……is the additive identity for the addition of rational numbers.
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……is the additive identity for the addition of rational numbers.
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Answer:
(i) commutative, (ii) associative • The rational number 0 is the additive identity for rational numbers. The rational number 1 is the multiplicative identity for rational numbers.
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Answer:
• A number that can be expressed in the form p
q , where p and q are
integers and q ¹ 0, is called a rational number.
• Lowest form of a rational number – A rational number p
q
is said
to be in the lowest form or simplest form if p and q have no common
factor other than 1 and q ¹ 0.
Addition, subtraction, multiplication and division of rational
numbers are done in the same way as we do for fractions.
• Rational numbers are closed under the operations of addition,
subtraction and multiplication.
• The operations of addition and multiplication for rational numbers
are
(i) commutative, (ii) associative
• The rational number 0 is the additive identity for rational numbers.
• The rational number 1 is the multiplicative identity for rational
numbers.