grade 8 number theory

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a) Reciprocal ratio of 3:5 b) Duplicate ratio of 2:3 =2 2 :3 2 =4:9 c) Triplicate ratio of 3:4 = 3 3 :4 3 = 27:64 d) Sub duplicate ratio of 25:16 =5:4 e) Sub triplicate ratio of 27:8 = 3..

Approximation - We know that the digits of a number, one by one in order from left to right decrease in value rapidly. Let us illustrate it by examples. Mass of a gold ornament is 23.473 g. Round off to (i) two decimal places, (ii) one decimal place. 23.473 g = (2 x 10) + (3 x 1) + The su..

Question: List the elements of the following sets and specify whether they are finite or infinite: Answer: (i) Since there is no natural number lying between 2 and 3, the set is a null set i.e. f . This is a finite set. (i) Since there are infinite number of..

= (14 - 12) - (7 - 3) + (4 - 2) = 2 - 4 + 2 = 0 The system may have infinite number of solutions or no solution. Put x = k in (1) and (2) and solve y + z = 6 - k 2y + 3z = 14 - k. Solving the above two equations, we have z = k + 2 and y = 4 - 2k When x = k, substituting these value..

If m and n are positive integers, and then (i) a m a n = a m + n [Product Law] (ii) [Quotient Law] (iii) (a m ) n = a m n [Power Law] (iv) (ab) m = a m . b m (v) (vi) a o = 1 (vii..

If two matrices have their corresponding elements equal, then they are called equal matrices. If then a = p, b = q, c = r and d = s. a = 7, b = 9, c = 3. (i) Two equal matrices are exactly the same. (ii) If rows are changed into columns and columns into rows, we get a transpose matrix. If the origi..

Equality of Matrices - If two matrices have their corresponding elements equal, then they are called equal matrices. If then a = p, b = q, c = r and d = s. a = 7, b = 9, c = 3. (i) Two equal matrices are exactly the same. (ii) If rows are changed into columns and columns into rows, we get a transpo..

Find the ratio of 2 hours 30 minutes to 45 minutes. 2 hours 30 minutes = 150 minutes ratio is 150 minutes : 45 minutes or 10:3 Ans: 10 : 3 Simplify the ratio can be rewritten as or 9 : 5 Ans: 9 ..

Find the ratio of 2 hours 30 minutes to 45 minutes. 2 hours 30 minutes = 150 minutes ratio is 150 minutes : 45 minutes or 10:3 Ans: 10 : 3 Simplify the ratio can be rewritten as or 9 : 5 Ans: 9 ..