Representation of Terminating Decimals on Number Line
Let us assume that we are looking for 3.735 on the number line. We know that 3.735 is somewhere between 3 and 4. So, let’s have a closer look at the number line between 3 and 4 in detail. Assume that we divided it into ten equal parts and labelled each division point as shown in the figure below. 3.1 is the first mark to the right of 3; the following numbers will be 3.2, 3.3, 3.4, and so on.
Now, let us focus on the space between 3.7 and 3.8. Again, assume that we divided it into ten equal parts and labelled each division point as shown in the figure below. 3.71 will be the first mark to the right of 3.7, and the following numbers will be 3.72, 3.73, 3.74, and so on.
Again, 3.735 must be somewhere between 3.73 and 3.74. Again, assume that we divided it into ten equal parts and labelled each division point as shown in the figure below. 3.731 will be the first mark to the right of 3.73, and the following numbers will be 3.732, 3.733, 3.734, and so on. In this way, we can easily mark any terminating decimal on the number line.
Representation of Terminating Decimals on the Number Line
Terminating and Non-Terminating Decimals
A terminating decimal is a decimal that has an end digit. While non terminating decimal is a decimal that doesn’t have an end term. In mathematics, we have various types of numbers, like natural numbers, whole numbers, integers, rational and irrational numbers, etc. A decimal number is one of them and is used to represent a whole number and a fraction together. In algebra, decimal numbers are a set of numbers that lie between integers on a number line.
A decimal number consists of a whole number part and a fractional part, which are separated by a point called a decimal point. A decimal number is classified into different types depending on the type of digits that come after the decimal point. Terminating decimals and non-terminating decimals are the two types of decimals, where a non-terminating decimal is further classified into non-terminating recurring decimals and non-terminating non-recurring decimals.