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Learn how to compute fractions and decimals using models
Tags:how to compute fractions using models,Fractions and Decimals Using Models,how to compute decimals,how to compute fractions,tenmarks
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Transcript
Fractions and Decimals Using Models So in this problem, it tells us to write a fraction and a decimal for the following figures. So, let’s take a look at our first Figure A. This figure has 10 equal parts, we have 10 of them. Out of which three of the parts are shaded so we can write a fraction for the given numbers. We take the number of shaded parts over the total number of parts. So, this fraction would be our number of shaded is three so we take three over our total number of parts which is 10, so it would be 3/10. So, we have the three is the number shaded and then the tenths is our out of our total, our total number. So, 3/10 can be read as three tenths. Now, decimals are another way to write fractions, so now let us write 3/10 as a decimal, so decimals are numbers that uses place value and decimal point to show part of a whole. So, decimals that have one digit after the decimal point are test, so if we have our ones and then our decimal point and we go one digit after the decimal point are our tenths. So for example, 0.1 is another way to write the fraction. O.1 is another way of writing 1/10. So, if we have 3/10 which represents 3/10 since the tenths have one digit after the decimal point, 3/10 can be written as 0.3. So, it’s useless showing our place value chart. So 3/10, we have zero ones, our decimal point and then we have three tenths so we have three in tenths place. So, 3/10 can be written 3/10 or 0.3 parts of the figure are shaded. Let’s take a look at our second figure. So, this figure has 100 equal parts so our total is 100 and out of which we have 30 parts shaded. So, remember we can write our fraction as the number of shaded over your total number of parts. So, since we have 13 parts shaded and then we have a total of 100 parts in all. So, this is our total and this is our shaded. So, we have 30/100. So, 30/100 can be read as 30 hundredths. Now, let us now write 30 hundredths, 30/100 or 30 hundredths as a decimal. Now, decimals that have two digits after the decimal point are hundredths. So for example, if I have 0.01 it is another way to write the fraction one hundredth. So, hundredths is two points after the decimal point, so find my ones place then I put my decimal point, you have your tenths and then you have your hundredths. So, if we want to represent 30/100 or 30 hundredths as a decimal, since the hundredths have two digits after the decimal point, 30 hundredths will be written as 3, 0. So, we have zero ones and we have 30 hundredths. So, 30/100 or can be also written as 0.30 so 30 of our hundred or 30 hundredths represents this figure. So, the figure is represented by 30/100 or 30 hundredths. Things to keep in mind, that decimals that have one digit after the decimal point are tenths. So for example, 0.3 is another way to write the fraction 3/10 or 3 tenths. Decimals that have two digits after the decimal point are hundredths. For example, 0.30 is another way to write the fraction 30/100 or 30 hundredths. Decimal points that have three digits after the decimal point, okay, so we can do this when you have decimals that have three digits after the decimal point are called thousandths so we call them thousandths. So for example, if we have the number 01123, is another way to write the fraction 123 thousandths. Fractions that named the same number are called Equivalent Fractions. So for example, 60/100 is the same as saying six tenths. So, decimals that name the same number are called equivalent decimals. So, if we said six hundredths would be the same as saying 0.6.
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