Class 6 Exam > Class 6 Questions > Which of the following statements is not true...
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Which of the following statements is not true?
- a)Both addition and multiplication are associative for whole numbers.
- b)Zero is the identity for muliplication of whole numbers.
- c)Addition and multiplication both are commutative for whole numbers
- d)Multiplication is distributive over addition for whole numbers
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Which of the following statements is not true?a)Both addition and mult...
Not True Statement:
Zero is the identity for multiplication of whole numbers.
Explanation:
Associative Property:
- Addition and multiplication are associative for whole numbers.
- Associative property does not affect the value of the expression when the grouping of numbers is changed.
- For example: (2 + 3) + 4 = 2 + (3 + 4) and (2 × 3) × 4 = 2 × (3 × 4)
Commutative Property:
- Addition and multiplication both are commutative for whole numbers.
- Commutative property does not affect the value of the expression when the order of numbers is changed.
- For example: 3 + 4 = 4 + 3 and 2 × 3 = 3 × 2
Distributive Property:
- Multiplication is distributive over addition for whole numbers.
- Distributive property is used when we multiply a number by a sum or difference of numbers.
- For example: 2 × (3 + 4) = 2 × 3 + 2 × 4
Identity Property:
- An identity element of an operation is the value that, when used with that operation, does not change the value of the expression.
- For addition, the identity element is 0, because adding 0 to any number does not change the value of the number.
- However, for multiplication, the identity element is 1, because multiplying any number by 1 does not change the value of the number.
- Therefore, the statement "Zero is the identity for multiplication of whole numbers" is not true.
Conclusion:
- The correct answer is option B, which states that zero is the identity for multiplication of whole numbers, is not true.
- The identity element for multiplication is 1, not 0.
Zero is the identity for multiplication of whole numbers.
Explanation:
Associative Property:
- Addition and multiplication are associative for whole numbers.
- Associative property does not affect the value of the expression when the grouping of numbers is changed.
- For example: (2 + 3) + 4 = 2 + (3 + 4) and (2 × 3) × 4 = 2 × (3 × 4)
Commutative Property:
- Addition and multiplication both are commutative for whole numbers.
- Commutative property does not affect the value of the expression when the order of numbers is changed.
- For example: 3 + 4 = 4 + 3 and 2 × 3 = 3 × 2
Distributive Property:
- Multiplication is distributive over addition for whole numbers.
- Distributive property is used when we multiply a number by a sum or difference of numbers.
- For example: 2 × (3 + 4) = 2 × 3 + 2 × 4
Identity Property:
- An identity element of an operation is the value that, when used with that operation, does not change the value of the expression.
- For addition, the identity element is 0, because adding 0 to any number does not change the value of the number.
- However, for multiplication, the identity element is 1, because multiplying any number by 1 does not change the value of the number.
- Therefore, the statement "Zero is the identity for multiplication of whole numbers" is not true.
Conclusion:
- The correct answer is option B, which states that zero is the identity for multiplication of whole numbers, is not true.
- The identity element for multiplication is 1, not 0.
Community Answer
Which of the following statements is not true?a)Both addition and mult...
Option B is correct. Zero is the identity for multiplication of whole numbers.
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Which of the following statements is not true?a)Both addition and multiplication are associative for whole numbers.b)Zero is the identity for muliplication of whole numbers.c)Addition and multiplication both are commutative for whole numbersd)Multiplication is distributive over addition for whole numbersCorrect answer is option 'B'. Can you explain this answer?
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Which of the following statements is not true?a)Both addition and multiplication are associative for whole numbers.b)Zero is the identity for muliplication of whole numbers.c)Addition and multiplication both are commutative for whole numbersd)Multiplication is distributive over addition for whole numbersCorrect answer is option 'B'. Can you explain this answer? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about Which of the following statements is not true?a)Both addition and multiplication are associative for whole numbers.b)Zero is the identity for muliplication of whole numbers.c)Addition and multiplication both are commutative for whole numbersd)Multiplication is distributive over addition for whole numbersCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements is not true?a)Both addition and multiplication are associative for whole numbers.b)Zero is the identity for muliplication of whole numbers.c)Addition and multiplication both are commutative for whole numbersd)Multiplication is distributive over addition for whole numbersCorrect answer is option 'B'. Can you explain this answer?.
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