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Real Numbers 1.4 12 APK: A Math App for Android Users
Do you want to learn more about real numbers and practice them on your Android device? If yes, then you might be interested in Real Numbers 1.4 12 APK, a math app that can generate and test your knowledge of real numbers. In this article, we will explain what are real numbers, why are they important, what is Real Numbers 1.4 12 APK, how to download it, and how to use it.
What are real numbers and why are they important?
Real numbers are the numbers that can be represented on a number line, such as integers, fractions, decimals, irrational numbers, etc. Some of the examples of real numbers are 23, -12, 6.99, 5/2, π, and so on.
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Real numbers are important because they are used to measure quantities, such as length, area, volume, mass, speed, time, temperature, etc. They are also used to model various phenomena in science, engineering, economics, etc. For example, the speed of light is a real number (approximately 300000 km/s), the area of a circle is a real number (πr), the growth rate of a population is a real number (a percentage), etc.
Definition and examples of real numbers
A real number is any number that can be expressed as a decimal expansion that may be infinite or terminating. For example, 5 is a real number because it can be written as 5.0 or 5.000..., -3/4 is a real number because it can be written as -0.75 or -0.7500..., 2 is a real number because it can be written as an infinite decimal expansion (approximately 1.414213562...).
The set of all real numbers is denoted by R. The set of all real numbers can be divided into two subsets: rational numbers and irrational numbers.
A rational number is any number that can be written as a fraction of two integers (a/b), where b is not zero. For example, 6 is a rational number because it can be written as 6/1 or 12/2 or -18/-3, etc., -5/8 is a rational number because it can be written as -5/8 or -10/16 or -15/24, etc., 0.25 is a rational number because it can be written as 1/4 or 2/8 or 25/100, etc.
An irrational number is any number that cannot be written as a fraction of two integers (a/b), where b is not zero. For example, π is an irrational number because it cannot be written as a fraction of two integers (it has an infinite non-repeating decimal expansion), 3 is an irrational number because it cannot be written as a fraction of two integers (it has an infinite non-repeating decimal expansion), e is an irrational number because it cannot be written as a fraction of two integers (it has an infinite non-repeating decimal expansion).
Properties and operations of real numbers
Real numbers have some properties that make them easy to work with. Some of these properties are:
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Closure property: The sum, difference, product, or quotient of any two real numbers is also a real number.
Commutative property: The order of adding or multiplying any two real numbers does not change the result.
Associative property: The way of grouping any three real numbers when adding or multiplying does not change the result.
Distributive property: The product of a real number and the sum or difference of two real numbers is equal to the sum or difference of the products of the real number and each of the two real numbers.
Identity property: The sum of any real number and zero is the same real number, and the product of any real number and one is the same real number.
Inverse property: The sum of any real number and its additive inverse (opposite) is zero, and the product of any non-zero real number and its multiplicative inverse (reciprocal) is one.
Real numbers can be added, subtracted, multiplied, or divided using some rules and methods. Some of these rules and methods are:
To add or subtract two real numbers, align their decimal points and add or subtract their corresponding digits from right to left. If there are no digits in a place value, assume it is zero. For example, to add 12.34 and 5.678, write them as 12.34 + 05.678 and add each column from right to left: 4 + 8 = 12, 3 + 7 = 10, 2 + 6 = 8, 1 + 5 = 6. The final answer is 18.018.
To multiply two real numbers, multiply their digits as if they were whole numbers and count the total number of decimal places in both factors. Then, place the decimal point in the product so that it has the same number of decimal places as the total count. For example, to multiply 1.2 and 3.45, multiply them as if they were 12 and 345 and get 4140. Then, count the total number of decimal places in both factors: 1 + 2 = 3. Place the decimal point in the product so that it has three decimal places: 4.140.
To divide two real numbers, move the decimal point in the divisor (the number that divides) to the right until it becomes a whole number. Then, move the decimal point in the dividend (the number that is divided) to the right by the same number of places. Then, divide them as if they were whole numbers. For example, to divide 6.75 by 0.25, move the decimal point in the divisor to the right by two places: 0.25 becomes 25. Then, move the decimal point in the dividend to the right by two places: 6.75 becomes 675. Then, divide them as if they were whole numbers: 675 25 = 27.
What is Real Numbers 1.4 12 APK and how to download it?
Real Numbers 1.4 12 APK is an Android app that can generate and practice real numbers on your device. It is designed for students who want to learn more about real numbers and improve their math skills.
Some of the features and benefits of Real Numbers 1.4 12 APK are:
It can generate random real numbers with different levels of difficulty and precision.
It can test your knowledge of real numbers with multiple-choice questions and feedback.
It can show you the solutions and explanations for each question.
It can track your progress and performance with statistics and graphs.
It can work offline without internet connection.
It is free to download and use.
Steps to download and install Real Numbers 1.4 12 APK
To download and install Real Numbers 1.4 12 APK on your Android device, you need to follow these steps:
Go to the official website of Real Numbers 1.4 12 APK and click on the download link. Alternatively, you can use a downloader code to install the app from a third-party source.
Allow your device to install apps from unknown sources. To do this, go to Settings > Security > Unknown Sources and enable it.
Locate the downloaded APK file on your device and tap on it to start the installation process.
Follow the instructions on the screen and wait for the installation to complete.
Launch the app and enjoy generating and practicing real numbers.
How to use Real Numbers 1.4 12 APK to generate and practice real numbers?
Real Numbers 1.4 12 APK is easy to use and has a user-friendly interface. Here are some tips on how to use the app to generate and practice real numbers:
How to generate real numbers using the app
To generate real numbers using the app, you need to follow these steps:
Open the app and tap on the Generate button.
Select the level of difficulty and precision for the real numbers you want to generate. You can choose from easy, medium, hard, or custom levels, and from one, two, three, or four decimal places.
Tap on the Generate button again and wait for the app to generate a random real number.
You can copy, share, or save the generated real number by tapping on the corresponding icons.
How to practice real numbers using the app
To practice real numbers using the app, you need to follow these steps:
Open the app and tap on the Practice button.
Select the type of questions you want to practice. You can choose from identification, comparison, addition, subtraction, multiplication, or division questions.
Select the level of difficulty and precision for the questions you want to practice. You can choose from easy, medium, hard, o