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Which of the following statements is correct?
- a)0 is called the additive identity for rational numbers.
- b)1 is called the multiplicative identity for rational numbers.
- c)The additive inverse of 0 is zero itself.
- d)All the above.
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Which of the following statements is correct?a)0 is called the additiv...
All the given statements are correct. Consider
4/5 [a] Since 4/5 + 0 = 4/5,, 1 is the additive identity of rational numbers. [b] Since
4/5 × 1= 4/5, is the multiplicative identity of rational numbers. [c] Since 0+0=0,
0 is the additive inverse of 0.
4/5 [a] Since 4/5 + 0 = 4/5,, 1 is the additive identity of rational numbers. [b] Since
4/5 × 1= 4/5, is the multiplicative identity of rational numbers. [c] Since 0+0=0,
0 is the additive inverse of 0.
Most Upvoted Answer
Which of the following statements is correct?a)0 is called the additiv...
Explanation:
- Additive identity: A number which when added to any other number, gives the same number is called an additive identity. In rational numbers, 0 is called the additive identity as the sum of any rational number and 0 is the same rational number. Hence option 'a' is correct.
- Multiplicative identity: A number which when multiplied to any other number, gives the same number is called a multiplicative identity. In rational numbers, 1 is called the multiplicative identity as the product of any rational number and 1 is the same rational number. Hence option 'b' is correct.
- Additive inverse: A number which when added to another number gives the additive identity (0) is called the additive inverse. In rational numbers, the additive inverse of a number a is (-a) as a + (-a) = 0. Hence the statement in option 'c' is incorrect.
- Therefore, the correct option is 'd' as both statements 'a' and 'b' are correct.
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Which of the following statements is correct?a)0 is called the additive identity for rational numbers.b)1 is called the multiplicative identity for rational numbers.c)The additive inverse of 0 is zero itself.d)All the above.Correct answer is option 'D'. Can you explain this answer?
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