,pi-2are irrational numb...

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  15. Divide 8sqrt(15)and 2sqrt(3).

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  16. Multiply 6sqrt(5)by 2sqrt(5).

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  17. Rationalise the denominator of 1/(sqrt(2))

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  18. Simplify the following expressions. (i) (5+sqrt(7))(2+sqrt(5)) (ii) (...

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  19. Rationalise the denominator of 5/(sqrt(3)-sqrt(5))

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  20. Rationalise the denominator of 1/(2+sqrt(3))

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