Answer please

under subtraction, 0 x 3 = 0, a whole number 3 x 7 = ... . Is it a whole number? Whole numbers are closed under Multiplication In general, if a and b are any two whole numbers, their multiplication. product a b is a whole number. Whole numbers are not closed Division 5 + 8 = 2, which is not a whole number. under division. Thus whole numbers are closed under addition, subtraction and multiplication but not closed under division For the four types of number the closure property is shown in the following table. Closed under Numbers addition subtraction multiplication division Rational numbers Yes Yes Yes No Integers Yes Yes Yes No Whole numbers Yes No Yes No Natural numbers Yes No Yes No (a) Which of the following operation is closed for natural numbers? a) 3 + 7 = 10 b) 32 : 5 = 6.4 c) 18 - 25 = - 7 d) 10 - 14 = - 4 ( b ) Which of the following operation is not closed for integers? a) 48 : 5 = 9.6 b) 14 - 14 = 0 C) 18 - 25 = - 7 d) 12 - 17= - 5 (c) Fill in the blanks: The rational numbers in the operation = x ~ = ~ are (d) State whether the given statement is True or False: Rational numbers are closed under Division operation. a) True b) False (e) Which of the following operation is not closed for Rational numbers? a) =+935 7= 21 b) X II c) = : 0 (not defined) d)+= 66. Read the text carefully and answer the questions: Ahay and Arun were playing number game. Ajay thought a number , he doubled it and added 4. Arun also taken same number and added 9 to this number. The result of Ajay and Arun was same. Suppose the number thought by Ajay was x then Double + 4 = 2x + 4, Arun just added 9 to number so his result = x + 9, Both get same number