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 h..
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 h..Introduction
.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 significant figure. To s..
A recurring decimal can be expressed as a fraction
A recurring decimal is denoted by placing dots or a bar over recurring digits. Express the following recurring decimals as equivalent fractions: (a) (b) (c) (a) Let x = 0.4444 Multiply both sides by 10 ( one digit is recurring)..
A recurring decimal is denoted by placing dots or a bar over recurring digits. Express the following recurring decimals as equivalent fractions: (a) (b) (c) (a) Let x = 0.4444 Multiply both sides by 10 ( one digit is recurring)..Question 9
Question: How many six digits telephone numbers can be made if each number starts with 45 and no digit appears more than once? Answer: The first two places are reserved for 4 and 5. The remaining 8 digits can be arran..
Mathematical Induction Introduction
Introduction - The word 'Induction' means method of reasoning from individual cases to general ones or from observed instances to unobserved ones. Many important mathematical formulae are such that a result is formed by some means which does not provide for a direct pr..
Introduction - The word 'Induction' means method of reasoning from individual cases to general ones or from observed instances to unobserved ones. Many important mathematical formulae are such that a result is formed by some means which does not provide for a direct pr..Significant Figures Summary
Summary - We use specific number of digits to denote the value of a number to a certain degree of accuracy. For a number between 0 and 1, the successive zeros after the decimal are not significant. For a number with a decimal point, the final zeros ..
Summary - We use specific number of digits to denote the value of a number to a certain degree of accuracy. For a number between 0 and 1, the successive zeros after the decimal are not significant. For a number with a decimal point, the final zeros ..Find an even number with three digits such that all the digits are dif..
Find an even number with three digits such that all the digits are different and add up to 12. The difference between first two digits equals the difference between the last two digits. The digit in the hundreds pl..
Circular Permutations
When things are arranged in places along a line with first and last place, they form a linear permutation. So far we have dealt only with linear permutations. When things are arranged in places along a closed curve or a circle, in which any place may be regar..
When things are arranged in places along a line with first and last place, they form a linear permutation. So far we have dealt only with linear permutations. When things are arranged in places along a closed curve or a circle, in which any place may be regar..Significant Figures
We use specific number of digits to denote an exact value of a number for required accuracy. The digits used for such a purpose are called significant figures. The difference between these two values is called the absolute error. Absolut..
Summary
1. We use specific number of digits to denote the value of a number to a certain degree of accuracy. 2. For a number between 0 and 1, the successive zeros after the decimal are not significant. 3. For a number with a deci..
Result
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