Decimals
What is a decimal?
WOO HOO!!
Let’s get started!!
QUANTITY
We understand that decimal is a number and it has a value .
There are infinite number of decimals between whole numbers.
A decimal is a fractional number and is indicated by digits after a period
which is called a decimal point.
Place Values of Decimals
Decimal numbers such as O.6495
have four digits after the decimal point.
Each digit is a different place value.
MODELING DECIMALS
We understand that the whole can be broken up into 10 equal parts and are called tenths.
fraction 110
decimal 0.1
words
one tenth
1 tenths
fraction 210
decimal 0.2
words
two tenths
2 tenths
fraction 310
decimal 0.3
words
three tenths
3 tenths
fraction 410
decimal 0.4
words
four tenths
4 tenths
fraction 510
decimal 0.5
words
five tenths
5 tenths
fraction 610
decimal 0.6
words
six tenths
6 tenths
fraction 710
decimal 0.7
words
seven tenths
7 tenths
fraction 810
decimal 0.8
words
eight tenths
8 tenths
fraction 910
decimal 0.9
words
nine tenths
9 tenths
fraction 10 or 110
decimal words
ten tenths 10 tenths
MODELING DECIMALS
We understand that these tenths can each broken up into 10 equal parts and are called hundredths.
MODELING DECIMALS
We understand that these tenths can each broken up into 10 equal parts and are called hundredths.
10 equal parts
MODELING DECIMALS
We understand that these tenths can each broken up into 10 equal parts and are called hundredths.
20 equal parts
MODELING DECIMALS
We understand that these tenths can each broken up into 10 equal parts and are called hundredths.
30 equal parts
MODELING DECIMALS
We understand that these tenths can each broken up into 10 equal parts and are called hundredths.
40 equal parts
MODELING DECIMALS
We understand that these tenths can each broken up into 10 equal parts and are called hundredths.
50 equal parts
MODELING DECIMALS
We understand that these tenths can each broken up into 10 equal parts and are called hundredths.
60 equal parts
MODELING DECIMALS
We understand that these tenths can each broken up into 10 equal parts and are called hundredths.
70 equal parts
MODELING DECIMALS
We understand that these tenths can each broken up into 10 equal parts and are called hundredths.
80 equal parts
MODELING DECIMALS
We understand that these tenths can each broken up into 10 equal parts and are called hundredths.
90 equal parts
MODELING DECIMALS
We understand that these tenths can each broken up into 10 equal parts and are called hundredths.
100 equal parts
fraction
decimal
words 1 100
0.01
one hundredth
1 hundredth
fraction
decimal
words 2 100
0.02
two hundredths
2 hundredths
fraction
decimal
words 3 100
0.03
three hundredths
3 hundredths
fraction
decimal
words 4 100
0.04
four hundredths
4 hundredths
fraction
decimal
words 5 100
0.05
five hundredths
5 hundredths
fraction
decimal
words 6 100
0.05
five hundredths
5 hundredths
fraction
decimal
words 7 100
0.07 seven hundredths
7 hundredths
fraction
decimal
words 8 100
0.08 eight hundredths
7 hundredths
fraction
decimal
words 9 100
0.09 nine hundredths
7 hundredths
fraction
decimal
words 10 100
0.10 ten hundredths
10 hundredths
TENTHS AND HUNDREDTHS
Smaller?!?Bigger?!?
59 100
fifty nine hundredths
0.59 =
97 100
ninety seven hundredths
0.97 =
63 100
sixty three hundredths
0.63 =
45 100
forty five hundredths
0.45 =
74 100
seventy four hundredths
0.74 =
12 100
twelve hundredths
0.12 =
COMPARING DECIMALS
0.20 = 20 100
twenty hundredths
0.2 = 2 10
two tenths
EQUAL or the SAME
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.
Let’s practice!
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.
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.
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".
Ten-Thousandths
•Ten thousandths have four digits after the decimal point.
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".