1. Notes 3.3 – Exploring Decimals

2. PLACE VALUE
The value of a digit in a decimal is determined by its ___________ or place.
For example, given the decimal 0.35, the 3 is in the _________ place and the 5 is in the ________________ place.
POSITION
TENTHS
HUNDREDTHS

3. TENS
(10)
THOUSANDTHS
(0.001)
TENTHS
(0.1)
HUNDREDS
(100)
ONES
(1)
HUNDREDTHS
(0.01)
TEN-THOUSANDTHS
(0.0001)
THOUSANDS
(1,000)
What is this number?
_____ thousand, _____ hundred ______________ AND ____ thousand, _____ hundred ________________ ten thousandths
ONE
TWO
THIRTY-FOUR
FIVE
SIX
SEVENTY-EIGHT

4. More Fractions
A ________________ is a number written with both a whole number and a fraction.  
Useful Information:
To enter mixed numbers on a calculator:
Type in the whole number + ( fraction )
3 ½ would be entered as 3 + (1/2)
MIXED NUMBER

5. Write the following numbers as a decimal and a mixed number with the fraction in lowest terms.
Decimal Mixed Number 
a) one thousand and one
hundred-thousandth
b) twenty-two and two
thousand five hundred
ten-thousandths

6. TERMINATING AND REPEATING DECIMALS
A decimal is called a terminating decimal if the decimal number terminates, or _______.
A decimal is called a repeating decimal if the decimal number does not terminate. It repeats a ___________.
ENDS
PATTERNS

7. Bar Notation: A bar indicates what number(s) in the decimals will repeat:
Rewrite the repeating decimals using bar notation
A.) … B.) …

8. Examples:
Use division to determine whether each of the following fractions terminate or repeat.
A.) B.)
C.) D.)

9. Comparing Decimal Numerals
1.) __________ each decimal with the _______ number of decimal places
2) _______ up the decimal points
3) Write the numerals in ________.
4) Change the decimals to the ___________ form.
REWRITE
SAME
LINE
ORDER
ORIGINAL

10. Order the decimals from least to greatest
Most number of decimal places?
B.) -7.11, , , -7.01, -7.1
______________________
______________________

11. Write each decimal as a fraction or mixed number in lowest terms
Fraction Lowest Terms
a) .23 b) c) d)

12. Order the numbers from least to greatest;
a) b).

13. Homework: p. 146 #6-35, 36-47, 54-69