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.

1 10 words fraction one tenth decimal 0.1 1 tenths

2 10 words fraction two tenths decimal 0.2 2 tenths

3 10 words fraction three tenths decimal 0.3 3 tenths

4 10 words fraction four tenths decimal 0.4 4 tenths

5 10 words fraction five tenths decimal 0.5 5 tenths

6 10 words fraction six tenths decimal 0.6 6 tenths

7 10 words fraction seven tenths decimal 0.7 7 tenths

8 10 words fraction eight tenths decimal 0.8 8 tenths

9 10 words fraction nine tenths decimal 0.9 9 tenths

10 or 1 10 fraction 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

1 100 words fraction one hundredth decimal 0.01 1 hundredth

2 100 words fraction two hundredths decimal 0.02 2 hundredths

3 100 words fraction three hundredths decimal 0.03 3 hundredths

4 100 words fraction four hundredths decimal 0.04 4 hundredths

5 100 words fraction five hundredths decimal 0.05 5 hundredths

6 100 words fraction five hundredths decimal 0.05 5 hundredths

7 100 words fraction seven hundredths decimal 0.07 7 hundredths

8 100 words fraction eight hundredths decimal 0.08 7 hundredths

9 100 words fraction nine hundredths decimal 0.09 7 hundredths

10 100 words fraction ten hundredths decimal 0.10 10 hundredths

TENTHS AND HUNDREDTHS Smaller?!? Bigger?!?

59 100 0.59 = fifty nine hundredths

97 100 0.97 = ninety seven hundredths

63 100 0.63 = sixty three hundredths

45 100 0.45 = forty five hundredths

74 100 0.74 = seventy four hundredths

12 100 0.12 = twelve hundredths

COMPARING DECIMALS

20 0.20 = 100 2 0.2 = 10 EQUAL or the SAME twenty hundredths two tenths

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".