Decimal Notes Math Notes
for 5th Grade
Reading Decimals
·
“A
decimal point separates the whole number from the places that are less than
one.
·
Place
values extend infinitely in two directions from a decimal point.
·
A
number containing a decimal point is called a decimal number or simply
a decimal.”
|
Hundreds
|
Tens
|
Ones
|
Decimal Point
|
Tenths
|
Hundredths
|
Thousandths
|
|
8
|
4
|
1
|
.
|
5
|
6
|
2
|
Reading a number into the decimals
1. Say the first part (left of the
decimal) of the number like normal. (if
there is one)
2. Say “and” where the decimal is.
3. Say the second part of the number
like normal but end with the last/smallest place value
Example: eight hundred forty one AND five
hundred sixty two thousandths
Practice:
1. 485.856 -
2. 1835.21 –
3. 881.584 –
4. 684.9 –
5. 38.358 –
Decimal Notes Math
Writing Decimals
Writing
Decimals can be written in standard, written, or expanded forms.
Standard -
# form
·
0.2
·
0.85
·
2.376
·
315.007
Written =
word form
·
Two
tenths
·
Eighty-five
hundredths
·
Two
and three hundred seventy-six
thousandths
·
Three
hundred fifteen and seven
thousandths
Expanded =
equation form broken up by place values.
·
(0
x 1) + (2 X .1)
·
(0
x 1) + (8 x .1) + (5 x .01)
·
(2
x 1) + (3 x .1) + (7 x .01) + (6 x .001)
·
(3
x 100) + (1x 10) + (5 x 1) + (0 x .1) + (0 x .01) + (7 x .001)
Rounding Decimals Math
Rounding
decimals is the same as rounding any other whole number.
1. Look to where you are being asked to
round.
2. Then look to the number on the
right.
a. 5 or higher round up
b. 4 or less leave it alone & drop
all the digits to the right of the rounded place value
3. Say your number stopping at the
rounded place value.
Example/Practice:
1. Round 0.876 to the nearest hundredths = .88
2.
Round 1.23 to the nearest tenths =
3.
Round 32.056 to the nearest hundredths =
4.
Round 157.098 to the nearest tenths =
5.
Round 5.752 to the nearest hundredths =
Comparing Decimals
Notes Math
> - greater than
<
- less than
= -
equal to
Comparing decimals is similar to
comparing whole numbers.
Look at the highest place value
available and figure out which number is larger.
Examples:
·
0.86 ___ .65
greater than or >
·
1.038 ___ .0038
·
3.248 ___ 3.258
·
7.2 ___ 7.9
·
5.24 ___ 5.34
·
6.07 ___ 6.7
