Lesson 5: Decimals

LESSON 5 DECIMALS

In algebra, a decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point. ... Thus, as we move from left to right, the place value of digits gets divided by 10, meaning the decimal place value determines the tenths, hundredths and thousandths.

An example of a decimal number 17.48, in which 17 is the whole number, while 48 is the decimal part. 

Decimals are based on the preceding powers of 10. Thus, as we move from left to right, the place value of digits gets divided by 10, meaning the decimal place value determines the tenths, hundredths and thousandths. A tenth means one tenth or 1/10. In decimal form, it is 0.1. Hundredth means 1/100. In decimal form, it is 0.01. 

Here’s an example of how the fractional part can be converted into decimals.

Decimals can be written both in expanded form and in words. 

Tenths, hundredths, and thousandths can be represented on a number line. To represent tenths, the distance between each whole number on a number line is partitioned into 10 equal parts where each part represents a tenth.