What is the function of the decimal point? They are those powers in their ordinal form. The sequence of names of the decimal units follows the same sequence as the powers of 10. They are the units less than 1 - they are the parts of 1 - named as tenths, hundredths, thousandths, ten-thousandths, and so on. Those Tenths, Hundredths, Thousandths are called the decimal units. If we divide each Hundredth into ten equal parts, then each tiny piece will be a Thousandth part of One. If we divide each Tenth into ten equal parts, then One will be in one hundred equal parts - count them And so we have divided One into Hundredths. And since this is a decimal system, those parts of 1 will have the ordinal names of the powers of 10: tenths, hundredths, thousandths, and so on.įirst, we will divide One into ten equal parts, and so each part is called a Tenth. They are the numbers we create when we divide 1 into equal parts - where 1 is now a continuous unit. Here we will learn about numbers that are less than 1. In the previous Lessons we learned about whole numbers, which are the repeated additions of 1:ġ, 2, 3, 4, and so on. Since our numbering system is based on the powers of 10, it is called a decimal system. Those ordinals are prior to the names of numbers we call fractions, which, we are about to see, are numbers we need for measuring and are the parts of number 1. Those names belong to language itself, not just to mathematics. If we divide a quantity into four equal parts, then we call each part a fourth if into five equal parts, a fifth if into one hundred equal parts, a hundredth but if into two equal parts, we say half.Īnd so with the exception of half, an ordinal number indicates into how many equal parts a quantity has been divided.Ī third, a fourth, a fifth, and so on, are the names of parts.
We use that same ordinal number to name the part. We say that because 15 is the third multiple of 5: 5, 10, 15. If we divide 15, for example, into three equal parts - into three 5's - then we say that 5 is the third part of 15. An ordinal number names which part - the third part, the fourth, the fifth, and so on. We will now see that the ordinal numbers express division into equal parts. What are the names of the ordinal numbers?Īn ordinal number answers the question Which one? What are the names of the cardinal numbers?Ī cardinal number answers the question How many? The counting-numbers have two forms: cardinal and ordinal.
Which decimal unit is at each decimal place?.What is the function of the decimal point?.What are the names of the ordinal numbers?.What are the names of the cardinal numbers?.In this Lesson, we will answer the following:
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