name the digit in the ones place in the number (300 * 4) + (70 * 1) + (3 * 1).


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Name the digit in the ones place in the number (300 × 4) + (70 &..
Name the digit in the ones place in the number (300 × 4) + (70 × 1) + (3 × 1). => 4 or 3 or 30 or none of these..
Approximation
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 dec..
Significant Figures Introduction
. (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 after decimal point is not significant. .02 cm has one..
Mathematical Induction Introduction
. Though intuitively we can say that if the next to the last book falls, the last book also falls, but this needs to be proved by logical reasoning. Now let us consider the following. 1. Assume that there is some book 'k' which doesn't fall over i.e., k is the first book which behaves in ..
Some important results
Some important results - Given a, b, c and d are non-zero real numbers, we can deduce other proportions by simple Algebra. These results are often referred by the names mentioned along each of the properties obtained. (1) If then bc = ad This property is known as INVER..
Types of Matrices
Row Matrix - A matrix having only one row is called a row-matrix. For example: A[1 3 2 -2] is a row matrix of order 1 x 4..
Summary
1. A matrix is a rectangular array of numbers, arranged in rows and columns. 2. Order of a matrix = Number of rows in it x Number of columns in it 3. Row matrix is a matrix with only one row. 4. Column mat..
Examples:
Each one of the following series form an A.P. i) 1, 3, 5, 7, ii) 3, 7, 11, 15, iii) 15, 12, 9, iv) x, x - d, x - 2d, ..... The common difference is found by subtracting any term of the series from the immediate succeeding term. In the above example, com..
Ratio and Proportion I Introduction
Introduction - Lets say there are 6 frogs and 2 crabs in a pond. We can compare the number of frogs to the number of crabs in two different ways: How many more frogs than crabs are there? or How many fewer crabs than frogs are there? The answer to both the questions is same i.e...
Matrices Introduction
Introduction - Let us consider the marks obtained by four students in Physics, Chemistry and Biology for the first unit test. We have represented the data in rows and columns. (i) Rows show the marks obtained by each student. (ii) The columns show the marks in Physics, Chemistry, Biology obtained b..
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