Decimal Place Value

Decimal Place Value

Base 10

Our number system is a Base 10 number system. 

There are 10 different digits.

Each place in a number is worth 10 times more the place to the right.

Multiple Choice

Which number is our system based on?

• 1

• 12

• 10

• 2

The Decimal Point

ONE is the smallest whole number.

A decimal point is a small dot that always goes AFTER the ones place.

Numbers that come AFTER the decimal are smaller than one. 

They are fractions, or small parts of the number 1.

A decimal number can also be written as a fraction.

Multiple Select

Which numbers are less than 1?

• 1.2

• 0.7

• 0.093

• 2.2

Tenths

The first place after the decimal is the 10ths. 

0.1 is said as one tenth (1/10)

They are called 10ths because you need 10 of them to make ONE.

10/10 = 1                  0.1 x 10 = 1

Multiple Choice

273.41

What digit is in the 10ths place?

• 2

• 1

• 7

• 4

Hundreths

The next place is the 100ths place

0.01 is read as one hundreth (1/100)

100ths are smaller than 10ths, you need 100 of them to make 1. 

100/100 = 1.            0.01 x 100 = 1

Multiple Choice

Which number is biggest

• 0.09

• 0.4

• 0.1

Thousandths

1000ths are smaller than 100ths or 10ths. 

0.001 is read as one thousanth (1/1000)

You need 1000 of them to make 1 

0.001 x 1000 = 1

Open Ended

Write any number with an 8 in the thousandths (1000ths) place.

Multiple Choice

Decimal numbers can also be written as fractions. For example 0.8 can also be written as 8/10.

• True

• False

Multiple Choice

Which number is biggest?

• 9.29

• 8.95

• 9.82

Multiple Choice

Which number has a 7 in the 100ths (Hundreths) place?

• 700.01

• 6.273

• 4.72

• 88.457