1. Today we will be learning about Place value to 3 Decimal places.
Good Afternoon!
Today we will be learning about Place value to 3 Decimal places.
Let’s warm up :
Write the place value of the underlined digit: 567,032.
Given this number 9,360,582,174 which digit is in the
ten thousands place?
tens place?
c) billions place?
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2. Let’s first review what we learnt about place value of Whole Numbers before proceeding further.
* PLACE VALUE helps you better understand the WHOLE NUMBERS (0,1,2,3,4,5,6,7,8,9,.....)
*To determine the VALUE of each DIGIT in the number, we need to look at its PLACE in the number.
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3. For example, let's look at the number 423.
Hundreds
Place
Tens
Place
Ones
Place 4 2 3
The value of the 4 is 4 hundreds or 400
The value of the 2 is 2 tens or 20
The value of the 3 is 3 ones or 3
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4. Notice the commas separating every 3 digits.
Here is the Place-Value Chart to the BILLIONS place.
Hundred
Millions
Millions
Ten
Hundred
Thousands
Billions
Thousands
Ten
Thousands
Ones
Millions
Hundreds
Tens , , ,
Notice the commas separating every 3 digits.
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5. Let’s get started with the Decimal numbers.
DECIMAL: A number that uses place value and a decimal point to show tenths, hundredths and the thousandths.
0.1 is a decimal number for one tenth.
0.12 is a decimal number for twelve hundredths.
0.125 is a decimal number for one hundred twenty-five thousandths.
DECIMAL POINT: A period separating the ones and the tenths in the decimal is the Decimal Point.
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6. The decimal 0.4 could be pronounced as FOUR TENTHS or as ZERO POINT FOUR .
There are other decimals such as hundredths or thousandths. They all are based on the number ten just like our number system.
A decimal may be greater than one. The decimal 3.4 would be pronounced as THREE AND FOUR TENTHS.
The decimal could be pronounced as
ELEVEN AND SIXTY-FOUR HUNDREDTHS or
as TWELVE POINT SIXTY-FOUR .
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7. If a decimal is less than 1, place a zero before the decimal point
If a decimal is less than 1, place a zero before the decimal point. Write 0.7 not .7
Tenths have one digit after the decimal point. The decimal 0.8 is pronounced “Eight tenths" or "zero point eight".
Hundredths have two digits after the decimal point. The decimal 0.36 is pronounced “Thirty-six hundredths" or "zero point thirty-six".
Thousandths follow a similar pattern. They have three digits after the decimal point. The decimal is pronounced “Seven hundred forty-nine thousandths" or "zero point seven four nine".
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8. The third digit is the thousandths place which is Five thousandths.
Decimal numbers, such as O.3657, have four digits after the decimal point.  Each digit is a different place value.  
The first digit after the decimal point is called the tenths place value. There are Three tenths in the number O
The second digit tells you how many hundredths there are in the number.  The number O has Six hundredths. 
The third digit is the thousandths place which is Five thousandths. 
The fourth digit is the ten thousandths place which is Seven ten thousandths in this example. 
Therefore, there are Three tenths, Six hundredths, Five thousandths, and Seven ten thousandths in the number
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9. We can represent a decimal number with the help of models.
Represent 2.4 with the help of model.
We are given “Two and Four Tenths’ to represent with the help of models.
The shaded portion with blue shows Two and Four Tenths.
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10. We can represent a decimal number on the number line.
Represent 3.7 and 4.2 on the number line.
3.7 .5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
5.0
4.2
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11. . We know that the Place Value is the
value given to a digit by its place in a number.
Here is the place value chart for decimal numbers. .
ONES
TENTHS
HUNDREDTHS
THOUSANDTHS
A decimal number is named by reading the number and place value of the last digit at the right.
Decimal
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12. . Write the word name for “ 0.4 “ with the help of place- value chart.
ONES
TENTHS 4
We know that a decimal number is named by reading the number and place value of the last digit at the right. .
So the word form of 0.4 is: Four Tenths.
This can also be shown with the help of models.
The portion shaded with green represents the valve 0.4
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13. . Write the word name for the decimal “ 0.57 “
ONES
TENTHS
HUNDREDTHS 5 7
We will name the decimal number by reading the number and place value of the last digit at the right.
So, the word form of 0.57 is: Fifty Seven Hundredths.
This can also be shown with the help of models.
The portion shaded with green represents the valve 0.57
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14. . Write the word name for the decimal “ 0.327 “
Here is the place value chart for decimal numbers. .
ONES
TENTHS
HUNDREDTHS
THOUSANDTHS 3 2 7
The word form of is: Three hundred twenty seven thousandths.
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15. Decimals greater than 1
Write the word name for the decimal number“ 5.68 “
Here is the place value chart. .
ONES
TENTHS
HUNDREDTHS 5 6 8
The word form of 5.68 is: Five and sixty eight hundredths.
This can also be shown with the help of models.
The portion shaded with green represents the valve 5.68
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16. How is 7 in 0.7 different from 7 in 0.07?
Analyze:
How is 7 in 0.7 different from 7 in 0.07?
7 in 0.7 is at the tenths place and at the hundredths place in 0.07.
Write the word name for “ 0.9 “ with the help of place- value chart.
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17. This model shows the value 0.4 This model shows the value 0.40
EQUIVALENT DECIMALS: Decimals that name the same numbers and show the same value are Equivalent decimals.
0.4 and 0.40 are Equivalent decimals.
This model shows the value 0.4
This model shows the value 0.40
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18. BREAK
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19. Click on the link below for some exciting puzzle
GAME
Click on the link below for some exciting puzzle
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20. Assessment
Write the word name for the following with the help of place- value chart.
1) 0.6
2) 6.83
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21. Represent the following on the on the number line.
3) 1.6
4) 2.8
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22. Given this number 0.9875 which digit is in the
5) tenths place?
6) hundredths place?
7) Thousandths place?
8) Ten thousandths place?
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23. What is the standard form of:
9) Twenty-nine hundredths
10) Two hundred forty-five thousandths
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24. Very Good!
Let's Review
DECIMAL: A number that uses place value and a decimal point to show tenths, hundredths and the thousandths.
DECIMAL POINT: A period separating the ones and the tenths in the decimal is the Decimal Point.
If a decimal is less than 1, place a zero before the decimal point. Write 0.7 not .7
Tenths have one digit after the decimal point. The decimal 0.8 is pronounced “Eight tenths" or "zero point eight".
Hundredths have two digits after the decimal point. The decimal 0.36 is pronounced “Thirty-six hundredths" or "zero point thirty-six".
Thousandths follow a similar pattern. They have three digits after the decimal point. The decimal is pronounced “Seven hundred forty-nine thousandths" or "zero point seven four nine".
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25. The third digit is the thousandths place which is Five thousandths.
Decimal numbers, such as O.3657, have four digits after the decimal point.  Each digit is a different place value.  
The first digit after the decimal point is called the tenths place value. There are Three tenths in the number O
The second digit tells you how many hundredths there are in the number.  The number O has Six hundredths. 
The third digit is the thousandths place which is Five thousandths. 
The fourth digit is the ten thousandths place which is Seven ten thousandths in this example. 
Therefore, there are Three tenths, Six hundredths, Five thousandths, and Seven ten thousandths in the number
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26. This model shows the value 0.4 This model shows the value 0.40
EQUIVALENT DECIMALS: Decimals that name the same numbers and show the same value are Equivalent decimals.
0.4 and 0.40 are Equivalent decimals.
This model shows the value 0.4
This model shows the value 0.40
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27. See you in the next session.
You have done a nice job.
See you in the next session.
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