DECIMAL PLACE VALUE

1
DECIMAL PLACE VALUE

• Unit 1 Lesson 3

2
Place Value Chart

• A place value chart is divided into periods
  billions, millions, thousands, and ones.
• Each period is divided into 3 columns hundreds,
  tens, and ones.
• A decimal separates the whole numbers from the
  decimal numbers.
• Example

Billions Millions Thousands Ones Tenths Hundredths Thousandths Ten Thousandths
H T O H T O H T O H T O


3
Identifying the Decimal Place of Digits

• 1. Use the place value chart to fill in the
  number (Remember Only place 1 number in each
  column.)
• Identify the column the digit is in.
• Examples
• What place is the 6 in the number 23.643?
• What place is the 5 in the number 0.985?

Billions Millions Thousands Ones Tenths Hundredths Thousandths Ten Thousandths
H T O H T O H T O H T O


4
Identifying the Decimal Place of Digits

• Trick
• Place a 1 under the decimal
• Place 0s under each of the following numbers.
• Add ths to the number to get the place
• Example
• What place is the 3 in the number 56.7893?
• 10000
• The 3 is in the ten thousandths place!

5
Identifying the Decimal Place of Digits

• Examples
• What place is the 4 in the number 12.456?
• What place is the 2 in the number 156.8278?
• What place is the 7 in the number 57.894?
• What place is the 8 in the number 615.6583?
• What place is the 1 in the number 513.987?
• What place is the 5 in the number 1.6785?

6

• Answers
• What place is the 4 in the number 12.456?
• Tenths
• What place is the 2 in the number 156.8278?
  Hundredths
• What place is the 7 in the number 57.894?
• Ones
• What place is the 8 in the number 615.6583?
• Thousandths
• What place is the 1 in the number 513.987?
• Tens
• What place is the 5 in the number 1.6785?
• Ten Thousandths

7
Identifying the Value of Decimals

• Write the number that is underlined.
• Fill all spaces to the LEFT of the digit with
  zeros. (Dont forget the decimal!)
• Omit all numbers to the RIGHT.

8
Identifying the Value of Decimals

• Examples
• What is the value of the underlined digit?
• 23.643
• 0.985
• 12.548
• 70.1256
• 96.3547

9
Identifying the Value of Decimals

• Answers
• What is the value of the underlined digit?
• 23.643 0.6
• 0.985 0.005
• 12.548 0.5
• 70.1256 0.0006
• 96.3547 0.05

10
Reading Decimals

• The decimal represents the word AND
• When reading decimals, read the number and the
  column of the last digit
• HINT Cover up the decimal and read the number
  in front. Then read AND and the number behind
  the decimal and the place of the last digit.
• Example 0.043 read as forty three thousandths
• Example 0.65 read as sixty five hundredths
• Example 6.7 read as six and seven tenths

11
Reading Decimals

• Example 22.789
• Twenty two and seven hundred eighty nine
  thousandths
• Example 17.54
• Seventeen and fifty four hundredths
• Example 1,456.009
• One thousand four hundred fifty six and nine
  thousandths
• Example 245.87
• Two hundred forty five and eighty seven
  hundredths
• Example 17.9
• Seventeen and nine tenths

12
Writing Decimals

• When writing decimals in standard form, the last
  number must be in the place value stated.
• It may be necessary to add zeros in all other
  columns in order to hold the place of the digit.
• HINT Cover up and and all words behind it.
  Write the number in front. Then identify the
  place that the last digit should be in and write
  the last number. Fill in all other numbers and
  add zeros if needed.

13
Writing Decimals

• Examples
• Fourteen and three tenths
• 14.3
• Four and seven hundredths
• 4.07
• Ninety-three thousandths
• 0.093

14
Writing Decimals

• Two thousand six and four thousandths
• 2,006.004
• Five hundred eight one and six ten-thousandths
• 581.0006
• Twelve thousand four and twenty one hundredths
• 12,004.21

15
Equivalent Decimals

• Equivalent means equal
• Steps to writing equivalent decimals
• Write the number exactly.
• Add one or more zeros to the END of the number
  (Adding zeros to the end of a decimal number does
  not change the value of the number)

16
Equivalent Decimals

• Examples
• 0.765
• 12.43
• 7.869
• 1,456.009