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.

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

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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

2.48 is two and forty-eight hundredths.

You can also read 2.48 as two point four eight

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​ EXAMPLES

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Look at the numbers in words and decimals.

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* 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

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

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

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Look at the decimal numbers below,

they are all the same.

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2.6 = 2.60 = 2.600 = ....