Lesson 5- Expanding Decimals

Objective

At the end of this lesson, students should be able to expand decimals into simpler fractions.

Decimals are made up of simpler fractions that add up to form the decimal. They can therefore be expanded by breaking them down into smaller fractions.

Example 1

Expand the decimal 0.287.

Solution

This decimal has 0 whole number, 2 tenths, 8 hundredths and 7 thousandths. When we add up these smaller fractions together, they make  which is equivalent to the decimal 0.287.

Example 2

Expand 1.92 and write the resultant fraction.

Solution

Example 3

Write the decimal 358.76 as a sum of its simpler fractions.