Question 5 - Figure it out - Page 127-132 - Chapter 5 Class 8 - Tales by Dots and Lines (Ganita Prakash II)

Transcript

Question 5 Check whether each of the statements below is true. Justify your reasoning. Use algebra, if necessary, to justify. (i) The average of two even numbers is even.We take an example Let the two even numbers be 2 & 4 Average = (2 + 4)/2 = 6/2 = 3 Since the average is odd, the given statement is false Question 5 Check whether each of the statements below is true. Justify your reasoning. Use algebra, if necessary, to justify. (ii) The average of any two multiples of 5 will be a multiple of 5.We take an example Let the two multiples of 5 be 5 & 10 Average = (5 + 10)/2 = 15/2 = 7.5 Since 7.5 is not a multiple of 5, the given statement is false Question 5 Check whether each of the statements below is true. Justify your reasoning. Use algebra, if necessary, to justify. (iii) The average of any 5 multiples of 5 will also be a multiple of 5.We take an example Let five multiples of 5 be 5, 5, 5, 5 & 10 Average = (5 + 5 + 5 + 5 +10)/2 = 35/2 = 17.5 Since 17.5 is not a multiple of 5, the given statement is false