Lesson Objectives
- Identify the place value of digits in decimal numbers.
- Read and write decimals in standard and word form.
- Compare decimal numbers using place value.
- Understand tenths, hundredths, and thousandths.
Introduction
Decimals are numbers that represent parts of a whole. Each digit in a decimal number has a specific place value, just like whole numbers, but the value decreases by a factor of ten as you move right of the decimal point.
Examples
- 0.5 = 5 tenths
- 0.75 = 7 tenths + 5 hundredths
- 0.326 = 3 tenths + 2 hundredths + 6 thousandths
Practice Problems
- Write 0.48 in words.
- What is the value of the digit 6 in 0.736?
- Compare 0.5 and 0.45 using >, <, or =.
- Write 7 thousandths in decimal form.
Summary
Understanding decimal place value is crucial for reading, writing, comparing, and performing operations with decimals. Remember that each place to the right of the decimal point is ten times smaller than the previous place.