A decimal is a fractional number indicated by digits after a decimal point. The place value of each digit depends on its position relative to the decimal point, with the first digit being tenths, the second hundredths, third thousandths and so on. For the number 0.6495, there are six tenths, four hundredths, nine thousandths and five ten-thousandths. Decimals can be read out in words or as fractions, and are used in many math operations and real-world applications.

1. Dizzying Decimals

2. What is a decimal?

3. A decimal is a fractional number and is indicated by digits after a period which is called a decimal point.

4. Place Values of Decimals Decimal numbers, such as O.6495, have four digits after the decimal point. Each digit is a different place value.

5. Okay … The first digit after the decimal point is called the tenths place value. There are six tenths in the number O.6495. The second digit tells you how many hundredths there are in the number. The number O.6495 has four hundredths. The third digit is the thousandths place. The fourth digit is the ten thousandths place which is five. Therefore, there are six tenths, four hundredths, nine thousandths, and five ten thousandths in the number 0.6495.

6. Tenths Tenths have one digit after the decimal point The decimal 0.8 is pronounced "eight tenths" or "zero point eight" It is equal to the fraction 8/10.

7. Hundredths Hundredths have two digits after the decimal point. The decimal 0.36 is pronounced "thirty-six hundredths" or "zero point thirty-six" . It is equal to the fraction 36/100.

8. Thousandths Thousandths follow a similar pattern. They have three digits after the decimal point. The decimal 0.749 is pronounced "seven hundred forty-nine thousandths" or "zero point seven four nine" .

9. Ten-Thousandths Ten thousandths have four digits after the decimal point .

10. Zeros in the Decimal There may be zeros after the decimal point. The decimal 0.064 is pronounced "sixty-four thousandths" or "zero point zero six four" .

11. So we’ve looked at: .0025 Twenty-five ten- thousandths Standard Form Word Form

12. What all will we do with decimals?

13. LOTS!! Read Write Compare Order Round Add Subtract Multiply Divide Word Problems Change into fractions Change into percents Use with money problems.

14. WOO HOO!! Let’s get started!!