Place value of decimal numbers

Let`s use decimal notation for tenths and hundredths and understand what each digit represents

Multiple Choice

What is the name of the place of the underlined digit in the decimal 5.2 ?

• ones

• tenths

Multiple Choice

What is the name of the place of the underlined digit in the decimal 0.5 ?

• ones

• tenths

Hundredths: The parts when one whole is split into a hundred.

​ A decimal number has three parts.

​

The whole part, decimal point, and the decimal part.

​

The decimal point stands between the whole part and the decimal part.

Multiple Choice

What is the name of the place of the underlined digit in the decimal 12.75 ?

• ones

• tenths

• hundredths

Fill in the Blank

Write the name of the place of the underlined digit in the decimal 6.3

Fill in the Blank

Write the name of the place of the underlined digit in the decimal 15.09

2.48 is two and forty-eight hundredths.

You can also read 2.48 as two point four eight

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​ EXAMPLES

​

Look at the numbers in words and decimals.

​

* 2.3 → two and three tenths.

* 32.26 → thirty-two and twenty-six hundredths

* fifteen and five-tenths → 15.5

* sixteen and twenty-three hundredths → 16.23

* ten point zero eight →10.08

​Reading and writing decimals

Multiple Choice

Which of the following is 8.3 in words? 

• Eight and three tenths

• Eighty-three

Multiple Choice

Which of the following is 24.07 in words? 

• Twenty-four hundred and seven

• Twenty-four and seven hundredths

Fill in the Blank

Write the number "Five point three" in decimals (in digits)

Fill in the Blank

Write the number "Seventeen and thirty-one hundredths" in decimals (in digits)

Let`s order numbers with one or two decimal places and compare using the < and > signs

​To compare decimal numbers, we need to compare the digits with the most value first

​Both numbers have 0 ones,

so we need to compare

the number of tenths they have instead.

​9 tenths are greater than 8 tenths, so 0.9 is greater than 0.84

Multiple Choice

Which one is bigger?

• 0.6

• 0.7

Multiple Choice

Which one is the smallest?

• 3.47

• 3.75

• 3.45

Fill in the Blank

Write <, > or = 

0.17 ........ 0.2

Fill in the Blank

Write <, > or = 

2.40 ........ 2.04

Adding zeros to the end of the decimal part of a decimal number does not change the number.

​

Look at the decimal numbers below,

they are all the same.

​

2.6 = 2.60 = 2.600 = ....

Fill in the Blank

Write <, > or = 

0.30 ........ 0.3