TB4DUnit17_decimals (1)

G4_TB4DUnit17_decimals (1)

By Sze Chan

Multiple Choice

What kinds of numbers are "0" and "1" ?

• "0" and "1" are fractions

• "0" and "1" are decimals

• "0" and "1" are whole numbers

Whole numbers :

​

• "whole" for complete​

Fractions​

• a part of the whole

How can a number which has a value in between 0 and 1 be expressed ?​

We can use "decimals" to express the number in between any two whole numbers.​

On the number line, there are 10 equal division between 0 and 1​:

Multiple Choice

We use "decimals" to represent the numbers between 0 and 1.

What is the range of the value of those decimals?

• smaller than 1 but larger than 0

• smaller than 1 and also smaller than 0

On the number line, there are 10 equal division between 0 and 1​:

On the number line, there are 10 equal division between 0 and 1​:

​Questions:

• How to read this decimals "0.7" ?

• ​0.7 is smaller than ? but larger than ?

• **Can we remove the 0 at the front?​

On the number line, there are 10 equal division between 0 and 1​:

Lesson Objectives:

• F​ind the position of decimals on the number line

• Given a graph, use a decimal and its fraction to represent it

Draw

Write the decimal indicated by the arrow on the number line

Multiple Choice

How to read the decimal "0.4"?

• zero point four

• zero four

• four 

Draw

Write the decimal indicated by the arrow on the number line

Multiple Choice

Express "0.9" in fraction (without changing its value)

• $$\frac{1}{9}$$  

• $$\frac{0}{9}$$  

• $$\frac{9}{10}$$  

The value of this decimal is about / around ...​

How can we find the position of the decimal " 1.5" on the number line?

​On the number line, there are 10 equal division between 1 and 2 :

​

​On the number line, there are 10 equal division between 1 and 2 :

​

​The decimal "1.5" is read as "one point five".

​

It has a value greater than 1 but smaller than 2.

​

It is half way between 1 and 2.​

Multiple Choice

According to the number line, what is the value range of the decimal " 3.4 " ?

• greater than 4

• smaller than 3

• greater than 3 but smaller than 4

Multiple Choice

How to read the decimal "3.4" ?

• three four

• thirty four

• three point four

Decimals are made up of

"whole number part" and "decimal part" too

Just like what we have in mixed numbers of fractions​

Expressing the decimal "3.4" in picture

Decimals and Fractions are interchangeable ! (same value but different ways of expression)

Decimals and Fractions are interchangeable ! (same value but different ways of expression)

Draw

Fill in the blank.

Draw

Use a decimal to express the colored part.

Multiple Choice

How many digits are there AFTER the decimal point?

• only 1

• 2

• 3

They are all decimals with

ONE decimal place

​211.6

43.2​

9.9

3.4

​ 1.8

0.8

0.1​

​

Decimals with 2 decimal places​

Multiple Choice

which numbers do you think is represented by the green dot ?​

• 0

• 0.05

• 0.5

• 1

How to find the position of decimals with 2 decimal places​

on a number line?

Multiple Select

which shows the correct description for the decimal "0.01" ? (you can choose MORE THAN 1 answer)

• 0.01 is greater than 0.1

• 0.01 is smaller than 0.1

• 0.01 is greater than 0

On the number line, there are 10 equal divisions between 0 and 1​:

​

Decimals with 2 decimal places​:

​There are also 10 equal divisions​ in between 0.1 and 0.2

Fill in the decimals between 0.1 and 0.2 !​

Multiple Choice

How to read the decimal "0.16"?

• sixteen

• zero point sixteen

• zero point one six

Multiple Choice

which shows the correct description for the decimal "0.16" ?

• 0.16 is greater than 2

• 0.16 is smaller than 0.1

• 0.16 is greater than 0.1

Decimals with 2 decimal places​:

​There are 10 equal divisions​ in between 3 and 4.

Fill in the decimals between 3 and 4 !​

Multiple Choice

What is the decimal indicated by the ? .

hint: it's a value greater than 3.5 but smaller than 3.6

• 3.7

• 3.17

• 3.57

• 357

Multiple Choice

How to read the decimal "3.57"?

• three five seven

• three point five seven

• three point fifty seven

Decimals and Fractions are interchangeable ! (same value but different ways of expression)

click the link for exploration:​

https://www.geogebra.org/m/NSA9eAVa#material/NnxTD3pe

Decimals and Fractions are interchangeable ! (same value but different ways of expression)

Question:

how many boxes should be coloured to represent " 0.16 "?​

They are all decimals with

? decimal place

​211.6

43.2​

9.9

3.4

​

​

Lesson Objectives:

• F​ind the position of decimals with 3 or 4 decimal places on the number line

• Recognise the place value of a decimal

The orange part indicates a decimal.

What is the range of value of this decimal?​

Multiple Choice

The orange part indicates a decimal.

What is the range of value of this decimal?​

• smaller than 0

• greater than 0.1

• between 0 and 0.1

The orange part indicates a decimal.

It has a value between 0 and 0.1

It is 0.01​

Do you think there are any more decimals "living" between 0 and 0.01 ?​

Decimals "living" between 0 and 0.01 :

Multiple Choice

How to read the decimal "0.001" ?

• one

• zero zero zero one

• zero point zero zero one

Multiple Choice

The decimal "0.001" is a decimal with how many decimal places?

• with 1 decimal place

• with 2 decimal places

• with 3 decimal places

Multiple Choice

which shows the correct description for the decimal "0.001" ?

• 0.001 is smaller than 1

• 0.001 is smaller than 0

• 0.001 is greater than 0.1

Decimals "living" between 0 and 0.001 :

Further dividing​ 0 and 0.001 into 10 equal divisions:

Multiple Choice

The decimal "0.0001" is a decimal with how many decimal places?

• with 1 decimal place

• with 2 decimal places

• with 3 decimal places

• with 4 decimal places

Multiple Choice

which shows the correct description for the decimal "0.0001" ?

• 0.0001 is smaller than 0

• 0.0001 is smaller than 0.001

• 0.0001 is greater than 0.001

The more 0 in between 0. and the last digit 1,

​

the smaller the decimal becomes​.

​Click the link to find out how a decimal is

getting smaller in value:

​

https://www.geogebra.org/m/NSA9eAVa#material/Wn6gYc78

Lesson Objectives:

• F​ind the position of decimals with 3 or 4 decimal places on the number line

• Recognise the place value of a decimal

Multiple Choice

Fill in the blank:

the digit " _ " is in the thousands place,

it stands for " _ "

• 4, 4000

• 7 , 007

Multiple Choice

Fill in the blank:

the digit " _ " is in the thousandths place,

it stands for " _ "

• 4, 4000

• 7, 0.007

Multiple Choice

Fill in the blank:

the digit " _ " is in the hundreds place,

it stands for " _ "

• 0, 0

• 2, 200

Multiple Choice

Fill in the blank:

the digit " _ " is in the hundredths place,

it stands for " _ "

• 0, 0

• 0, 000

• 2, 200

Multiple Choice

Fill in the blank:

the digit " _ " is in the tens place,

it stands for " _ "

• 3, 0.3

• 8, 80

Multiple Choice

Fill in the blank:

the digit " _ " is in the tenths place,

it stands for " _ "

• 3, 30

• 3, 0.3

• 8, 80

Multiple Choice

Fill in the blank:

" _ " is in the units place, it stands for " _ "

• 0 , 0

• 0 , 10