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Division by zero is not defined....

Division by zero is not defined.

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### Step-by-Step Solution: 1. **Understanding Division**: Division is the process of determining how many times one number (the divisor) is contained within another number (the dividend). 2. **Setting Up the Problem**: Let's take a number \( x \) and try to divide it by 0. We can express this as \( \frac{x}{0} \). 3. **Exploring the Concept of Division**: When we divide \( x \) by 0, we are essentially trying to find a number \( y \) such that \( 0 \times y = x \). 4. **Analyzing the Equation**: If we set up the equation \( 0 \times y = x \), we notice that no matter what value \( y \) takes, the left side will always equal 0 because any number multiplied by 0 is 0. Therefore, there is no value of \( y \) that can satisfy this equation when \( x \) is not 0. 5. **Conclusion on Division by Zero**: Since there is no number \( y \) that can satisfy the equation \( 0 \times y = x \) when \( x \) is not 0, we conclude that division by zero is not defined. 6. **Final Statement**: Thus, the statement "Division by zero is not defined" is true.
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PEARSON IIT JEE FOUNDATION-NUMBER SYSTEM-TEST YOUR CONCEPTS (VERY SHORT ANSWER TYPE QUESTION)
  1. The multiplicative inverse of zero does not exist.

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  2. Division by zero is not defined.

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  3. Multiplication is not commutative for integers.

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  4. The product of two improper fractions is less than both the fractions

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  5. (a) The product of two proper fractions is less than each of the fr...

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  6. 2.3458xx1000=234.58

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  7. 29/1000=0.0029?

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  8. Every irrational number can be expressed on the number line. This stat...

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  9. The square root of a negative number is irrational.

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  10. What is the additive identity element in the set of whole numbers? ...

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  11. A fraction in which the numebrator is greater than the denominator is ...

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  12. Mixed fraction a combination of a whole number and a proper fraction i...

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  13. The product of two proper fractions is always fraction.

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  14. 0.2xx0.3=

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  15. The decimal form of a proper fraction whose denominator is a multiple ...

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  16. .999999………=

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  17. Non repeating and non terminating decimals are called.

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  18. Given, sqrt2 = 1.414 and sqrt6=2.449, find the value of 1/(sqrt3-sqrt2...

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  19. If sqrt(2)=1. 414 , find the value of sqrt(3)+sqrt(6) upto three place...

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  20. What is the multiplicative identity element in the set of whole number...

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