Author: admin
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Decimals place value!
As you study this lesson, you will discover that decimals place value is similar to place value of whole numbers. Study the following diagram carefully. You should see some similarity with place value for whole numbers. In the number 15.43258, the place value for 4 is the tenths. Note that 1 tenth = 0.1 or 110 ,…
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Six ways of writing decimals
Number forms of decimals are the different ways of writing decimals. See below the six different ways of writing the same decimal number. The following table shows the number forms for the decimal number 36.2418. The figure above do not have a short word form for 48.25. However, we do have a short word form…
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Equivalent decimals
Equivalent decimals are decimals that name the same amount or decimals that have the same value. For example, 0.4 and 0.40 are equivalent decimals. 0.4 is an equivalent decimal to 0.40 even though it does not look like it is. Take a look at the figure below. Four tenths = 0.4 = forty hundredths =…
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Understanding decimals
Understanding decimals starts with a good understanding of decimal place value. Therefore, I recommend that you start by carefully studying decimals place value before studying the other lessons on this page. Once you are done reading this introduction about decimals, you can start studying the other lessons in the order given. What is a decimal?…
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History of fractions
Before studying this lesson about history of fractions, I recommend that you become familiar with Egyptian numeration system. An extensive treatment of fractions appeared around 1600 B.C. in the Rhind Papyrus, which contained the work of Egyptians mathematicians. The Egyptians did not express fractions as ratios such as 2:5 or 2/5. Instead, they expressed ratios in unit…
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Rounding fractions
Rounding fractions with and without a number line is the goal of this math lesson. Example #1 The length of a desk is about 60 5/8 inches. What is the length of the desk to the nearest inch? Solution Look at the fraction part of 60 5/8 and decide if it is closer to 1…
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How to estimate fractions
This lesson will show how to estimate fractions when the operation is addition or subtraction. An estimate is important when we do not need an exact answer, but we want the estimate to be as close as possible to the real answer. The first thing you always need to do before estimating fractions is to…
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Examples of complex fractions
This lesson will provide you with good examples of complex fractions. But what is a complex fraction? Complex fractions are fractions whose numerator, denominator, or both are also fractions. Another way to put it is to say that a complex fraction is a ratio of two fractions. All the fractions above are complex fractions. Complex…
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Dividing fractions
Dividing fractions is not hard. Instead, it is very straightforward once you know how to multiply fractions. It is important to explain some important terms or concepts before showing you how to divide fractions. 2/3 is a simple fraction and in the lesson about fractions, we called 2 the numerator and 3 the denominator. You can also call 2 the…
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Multiplying mixed numbers!
Multiplying mixed numbers is what you will learn here with some easy to follow examples. A mixed number, also called mixed fraction, is any number that has the following format: 9 34The reason it is called mixed is because it is a mixture of a whole number and a proper fraction. In our example, the…