Decimal the decimals 1. Say the first part (left

Decimal

“A decimal point
separates the whole number from the places that are less than one.

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·       
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.”

 

·       
If,
the whole illustration below equals one. How much do the shaded sections equal?

1.

 

2.

 

3.

 

 

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 –

 

 

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 SOL 4.4 b

 

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 SOL 4.4 c

 

> – greater than

 

·       
1.038 ___ .0038

·       
3.248 ___ 3.258

·       
7.2 ___ 7.9

·       
5.24 ___ 5.34

·       
6.07 ___ 6.7