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FOUNDATIONS
Outline Sec. 3-3
Cierech/Dahl
Name:
Date:
Exploring Decimals
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.
1, 2 3 4 . 5 6 7 8
What is this number?
thousand,
thousand,
hundred
hundred
AND
ten thousandths
MORE FRACTIONS
A
is a number written with both a whole number and a fraction.
5.45 
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
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
.
Bar Notation: A bar indicates what number(s) in the decimals will repeat:
0.6666666 =
Rewrite the repeating decimals using bar notation
A.) 56.11111…
B.) -4.356356356…
Examples:
Use division to determine whether each of the following fractions terminate or repeat.
A.)
4
5
B.)
1
3
C.)
5
8
D.)
41
333
Comparing Decimal Numerals:
1.)
each decimal with the
2)
up the decimal points.
3) Write the numerals in
.
4) Change the decimals to the
Order the decimals from least to greatest
A.) 5.32, 5.2, 4.97, 5.037, 5.3
Most number of decimal places?
B.) -7.11, -7.011, -7.105, -7.01, -7.1
Most number of decimal places?
number of decimal places.
form.
Write each decimal as a fraction or mixed number in lowest terms
Fraction
Lowest Terms
a) .23
b) 4.015
c) 45.45
d) 81.225
Order the numbers from least to greatest;
3
5
1
a) 7.3, 7 8 , 7.045, 7 6 , 7 3
Homework :
2
3
1
b.) 0.6,  ,  0.75,  , 
3
8
3
Section 3.3 pages 146-148 #’s 6-47, 54-69