Decimals are numbers with one or more digits after the decimal point, such as 3.25. Decimals can represent fractions, like 0.75 which equals 3/4. To compare decimals, look at the numbers to the right of the decimal point.
Introducing Decimals
Place Value: The position of a digit in a number determines its value. For example, in the number 456.8, the 8 is in the tenths place, so it is worth 0.8. Rounding: The process of replacing a number with an approximate value that is easier to use. For example, the number 5.876 can be rounded to 5.9. Equivalent Forms: The same value expressed in different forms. For example, 0.75 can be written as the fraction 3/4 or the decimal 75/100.
Concepts:
What are some real world examples of decimals?
How can decimals be used to represent fractions?
How can understanding decimals help you in everyday life?
What strategies can you use to help you understand decimals better?
Brain break: Draw a goofy penguin balancing an ice cream cone on its head
Which of the following is a decimal number?
What does the decimal point represent in a decimal number?
- Separates the whole number from its fractional part
- Indicates multiplication
- Indicates addition
How would you read the decimal number 0.75?
- Seven fifths
- Seven and five tenths
- Seventy-five hundredths
What is the place value of 4 in the decimal number 3.426?
- Hundredths
- Thousandths
- Tenths
Which fraction is equivalent to the decimal number 0.2?
Work together in pairs: Q: How can you use decimal notation to represent fractions?