CONFIDENTIAL 1

Good Afternoon!

Today we will be learning about Place value to 3 Decimal

places.Let’s warm up :

1) Write the place value of the underlined digit: 567,032.

2) Given this number 9,360,582,174 which digit is in the

a) ten thousands place?

b) tens place?

c) billions place?

CONFIDENTIAL 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.

CONFIDENTIAL 3

For example, let's look at the number 423.

4 2 3

OnesPlace

TensPlace

Hundreds Place

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

CONFIDENTIAL 4

Here is the Place-Value Chart to the BILLIONS place.

Billion

s

, ,,

On

es

Ten

s

Hu

nd

red

sTh

ou

san

dsTen

Th

ou

san

dsHu

nd

red

Th

ou

san

ds

Million

s

Ten

Millio

ns

Hu

nd

red

Million

s

Notice the commas separating every 3 digits.

CONFIDENTIAL 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.

0.12 is a decimal number for twelve hundredths.

0.125 is a decimal number for one hundred twenty-five thousandths.

0.1 is a decimal number for one tenth.

DECIMAL POINT: A period separating the ones and the tenths in the decimal is the Decimal Point.

CONFIDENTIAL 6

There are other decimals such as hundredths or thousandths. They all are based on the number ten just like our number

system.

The decimal 0.4 could be pronounced as FOUR TENTHS or as ZERO POINT FOUR .

A decimal may be greater than one. The decimal 3.4 would be pronounced as THREE AND FOUR TENTHS.

The decimal 11.64 could be pronounced as ELEVEN AND SIXTY-FOUR HUNDREDTHS or

as TWELVE POINT SIXTY-FOUR .

CONFIDENTIAL 7

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 0.749 is pronounced

“Seven hundred forty-nine thousandths" or "zero point seven four nine".

CONFIDENTIAL 8

Therefore, there are Three tenths, Six hundredths, Five thousandths, and Seven ten thousandths in the number 0.

3657.

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. 3657.

The second digit tells you how many hundredths there are in the number.  The number O. 3657 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. 

CONFIDENTIAL 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.

CONFIDENTIAL 10

We can represent a decimal number on the number line.

0 .5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0

Represent 3.7 and 4.2 on the number line.

3.7

4.2

CONFIDENTIAL 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

.

DecimalA decimal number is named by reading the number and

place value of the last digit at the right.

CONFIDENTIAL 12

Write the word name for “ 0.4 “ with the help of place- value chart.

ONES TENTHS

0 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

CONFIDENTIAL 13

Write the word name for the decimal “ 0.57 “

ONES TENTHS HUNDREDTHS

0 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

CONFIDENTIAL 14

Write the word name for the decimal “ 0.327 “

Here is the place value chart for decimal numbers.

ONES TENTHS HUNDREDTHS THOUSANDTHS

0 3 2 7.The word form of 0.327 is: Three hundred twenty seven thousandths.

CONFIDENTIAL 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

CONFIDENTIAL 16

How is 7 in 0.7 different from 7 in 0.07?

Analyze:

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.

CONFIDENTIAL 17

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

CONFIDENTIAL 18

BREAK

CONFIDENTIAL 19

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CONFIDENTIAL 20

Assessment

Write the word name for the following with the help of place- value chart.

1) 0.6 2) 6.83

CONFIDENTIAL 21

3) 1.6

Represent the following on the on the number line.

4) 2.8

CONFIDENTIAL 22

Given this number 0.9875 which digit is in the

5) tenths place?

6) hundredths place?

7) Thousandths place?

8) Ten thousandths place?

CONFIDENTIAL 23

What is the standard form of:

9) Twenty-nine hundredths

10) Two hundred forty-five thousandths

CONFIDENTIAL 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 0.749 is pronounced “Seven hundred forty-nine thousandths" or "zero point seven

four nine".

CONFIDENTIAL 25

Therefore, there are Three tenths, Six hundredths, Five thousandths, and Seven ten thousandths in the number 0.

3657.

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. 3657.

The second digit tells you how many hundredths there are in the number.  The number O. 3657 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. 

CONFIDENTIAL 26

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

CONFIDENTIAL 27

You have done a nice job.See you in the next session.