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".