simplify and express the number in decimal form with the same number of significant digits as in the least accurate number given: 1 3 . 0 2 4 1 2 . 5

. (v) The thickness of a metal wire is 0.02 cm. The unit of accuracy required is hundredth of a centimeter. Therefore, only digit 2 is significant. The 0 after decimal indicates the magnitude of measurement. Therefore, the 0 afte..

Let us consider the following entries in a Students' Journal: (a) Weight of a calorimeter = 42 g (measuring instrument used is spring balance) The smallest reading the spring balance can record is 1g. There are 42 of 1 g units of measurement. Hence, there are two ..

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 deci..

Introduction - The sets of numbers which every student must remember are: The set of natural numbers N = {1, 2, 3, 4, 5, } The set of whole numbers W = {0, 1, 2, 3, 4, h..

>A system of linear equations is said to be consistent if it has at least are solution, otherwise it is inconsistent. Let A be asquare matrix of order n. Following are the steps to find the inverse of a matrix. Step 1: Find the value of the determinants A. That is, find |A| Step 2..

(ii) If 2 x + 2 = 128, find the value of x. (iii) Simplify: (iv) Simplify: (v) Show that (x p - q ) p + q (x q - r ) q + r (x r - s ) r + s = 1 (vi) 49 7 x = (343) 2 x - 5 find 'x'. (i) Given expression..

1. Problems involving rational numbers are simplified using 'BODMAS' rule. 2. A rational number can be represented in the decimal form. 3. When a rational number is represented as a deci..

Introduction - A binomial is an algebraic expression of two terms which are connected by the operations '+' or '-'. For example, x - y, a + 3b, x 3 + 4y etc. are binomials. We know that, For n = 1,2,3,4, the expansion of (a + b) n , has be..

Ratio - Ratio is the numerical relation of one quantity to another of the same kind. To find the ratio of 2 m 25 cm to 75 cm, we first change 2 m 25 cm into cm, which equals 225 cm. Now, we have to find 225 cm to 75 cm ratio is = 3 : 1 We can write ..

1 , A 2 ,.....,A n are called the n arithmetic means between a and b. (vii) The sum of n A.M.s between given numbers a and b is equal to n times the A.M. between a and b. (viii) If a, b, c are in A.P., then for any k: (a) a+k, b+k, c+k a..