Decimals

Unit 4: Decimals

CHECK OUR UNDERSTANDING

We have learnt:
1. Place values
2. Reading a scale

We are learning to (part 1):

1. Compare (<, >, =) and order decimals (in ascending and descending order)

2. Convert decimals to fractions (vice versa)

Multiple Choice

10 _____ 4

• <

• >

• =

Multiple Choice

1.32 _____ 1.320

• <

• >

• =

Comparing decimals can be tricky!

Compare 1.32 and 1.302

We cannot say that 1.302 is bigger because it has more digits.

1. Decimal point in the same place.
2. Compare from left to right.

Draw

Arrange these decimals in ascending order:

0.108, 1.08, 0.801

Poll

Which one of the following do you think is the answer when I convert 1.08 to fractions?

Recall that decimal is a base 10 system!
Hence when we convert decimal to a fraction, we write the denominator as a multiple of 10, 100, 1000 etc, corresponding to the number of decimal places.

​

Converting

1.08 =

0.06 =

Draw

Think-Pair-Share

Convert fractions to decimals

(Show your working!)

Multiple Choice

Which set is in descending order?

• 3.4, 3.04, 2.49, 1.04, 1.008

• 1.04, 2.49, 3.04, 3.4, 1.008

• 1.04, 2.49, 1.008, 3.4, 3.004

• 1.008, 1.04, 2.49, 3.04, 3.4

Multiple Choice

Convert to a decimal.
$$\frac{7}{1000}$$

• 7

• 0.7

• 0.07

• 0.007

Multiple Choice

2 tenths _____ 0.194

• <

• >

• =

Multiple Choice

$$\frac{29}{100}$$ _____ 0.4

• <

• >

• =

We are learning to (part 2):

1. Addition (sum) and Subtraction (difference)

We are learning to (part 3):

1. Multiply (product) decimals

Whole number

What do you notice?

Decimals

Whole number

What do you notice?

Decimals

• ​Don't line the decimal points

• Add the number of decimal place (after doing multiplication)

​​Compare and Order

​​Convert

​​Addition & Subtraction

​​Multiply

<, >, =
Ascending & descending
LEFT TO RIGHT

​​Compare and Order

Denominator of fraction is 10, 100, 1000, etc.
No. of decimal places.

​​Convert

Line the decimals.

​​Addition & Subtraction

DO NOT line the decimals.
Add the number of decimal places.

​​Multiply

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